Mechanical Engineering Questions and Answers August 28, 2018

(b) Number MI A block of wood floats in fresh water with 0.601 of its volume V submerged and in oil with 0.893 V submerged. Find the density of (a) the wood and (b) the oil. (a) Number Units Units

A platform, having an unknown mass, is supported as shown in by four springs, each having the same stiffness k. When nothing is on the platform, the period of vertical vibration is measured as 2.35 s whereas if a 3.2kg block is supported on the platform, the period of vertical vibration is 5.23 s. Part A Determine the mass of a block placed on the

The 8lb sphere is attached to a rod as shown in of negligible mass and rests in the horizontal position. Part A 1 ft 0.5 ft www k 10 lbft Determine the natural frequency of vibration. Neglect the size of the sphere. Express your answer to three significant figures and include the appropriate units. f

A rivet is to be inserted into a hole. A random sample of n 15 parts is selected and the hole diameter is measured. The sample standard deviation is s 0.006 millimeters. Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeters Use a 0.01. (a) Calculate the test statistic x. Round your answer to

Water at 54F is heated by passing it through 0.75in. internaldiameter thinwalled copper tubes. Heat is supplied to the water by steam that condenses outside the copper tubes at 250F. If water is to be heated to 140F at a rate of 0.7 lbms, determine the length of the copper tube that needs to be used. Assume the entire copper tube to be at the

C. Initially, saturated vapor water is held in a RIGID, SEALED tank of 0.3014 m total volume. Energy is lost to the environment until the water finally has the following properties p1000 kPa, T179.88C quality 0.7766 specific volume 0.15119 mkg u2175.87 kJkg and h2327.048k kJkg. 6. (15 pts) In C, what is the mass of water kg 7. (10 pts) In C,

Consider the test of Ho o 16 against H02 16. What is the critical value for the test statistic X for the significance level a 0.005 and sample size n 17 Give your answer with two decimal places (e.g. 98.76). i 31.41

An orthogonal cutting operation is being carried out under the following conditions to 0.1 mm, tc 0.2 mm, width of cut 5 mm, cutting speed V 2 ms, rake angle 10, Fc 500 N, and Ft 200 N. Calculate (a) the shear angle , (b) the friction force F at the rake face, (c) the chip velocity Vc, (d) the total specific energy (energy required to

The Youngs modulus and ultimate tensile strength of the most popular ceramic material, aluminum oxide or alumina (Al2O3) are 370 GPa and 300MPa, if it has zero porosity GPa. (a) Determine the porosity of an alumina if its Youngs modulus is measured as 325 (b) Determine the exponent n if the same alumina as in (a) is measured to have an ultimate

In a region of Earths surface where the average amount of solar energy striking a square meter of ground each second is 230 J, how many photons strike each square meter each second Use 580 nm for the average wavelength of this solar radiation.

For the following solid crosssection (a) Compute the sectional centroidal bending stiffnesses. (b) Determine the orientation of the principal centroidal axes of bending. (c) Compute the principal centroidal bending stiffnesses. Use the following a 0.5 m, E 200 GPa. 2a 2a a

Water (Cp4180 Jkg.C) enters a counter flow flat plate heat exchanger at 10C at a rate of 27 Lhr, where it is heated by a hot water stream (Cp 4196 Jkg.C) that enters the heat exchanger at 100C at a rate of 80 kghr. The heat exchanger composed of 16 plates. The area of each plate is 0.0123 m. Also, the overall heat transfer 1.0 coefficient is

A simple ideal Rankine cycle which uses water as the working fluid operates its condenser at 30C and its boiler at 350C. Calculate the work produced by the turbine, the heat supplied in the boiler, and the thermal efficiency of this cycle when the steam enters the turbine without any superheating. Mass flow rate through the system is 250kg/s

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Horizontal boom OAB with total length 2 2 m is held in equlibrium by cables AD and BE and by a ball andsocket joint at O. A crate with weight W 675 N is hung from the end of the boom at point B. The coordinates of points D and E are D (1.5, 0, 1.5) m E(1.5, 0, 1.5) m Determine the tension in cables AD and BE and the reaction forces at

TAC 0 N 0 TAD 0 N 0,Uniform slender rod OA has weight Wr Vrod 350 N and is held in equilibrium by cable AD, cable AC, and ballandsocket joint O. A crate with weight Wcrate 825 N is hung from the end of rod OA at point A. The coordinates of points A, C, and D are A (2,1, 0.5) m C (0,5,3) m D (0,7,1.5) m Determine the tension in cables AC

2. (25 points) Your friends have been separated from you. They need to dive to the bottom of a pool to retrieve the next key without being crushed, but you cant spill any water You have to determine what spring to use to keep the gate closed when the water level rises to A. A quartercircular gate of radius 3 m and negligible weight is hinged at

