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Mechanical Engineering Questions and Answers September 02, 2019

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A movable bracket is held at rest by a cable attached at \ ( C \ ) and by frictionless rollers at \ ( A \ ) and \ ( B \ ) . Draw the free - body diagram of this bracket.
A movable bracket is held at rest by a cable

Semi - infinite solids A ( initially at 0 C ) and B ( initially at 1 0 0 C ) are placed in contact with each other. Materials A and B have identical properties except for conductivity. The conductivities are related by the equation k A = 4 k B . Calculate the equilibrium temperature at the surface where the solids come into contact C .
Semi - infinite solids A ( initially at 0 C ) and

Problem A double reduction gearbox design has developed to the point that the general layout and axial dimensions of the countershaft carrying two spur gears have been proposed, as shown in Figure 1 ( a ) . Figure 1 ( b ) shows that the gears and bears are located and supported by shoulders and held in place by retaining rings. The gears transmit
Problem A double reduction gearbox design has

A shaft is 3 . 0 0 ' ' in nominal diameter. A gear is going to be mounted on the shaft and needs a key to transmit torque to the shaft. The gear will transmit 5 0 0 f t - l b of torque. The safety factor for this application must be 1 . 5 minimum. If the key has a yield strength of 1 2 0 kpsi , size the key and analyze the stress on the key to
A shaft is 3 . 0 0 ' ' in nominal diameter. A

An external - compression supersonic inlet with a single ramp operates in critical mode as shown. The flight speed is 7 5 0 m s e c where the ambient air ( static ) temperature and pressure are 2 2 4 K and 2 0 kPa respectively. Neglect all losses except those occurring due to shocks. Also, use = 1 . 4 and R a i r = 2 8 7 m 2 s 2 ( K ) for this
An external - compression supersonic inlet with a

I would like to get the right answer to this practice problem question 9 pls help me find the correct solution pls
I would like to get the right answer to this

A container is made out of steel and it weighs 5 N . The diameter of the container is 0 . 3 m . And the height of the container is 1 . 5 m . 2 3 of the container is filled with a substance. The total weight of the substance and the container is 1 3 kg . Calculate the substance's density, specific weight, and specific gravity.
A container is made out of steel and it weighs 5

State of stress at a point is given in the figure. It is known that maximum principal stress at the point is 1 = 1 8 0 MPa, a ) Find 0 b ) Find all principal stresses and principal directions. c ) Find maximum shear stress d ) Draw Mohr's circle for the state of stress
State of stress at a point is given in the

A hollow rectangular bean shown is figure is subjected to uniformly distributed load of 1 . 5 kN / m . Determine the maximum compressive stress in the beam and shows the location of the same on a sketch.
A hollow rectangular bean shown is figure is

Scmid law.Please explain with diagram
Scmid law.Please explain with diagram

A flow transmitter, consisting of a differential pressure transmitter measuring the pressure drop across an orifice sized for a maximum flow of 7 5 0 gpm , when the flow is 5 0 0 gpm . The time constant is negligible. DeltaP is proportional to F 2

A Diesel cycle operates at a pressure of ( a ) 1 bar at the beginning of compression and the volume is compressed to of the initial volume. Heat is supplies until the volume is twice 1 6 that of the clearance volume. Calculate the mean effective pressure of the cycle. Take for air C = 1 . 0 0 5 KJ / KgK , C , = 0 . 7 1 8 KJ / KgK and R = 0 . 2 8 7

Problem 1 . 2 Two solid cylindrical rods A B and B C are welded together at B and loaded as shown. Knowing that d 1 = 5 0 m m and d 2 = 3 0 m m , find the average normal stress at the midsection of ( a ) rodAB, ( b ) rodBC.
Problem 1 . 2 Two solid cylindrical rods A B and

fsolve Practice 0 solutions submitted ( max: 1 ) The complex - number notation of the vector loop equation for four - bar crank - rocker linkages is given below. a e j 2 + b e j 3 - c e j 4 - d e j 1 = 0 The input of this equation is 2 , and the value of 1 = 0 is constant. The goal is to compute the two uknowns ( 3 and 4 ) . To generate the two
fsolve Practice 0 solutions submitted ( max: 1 )

1 . An experiment with an isotropic, linearly elastic rock core ( right - circular cylinder ) of height \ ( h \ ) and radius \ ( b \ ) and known elastic properties \ ( ( E , v , \ mu , \ lambda ) \ ) was conducted in three sequential stages ( I + II + III ) . ( I ) The core was jacketed, placed in a Hoek - Franklin style pressure vessel, and the
1 . An experiment with an isotropic, linearly

The turret lathe section has six machines, all devoted to the production of the same part. The section operates 1 0 shifts / week . The number of hours per shift averages 8 . 0 . Average production rate of each machine is 1 7 unit / hour . Determine the weekly production capacity of the turret lathe section. If the availability of the machines ( A

3 . Using the information provided, analyze the mechanical power train shown below, and complete the data chart. Show all formulas, calculations, and units. Note: Assume that the power train has an efficiency of 1 0 0 %
3 . Using the information provided, analyze the

Q 2 What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2 . 1 1 0 - 4 m m . and a crack length of 3 . 8 in . ) when a tensile stress of 1 4 0 MPa ( 2 0 , 0 0 0 psi ) is applied
Q 2 What is the magnitude of the maximum stress

If the wide - flange beam is subjected to a shear of V = 2 5 kip, determine the max shear stress in the beam.
If the wide - flange beam is subjected to a shear

Two vertical forces are applied to the ABCD beam as shown below. The cross - sectional area of the beam is given in the right image. Determine the maximum tensile and compressive stresses in the mid - portion ( E ) of the beam ( 2 5 pts )
Two vertical forces are applied to the ABCD beam

QUESTION 9 A prosthetic knee joint must achieve an angular velocity of 2 r a d s to mimic natural gait. If the moment of inertia of the prosthetic limb segment is 0 . 5 k g m 2 , what torque is required to accelerate the joint from rest to 2 r a d s in 1 s ? - 1 1 - 2
QUESTION 9 A prosthetic knee joint must achieve

Problem 3 : Motion design [ 1 2 points ] Upon graduation, you have been hired by Intel to help them setup a fabrication facility for their newest line of chips. Your task is to design a chip delivery system for their testing room. A tray attached to a follower will: ( a ) wait under a robotic arm while a new chip is being placed, ( b ) move away
Problem 3 : Motion design [ 1 2 points ] Upon

3 . Consider stress - strain data for a material below. The material is stressed to \ ( \ mathbf { 1 2 0 } \ mathbf { ~ M P a } \ ) and then released. The yield point of the strain hardened material is: A . 8 5 MPa C . 1 2 0 MPa B . 1 1 4 MPa D . 1 2 8 MPa
3 . Consider stress - strain data for a material

Part A - Design question ( 4 0 % ) : Rectangular pipes are designed to carry fluid ( gas ) . A rectangular pipe with a width of 1 0 0 cm is to be constructed, with the fluid temperature at 3 0 C . flowrate of 0 . 0 0 4 6 m 3 s e c . The viscosity is 7 . 9 7 1 0 - 4 n s m 2 and 8 1 0 - 7 m 2 s . Based on the assigned task, answer the following
Part A - Design question ( 4 0 % ) : Rectangular

Forces in a suspended ocean observation platfor An ocean observation platform weighing 3 0 0 lb is suspended over a sea urchin breeding ground from a beach, a bunch of balloons, and a sail using a long cable as shown below. The balloons exert a net lift force directly upward on a frictionless pulley. The sail attached to the observation platform
Forces in a suspended ocean observation platfor

You must build the cantilever shown in the figure. The maximum length of cabl 3 you have available is 5 m and the maximum tension the cable can support is 2 4 8 N . The material used for the cantilever has a density of 2 2 kg per meter length of the cantilever. What is the maximum length ( in m ) of the cantilever that you can build?
You must build the cantilever shown in the