The plate has a thickness of 0.25 ft and a specific weight of y 180 lbft. Determine the location of its center of gravity. Also, find the tension in each of the cords used to support it. Solution B 16 ft C 16 ft

Solution Locate the centroid of the plate area shown in Fig. 2 ft 1 ft 1 ft 2 ft (a) 3 ft

What should be the power supplied by the pump in order to have a flow velocity V6.25 msec within the pipe. Working fluid is water (density of water 1000 kgm dynamic viscosity of water. 1.13 E03 kgm sec). The pipe is commercial steel pipe with roughness, e0.046 mm, and diameter D152 mm p620 kPa gage K0.3 160 m Pump 30 m 160 m K0.9 70 kPa gage 152

6) Air enters the compressor of a coldairstandard ideal Brayton cycle at 100 kPa and 300 K, with a mass flow rate of 7 kgs. The compressor pressure ratio is 10. The turbine inlet temperature is 1400 K. Determine (a) air temperature at the exhaust of the compressor, (b) air temperature at the exhaust of turbine, (c) heat input and heat output from

A production process for the JMF Semicon is monitored using control charts. Ten samples of 15 observations have been gathered with the following results Mean 251 Range 29 258 45 233 36 275 25 234 35 289 20 256 3 265 19 246 14 323 46 i. ii. iii. Using the data in the table, compute the centre line, upper, and lower control limits for the

a) How would you construct the static roll center for the front of a car from the lateral ICs of both left front (LF) and right front (RF) wheels and their position on the car b) How is the roll center height generally affecting the roll behavior of a car, and how can it be tuned (I.e., in your opinion, how could one tune the ICs that define the

Problem 1 For the stress element shown, calculate 1) the inplane principal stresses, 2) th inplane maximum shear stress, 3) draw the inplane Mohrs circle, 4) calculate the maximum outofplane shear stress, 5) draw Mohrs circle corresponding to part 4. 9 ksi 7 ksi X 11 ksi

1. The truss is loaded as shown below. Find the forces in the members a. BE, b. BG, c. and BH. 1000 lb 1000 lb 1000 lb B G 1000 lb 12 16 4 8 H J E. K Six panels, each 10, total 60 C D

5) Pressurized water (Pin 10 bar, Tin 110 C) enters the bottom of an L12m long tube of diameter D110mm at a mass flow rate of 1.5 kgs. The tube is located inside a furnace, resulting in heat transfer o the tube. Superheated steam exits the top of the tube at Pout7 bar and Tout 600 C. Determine the change in the rate at which the following

A 2.1 kg piece of metal at 70 C is placed in 4 liters ( 4 kg) of water at 20 C. The final temperature of the system is 23.5 C. C(H2O)4184 JKgC. What is the specific heat of the unknown metal (Round to the ones place)

In (Figure 1), F 300 N and 0 10. Part A Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. Figure F2200 N F 180 N 13 12 60 H FR Value Units Submit Request Answer Part B 1 of 1 Determine the direction of the resultant force, measured counterclockwise from the

A single fin increases heat transfer from a flat surface by 194 W. The surface area of the fin is 0.06 m and the temperature at the base of the fin is 675 K. The surrounding fluid is at 305 K and the heat transfer coefficient between the surface and the fluid is 12 WmK. What is the efficiency of the fin Give your answer as a percentage to the

Closed end 10.2 m 75 mm diameter 2 m Figure 6 125 mm diameter,Water is siphoned from the tank shown in Figure 6. The water barometer indicates a reading of 10.2 m. Determine the maximum value of h allowed without cavitation occurring. Note that the pressure of the vapor in the closed end of the barometer equals the vapor pressure.

12 h Diameter D2 Figure 5 0 45 13 Diameter D,Water flows from the large open tank shown in Figure 5. If viscous effects are neglected, determine the heights, h1, h2, and h3, to which the three streams rise.

Two springs are attached to an object of mass, 9 kg on a horizontal frictionless surface. Springs constant of both springs is 1650Nm. Object is pulled away from the point A, a distance x18cm as seen in Figure. If the particle is released, what is its speed when it comes back to the equilibrium point A (initial length of the springs, L150cm)

2A) A harmonic displacement is x(t) 2.35 sin(3.7t77) mm, where t is in seconds and the phase angle in radians. Find (a) the frequency (in radsec and Hz) and the period of the motion (in sec) (b) the maximum displacement, velocity, and acceleration (c) the displacement, velocity, and acceleration at t0 s (d) the displacement, velocity, and

. Determine the required length of cord AC s that the 8 kg lamp is suspended in position shown. The undeformed length of spring AB is Lab 0.4m and the spring has a stiffness of k 300 Nm 2m 30 D www

Air enters an adiabatic turbine at steady state with a pressure of 10 bar and temperature of 1250 K. It leaves the turbine at a pressure of 1 bar and 1000 K. Assume the specific heat ratio k, is constant at 1.4. What is the isentropic efficiency of this turbine, in (e.g, 50, not 0.50).