QUESTION 5 Refrigerant - 1 3 4 a is throttled from the saturated liquid state at 7 3 0 kPa to a pressure of 1 6 0 kPa . Determine the quality of the refrigerant after this process. Write your answers with 3 decimal figures.
QUESTION 5 Refrigerant - 1 3 4 a is throttled

( 3 0 Points ) A simple structure is loaded as illustrated and is in equilibrium. a . If the yield stress for the material of cable A B is y = 3 4 5 MPa and a factor of safety on yield of F . S . y = 2 . 5 is required, determine the minimum required diameter of cable AB . . 1 1 4 1 m b . Determine the minimum diameter of pin C if the allowable
( 3 0 Points ) A simple structure is loaded as

PROBLEM 4 [ 2 5 PTS ] Determine the force in each member of the truss and state if the members are in tension or compression. Use method of joints.
PROBLEM 4 [ 2 5 PTS ] Determine the force in each

Problem 3 ( 2 5 Points ) Determine the reactions at the supports.
Problem 3 ( 2 5 Points ) Determine the reactions

Water flows at 0 . 6 0 0 m L s through a horizontal tube that is 5 0 . 0 cm long and has an inside diameter of 1 . 5 0 mm . Assuming laminar flow, determine the pressure difference p required to drive this flow if the viscosity of water is 1 . 0 0 mPa * s . , p =
Water flows at 0 . 6 0 0 m L s through a

A piston cylinder device contains 2 . 1 kg of argon initially at 3 0 C . Argon is compressed from 1 0 0 kPa to 2 0 0 kPa in a polytropic process where PV 1 . 5 is constant. Heat transfer for this process. Write your answer in kJ with 2 decimal figures.

Water flows through a pipe with a diameter of = 0 . 0 2 m at a velocity of = 0 . 5 m / s . The density of water is = 1 0 0 0 kg / m ^ 3 and the dynamic viscosity is = 0 . 0 0 1 Pa . s . What is the Reynolds number for the flow?

Quito, Ecuador, has an average altitude of 2 8 5 0 m . On a standard day, pressure gage A in a laboratory experiment reads 6 7 kPa and gage B reads 1 0 9 kPa . Express these readings in gage pressure or vacuum pressure, whichever is appropriate. Vaccum pressure P A = Pa Gage pressure p B = ? b a r ( P a )
Quito, Ecuador, has an average altitude of 2 8 5

Determine the maximum deflection at C . The load at D is 1 4 kN and at C is 4 kN . Give the deflection in mm . Use E = 2 0 0 GPa and I = 7 0 ( 1 0 6 ) m m 4 .
Determine the maximum deflection at C . The load

A well - insulated 0 . 0 1 2 - m 3 tank contains 1 3 . 6 kg of R - 2 2 refrigerant satur. ated mixture at 3 0 C . A valve is opened to recharge an air - conditioning system. A . Find the initial pressure, the quality of the refrigerant, and the initial volume of liquid in the tank. B . Two kilograms of refrigerant are slowly ( reversibly ) bled
A well - insulated 0 . 0 1 2 - m 3 tank contains

An electric resistance heater is used to provide space heating at an efficiency level of 1 0 0 % . The electricity is sold at $ 0 . 1 per kWh . Question: How much money is needed if 1 1 9 1 . 1 MBH is demanded? Hint: 1 MBH equals 1 , 0 0 0 btuh Answer:
An electric resistance heater is used to provide

2 3 0 . What are the different methods used for process troubleshooting in chemical processes?

7 . For each point on the graph describe the phase ( s ) , composition of each phase, the weight fraction of each phase ( use your best judgment with the ruler to approximate and guess the numbers ) , and sketch the microstructure
7 . For each point on the graph describe the

A stiffener in an aircraft structure is a T section is made out of 7 0 7 5 - T 6 5 1 aluminium ( K I C = 3 0 MPa m 2 , Y s = 5 5 0 MPa ) as shown in the figure below. A crack of length " a " may be present in the stiffener. A bending moment of 2 0 0 N . m is applied about the x - axis such that the crack is subjected to tensile stresses. ( Assume
A stiffener in an aircraft structure is a T

Preblem 2 ( 2 5 points ) As a measure to increase the efficiency of a steam - based power cycle, a portion of water vapor is routed from the turbine to an open feedwater heater to preheat liquid water prior to entering a boiler. Liquid water enters the heater at a peessure of p 1 = 1 5 b a r and T 1 = 3 0 C Steam enters the heater at the same
Preblem 2 ( 2 5 points ) As a measure to increase

When the natural vibration frequency of a machine or structure coincides with the frequency of the external force acting on it , the phenomenon that occurs and leads to large deformations and mechanical failures is called:

Consider the area shown in the figure, where a = 7 i n . Determine the polar moment of inertia of the area with respect to point O . The polar moment of inertia of the area with respect to point O is i n 4 .
Consider the area shown in the figure, where a =

Question 6 . The following particulars apply to an orifice provided in the side of a tank: \ table [ [ Diameter of the orifice:, 3 2 mm ] , [ Delivery of water:, 0 , 7 7 m 3 m i n
Question 6 . The following particulars apply to

A Michelson interferometer is set for the white straight fringes. When a mica sheet of thickness 0 . 0 0 5 cm is put in front of the fixed mirror, then in order to bring back the coloured fringes to their original position, the movable mirror is moved by 0 . 0 0 2 5 cm . Calculate the refractive index of mica.

Determine the normal force, shear force, and moment at points \ ( B \ ) and \ ( C \ ) of the beam. The \ ( 6 0 - \ mathrm { kN } - \ mathrm { m } \ ) of constant moment is acting at point D .
Determine the normal force, shear force, and

An open cylindrical container with 7 5 cm height and 1 5 cm radius is filled with ( 1 0 water to a depth of 6 0 cm . ( i ) Calculate the height of paraboloid formed at the free surface of water when it rotates about vertical axis at 2 5 0 pm . ( ii ) How fast the container be rotated so that the free water surface reaches the upper rim of the

Molten metal is poured into the pouring cup of a sand mould at a steady rate of 1 0 0 0 cm 3 / s . The molten metal overflows the pouring cup and flows into the downsprue. The cross - section of the sprue is round, with a diameter of 3 . 4 cm at the top. If the sprue is 2 5 cm long. ( a ) Determine the proper diameter at the sprue so as to

If 3 hp is to be transmitted corresponding factors of safety for a pinion life of 1 0 8 cycles and a reliability of 0 . 9 3 0 , determine the value of each of the following parameters: Transverse diametral pitch, Pt Pitch - line velocity, V Transmitted load, Wt Pinion size factor, ( Ks ) P Gear size factor, ( Ks ) G Reliability factor, YZ ( KR )
If 3 hp is to be transmitted corresponding

[ 1 0 Pts ] Compressed liquid water at 2 0 C and 5 0 0 kPa is entering a chamber at a rate of 5 k g s . Heat is applied to the chamber to turn the water into a binary steam - liquid mixture at 2 5 C . According to the density difference, steam and liquid water are separated through two different exiting channels as shown below. If the exiting
[ 1 0 Pts ] Compressed liquid water at 2 0 C and

For the case shown in the figure determine the reactions in member A B and at C . The solution for this problem requires: a ) A properly drawn FBD; b ) A consistent set of equilibrium equations; c ) A numerical solution for the unknown reactions.
For the case shown in the figure determine the

The system shown in the picture is used to pump fuel ( specific weight = 4 8 lb / ft 3 , viscosity = 2 1 0 - 5 lb . s / ft 2 ) through the piping system to a storage tank as shown in the figure. At the inlet of the pipe, 2 0 0 ft upstream from the pump, fluid pressure and velocity are P 1 = 5 psi and V 1 = 4 . 6 ft / s , respectfully. Upstream of
The system shown in the picture is used to pump

Do the following: 1 . 1 Define the Problem ( 3 Marks ) a ) Define the problem using only essential information, b ) Recognize missing information and c ) List necessary assumptions using engineering, physics, and math principles. 1 . 2 Formulate the Problem ( 3 Marks ) a ) Develop a correct model for the problem considering all essential features
Do the following: 1 . 1 Define the Problem ( 3

Question: A twin - spool fighter jet engine inhales 1 0 0 kg / s of airflow with a BPR of 0 . 5 at standard sea level take - off and has a fan / LPC PR and HPC PR of 4 . 5 and 6 respectively. T 4 is 1 7 5 0 K . Compressor and turbine efficiencies ( Fan / LPC , HPC , HPT and LPT ) are 8 5 % , 8 8 % , 8 0 % and 8 2 % respectively. Calculate unknown

The truss of Figure below is subjected to a concentrated load at B of P = 3 3 . 3 5 kN , as shown. The cross - section area of all members A = 2 0 0 mm ? and the modulus of elasticity E = 2 0 0 GPa.Calculate the axial force in members ED , EC and CD ( + state that the force is in tension and - states that is in compression ) .
The truss of Figure below is subjected to a

6 . 5 1 The load F = 2 0 k N and the dimension L = 2 m . Use the method of sections to determine the axial force in member H K . Strategy: Obtain a section by cutting members H K , H I , I J , and J M . You can determine the axial forces in members H K and J M even though the resulting free - body diagram is statically indeterminate.
6 . 5 1 The load F = 2 0 k N and the dimension L

Draw the motions it goes through with a rotopole and bisectors 4 . The figure shows a " V - link" off - loading mechanism for a paper roll conveyor. Design a fourbar linkage to replace the air cylinder driver that will rotate the rocker arm and V - link through the 9 0 motion shown. Keep the fixed pivots as close to the existing frame as possible.
Draw the motions it goes through with a rotopole

Welding Symbols Test Section II For questions 1 - 1 2 , fill in the blanks using the information provided in the weld symbols. Type of Weld: Weld Location Type of Weld: Weld Location Type of Weld: Weld Location This is a weld. The 2 is the the 6 is the and 4 5 is the
Welding Symbols Test Section II For questions 1 -

Qurvion 1 Not yet angwirned Marked out of 1 0 . 0 0 flog quaction Crank AB rotates with a constant angular velocity shown in the figure below. Determine the magnitude of the velocity of the slider block C , and the angular velocity of link BC , at the instant shown.
Qurvion 1 Not yet angwirned Marked out of 1 0 . 0

An inverted pendulum with a point mass at the end of the massless rod is on the moon. Determine its stability type if the input is moment and the output is angle . The spring is unstretched when the pendulum rod is vertical. The spring and damper at the hinge are rotational. Assume small angular displacements. The parameters are: = 1 0 lb (

A shearing machine requires 1 5 0 kg - m of energy to shear a steel sheet, and has a normal speed of 3 rev / sec , slowing down to 2 . 8 rev / sec during the shearing process. The flywheel of the machine has a mean diameter of 7 5 cm and weighs 0 . 0 1 5 5 kg / cm 3 . The width of the rim is 3 0 cm . If the hub and arms of the flywheel account for

From an initial state where the pressure is p 1 , the temperature is T 1 , and the volume is V 1 , water vapor contained in a piston cylinder assembly undergoes each of the following processes: Process 1 2 : Constant - temperature to p 2 5 2 p 1 . Process 1 3 : Constant volume to p 3 5 2 p 1 . Process 1 4 : Constant pressure to V 4 5 2 V 1 .

IC L 5 Forces on Curved Plates The plate is submerged in lake water with a 1 0 0 0 k g m 3 density. The plate is 5 m long. Find the net horizontal and vertical forces on the plate.
IC L 5 Forces on Curved Plates The plate is

In a four - bar mechanism, the pendulum is required to oscillate counterclockwise at an angle of 6 0 degrees, and the corresponding arm is required to swing at an angle of 1 6 5 degrees clockwise. The length of the fixed limb in the mechanism is 5 0 mm . Draw the mechanism using the graphical drawing method. Dead position beam angle. Find it in

( 2 0 pts ) A composite block with uniform cross sectional area consists of a slib of aluminum with length L A = 0 . 3 7 5 m and a slab of copper with length L C = 0 . 4 6 5 m , as shown below. The temperatures of their outer surfuces are maintained at T A = 0 . 0 0 C and T C = 1 0 0 . 0 C . Assuming steady - state conditions ( which means the
( 2 0 pts ) A composite block with uniform cross

A point 1 4 3 mm from the center of rotation has a normal acceleration of 2 , 0 7 3 m s 2 . Determine the speed of rotation. Provide your answer in rad / s and round to one digit after the decimal point.
A point 1 4 3 mm from the center of rotation has

The crate C has a weight of 1 5 0 lb and rests on the truck elevator for which the coefficient of static friction is s = 0 . 4 6 . ( Figure 1 ) Figure 1 of 1 Part A Determine the largest magnitude of the initial angular acceleration , starting from rest, which the parallel links A B and D E can have without causing the crate to slip. No tipping
The crate C has a weight of 1 5 0 lb and rests on

Three forces are applied to the bar shown. Determine the normal and shearing stresses at ( a ) point a , ( b ) point b , ( c ) point c . Can someone explain why is Vx , and Vz positive when solving this problem. And the same is valid for moments they are both positive ?
Three forces are applied to the bar shown.

Since air is not naturally lubricating, lubricant needs to be added as it enters the compressor. True False
Since air is not naturally lubricating, lubricant

2 . 3 The UNISA student practical requires you as an industrial engineering to design the functional pneumatic system. You are expected to design a functional system for pneumatics using the given information: - Push button, - Air connecting tube, - Double acting cylinder, - 5 / 2 valve and air suppling component. - Tube joiner A push button has

F 1 = F 2 = F 3 = F 4 = 1 0 0 0 lb a = 1 0 ft theta = 3 0 degrees. I am looking for the force in member CG . I know the answer is 1 0 0 0 lb i just dont know how
F 1 = F 2 = F 3 = F 4 = 1 0 0 0 lb a = 1 0 ft

Figure 1 shows a hot \ ( 5 0 - \ mathrm { cm } \ ) thick brass plate is having its upper surface cooled by an impinging jet of air at temperature of \ ( 1 5 ^ { \ circ } \ mathrm { C } \ ) that create convection heat transfer coefficient of \ ( 2 2 0 \ frac { \ mathrm { ~W } } { \ mathrm { ~m } ^ { 2 } \ mathrm { k } } \ ) . The brass plate has a
Figure 1 shows a hot \ ( 5 0 - \ mathrm { cm } \

How do i Sketch this on solid works in details PART 5
How do i Sketch this on solid works in details

Exercise 2 . 3 Which of the following is FALSE: a . In a HEV, when the vehicle is braking, its kinetic energy can be recovered by a generator and stored on - board. b . The weight of a HEV is typically lower than that of conventional vehicles, due to engine downsizing. c . Depending on the sizing of the secondary power source, in a HEV the engine

A rectangular block of material is subjectedio a tensile stress of 1 1 0 N ? m m 2 on one plane and a tensile sress of 6 0 N m m 2 on a plane at right angles, together with shear stresses of 7 0 N m m 2 on the faces. Find the following terms: [ 9 ] i ) The magnitude of principalstresses ii ) The magnitude of greatest shear stress iii ) The
A rectangular block of material is subjectedio a

An Otto cycle SI engine with a compression ratio of \ ( \ mathrm { rc } = 9 \ ) has peak cycle temperature and pressure of 2 8 0 0 K and 9 0 0 0 kPa . Cylinder pressure when the exhaust valve opens is 4 6 0 kPa , and exhaust manifold pressure is 1 0 0 kPa . Calculate: \ ( \ square \ ) - Exhaust temperature during exhaust stroke. \ ( \ left [ { } ^
An Otto cycle SI engine with a compression ratio

2 . 5 8 . Consider the base motion problem of Figure 2 . 1 3 . ( a ) Compute the damping ratio needed to keep the displacement magnitude transmissibility less then 0 . 5 0 for a frequency ratio of r = 1 . 5 . ( b ) What is the value of the force transmissibility ratio for this system? ( a ) ( b ) Figure 2 . 1 3 ( a ) Base - excitation problem
2 . 5 8 . Consider the base motion problem of

textbooks moodle Mail Calculus II Carbon - fiber and al . . . Coinbase christmas 6 1 5 3 % B 7 - 7 5 . Draw the shear and moment diagrams for the beam. ns for the rtical load. B Prob. 7 - 7 5
textbooks moodle Mail Calculus II Carbon - fiber

You collect a load versus displacement curve, as illustrated below. The initial diameter of the round gauge section is D = 6 . 3 5 mm and the initial Length is L 0 = 2 5 . 4 . You also collect the instantaneous diameter of the specimen during the test using a laser. mm Load, N d 0 , mm 0 . 0 0 0 0 0 . 0 6 . 3 5 0 . 0 1 7 8 4 4 4 8 . 2 6 . 3 0 0 .
You collect a load versus displacement curve, as

Learning Goal: To determine the stress - concentration factors in a notched member with a nonuniform cross section that is subjected to a bending moment. The member \ ( A B C D \ ) shown below ( Figure 1 ) is subjected to a bending moment. The member has a thickness of \ ( t = 2 5 \ mathrm { ~mm } \ ) , a full height of \ ( w = 3 5 \ ) mm , and a
Learning Goal: To determine the stress -

A flat key with square cross section is fitted on a 5 0 mm diameter shaft. The key is transmitting a torque of 4 7 5 N - m from shaft to hub. The key is made of commercial steel with Syt = Syc = 2 3 0 N / mm 2 . Determine the length of the key for the factor of safety to be 3 .

Ouestion 1 : ( 3 0 points ) Oil flows through a contracting horizontal pipe component as shown in the schematic. The pipe component has a circular cross - section with diameters D 1 and D 2 at Sections 1 and 2 , respectively. A manometer is used to measure the pressure difference between Sections 1 and 2 . For the given values of the specific
Ouestion 1 : ( 3 0 points ) Oil flows through a

The axial deformation of a homogeneous, uniform rod of length L , subjected to a constant load q along its length is described by the differential equation A E d 2 u d x 2 + q = 0 subjected to boundary conditions u ( 0 ) = 0 and A E d u d x | x | | = L = P L , where A and E are the cross - section area of the rod and Young's modulus of the
The axial deformation of a homogeneous, uniform

Pendulum of mass m at position A is released from rest. It then strikes the cart at position B , with mass of 0 . 5 kg . The coefficient of restitution of this impact is 0 . 8 . a ) Find the minimum velocity of the cart at position B after impact with the pendulum that is necessary to reach distance s = 5 m . b ) Find the minimum mass of the

An Electrically driven road vehicle of mass 4 5 0 kg has four wheels, of effective diameter 4 0 0 mm , radius of gyration 1 2 5 mm , and mass 9 kg . The armature of the electric motor has a mass of 6 5 kg , a radius of gyration of 1 0 0 mm , and rotates 4 times the speed of the wheels. The rolling resistance of motion of the vehicle is to be
An Electrically driven road vehicle of mass 4 5 0

A \ ( 1 \ mu \ mathrm { ~m } \ mathrm { SiO 2 } \ ) layer is deposited on a ( 1 0 0 ) Si substrate, and it is to be patterned and released over a cavity to form a free - standing cantilever beam having length \ ( 7 0 \ mu \ mathrm { ~m } \ ) and width \ ( 2 0 \ mu \ mathrm { ~m } \ ) . If the beam is to have a clearance on all three free sides of
A \ ( 1 \ mu \ mathrm { ~m } \ mathrm { SiO 2 } \

A torque ( moment ) of \ ( 2 7 \ mathrm { ~N } \ cdot \ mathrm { ~m } \ ) is required to turn the bolt about its axis. Determine \ ( P \ ) and the magnitudes of the forces between the smooth hardened jaws of the wrench and the corners \ ( A \ ) and \ ( B \ ) of the hexagonal head. Assume that the wrench fits easily on the bolt so that contact is
A torque ( moment ) of \ ( 2 7 \ mathrm { ~N } \

Liquid nitrogen at a temperature of - 2 4 0 F exists in a container, and both the liquid and vapor phases are present. The volume of the container is 3 ft 3 and the mass of the nitrogen in the container has been determined as 4 4 . 5 lbs . What is the mass of liquid and the mass of vapor present in the container?

Estimate the heat transfer between the roof of a freezer truck ( 1 1 m long and 2 . 3 m wide, travelling at 6 0 mph; 1 mile = 1 6 0 9 m ) and the am - bient air. The roof is maintained at 1 0 C while the air ( on a windless day ) is at 2 7 C . The properties of air at the film temperature are 1 0 0 6 J kg 1 K 1 ; 1 . 8 0 5 1 0 5 Pa s; and 0 . 0 2

To estimate heat transfer rate, the average human body may be approximated as a 1 . 8 - m vertical cylinder with a diameter of 3 0 cm . Suppose the surface temperature of the cylinder is 7 8 F , the surface emissivity is 0 . 9 , and the cylinder is placed in a large room with air temperature of 7 2 F and wall temperature of 4 0 F . a . Calculate
To estimate heat transfer rate, the average human

Collars A and B are connected by a wire and may slide freely on the frictionless rods. If a force Q of magnitude 4 5 0 N is applied to collar A as shown. It is given c = 3 6 0 m m and b = 8 0 m m . Determine ( a ) the tension in wire and ( b ) the corresponding magnitude of force P required to maintain equilibrium of the system.
Collars A and B are connected by a wire and may

Does surface tension affect the interaction of fluids on acrylic walls? I have read in some books about viscosity that fluids can stick to acrylic walls. Could you provide input for my research based on the image below, which involves using fluida aquades? What role does surface tension play in the adhesion of fluids to acrylic walls, or is it
Does surface tension affect the interaction of

3 . Determine the spring stiffness of the spring on C A given: - Spring CA has a change in length of 5 m - The mass of the block at D is 2 0 0 kg - Ignore the spring CB
3 . Determine the spring stiffness of the spring

A backhoe bucket carries a 5 , 8 1 4 1 b load. The movement of the cube is controlled by two identical arms ( DFG ) , one of which is shown in the figure. Find the force in pounds, exerted by the hydraulic piston FH . Neglect the weight of the components. Solve on paper, as you will need to upload the solution. The FBD must: Clearly identify the
A backhoe bucket carries a 5 , 8 1 4 1 b load.

BP 5 : A cantilevered beam of 3 identical segment with constant EI and length L is loaded with F as shown. Determine the horizontal deflection at the free end using Castigliano's Method. Ignore deflections due to shear. Please show work.
BP 5 : A cantilevered beam of 3 identical segment

How to solve for F , knowing length L = 2 4 in . and H = 3 0 . 2 in .
How to solve for F , knowing length L = 2 4 in .

Calculate the displacement thickness at x = 4 3 cm for a fluid traveling at 3 3 6 mm / s with a kinematic viscosity of = 6 . 1 5 1 0 6 m 2 / s .

PROCTDURE: When making mensurements, check the rero point periodically to confirm that there is no discrepancy Using vernier, ticasure the width and thicknees of hexagon head screw to recognize the type of metric serew Record the data in Table I Using the micrometer, measure dimmets of the three wires at various locations slong wifes Aecond the
PROCTDURE: When making mensurements, check the

In the Spring - Mass - Damper system, determine the free - response ( when f ( t ) = 0 ) with the initial conditions x ( 0 ) = v 0 , x ( 0 ) = x 0
In the Spring - Mass - Damper system, determine

( 2 0 pts ) Air from inside a house enters a steady - flow heat exchanger with a volume flow rate of 2 0 0 m 3 m i n at 1 5 C , 1 0 0 kPa and leaves the heat exchanger at 3 5 C . This heat exchanger is located inside the air handler of a house heat pump system and receives heat from the heat pump. The heat pump receives heat from air outside the
( 2 0 pts ) Air from inside a house enters a

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