For the system having the transfer function G(s) 10(s2) s8s15 perform the partial fraction expansion Problem 5 For the system given in problem 4, write the differential equation of the output y and input u, when all the initial conditions are zero.

Draw the shear and moment diagrams for the beam, and determine the shear and moment throughout the beam as functions of x for 0 x 6 ft and 6 ft x 10 ft. 2 kipft 10 kip 8 kip 40 kipft 6 ft 4 ft

If the force applied to the handle of the load binder is 50 lb, determine the tensions T and T in each end of the chain and then draw the shear and moment diagrams for the arm ABC. 750 lb 12 in. B 3 in. T

3) A closed system consisting of 4 lb of a gas undergoes a process during which the relation between pressure and volume is pV constant. The process begins with pi 15 lbfin, v 1.25 ftlb and ends with p2 53 lbfin, v 0.5 ftlb. Determine (a) the volume, in ft, occupied by the gas at states 1 and 2 and (b) the value of n. (30 points) State 1 Gas

10 A double pain insulated window unit is installed in a store. The unit consists of two 10mm thick pieces of glass (k0.05 Wmake) separated by a 18mm layer of air. The unit is 3m high and 4m wide. Determine the rate of heat transfer through the unit when the extreme outside surface of the glass is at 10C and the inside surface of the other pane of

1. Calculate the centroid, moment of inertia about the horizontal axis XX (Neutral Axis), Section modulus, and Radius of Gyration of the Ibeam section used as a spar in the wing structure of an aircraft. All dimensions are in mm. 250.00 38.00 25.00 I 300.00 A 38.00 150.00

1. A diatomic ideal gas, at the initial state of T 300 K, P 1 atm and V 10 L is heated at constant volume until P 10 atm. It then undergoes a reversible isothermal expansion until P 1 atm. It is then restored to its original state by the extraction of heat at constant pressure. Depict this closed cycle process in a PV diagram. Calculate w, q,

5. Consider the reaction TiO2 (s) 2C (graphite) 2Cl2 (g) 2CO (g) TiCl4 (1) for which AH (298K) 80.01 kJ mol. Given the following data at 25C, Substance TiO2 (s) Cl2 (g) C (graphite) CO (g) TiCl4 (1) AH (kJ mol1) 945 110.5 Cp (J Kmol) 55.06 33.91 8.53 29.12 145.2 (a) Calculate AHreaction at 135.8C, the boiling point of TiCl4. (b) Calculate AH

Two forces F1 and F2 are applied as shown in the figure. The resultant R has a magnitude of 750 lbf and acts along the positive xaxis. Determine the magnitudes of F1 and F2. (Round the final answer to four decimal places.) F 45 R x 30 F2 The magnitude of F1 is Ibf. The magnitude of F2 is lbf.

Part 2 Solve the following problem Oil with a specific gravity of 0.8 flows through the system shown in the figure. Calculate the volume flow rate of oil. Flow B 200mm inside diameter 300 mm 0.46 m y is an unknown distance inside diameter 1.18 m Mercury S.G 13.6

Q1 Consider a 15cmx15cmx15cm cubical body at 800 K suspended in the air. Assuming the body closely approximates a blackbody., determine (a) the rate at which the cube emits radiation energy in Watts and (b) the spectral blackbody emissive power at a wavelength of 6 m.

Ball bearings support a shaft at points A and B (see figure). 7.5 kN A 6 cm 5.5 kN 6 cm 6 cm B The shaft is used to transmit power between two Vbelts that apply forces of 7.5 kN and 5.5 kN to the shaft. Determine the magnitudes (in kN) and directions of the forces acting on the bearings. (Due to the nature of this problem, do not use rounded

3. A system has a single pole located at s 5. When exposed to a 5unit step input the system has a steadystate response of 35units. Determine the (a) system transfer function G(s) (b) 2 settling time T

The natural frequency of an SDOF system of unknown mass, m, and stiffness, k is originally wa 4. When a mass, M 1, is added to the system, the natural frequency is then measured to be w 22. Determine the unknown m and k of the original system. Assume consistent units. original M m

Consider the Truss assembly given in below a) Calculate elemental stiffness matrix. b) Compute global stiffness matrix. c) Apply boundary conditions and find reduced stiffness matrix. d) Solve for nodal displacements at the node where Force F is applied E200 GPa, A 10 mm, Az 500 mm, F500N,L200mm F L 60 30

A beam with a halfcircular crosssection with radius R 1.6 in is subjected to a maximum positive bending moment of 27100 lbin about a horizontal axis. Determine the maximum tensile and compressive flexural stress in the beam. R Denote a tensile stress with a positive number, and a compressive stress with a negative number. mazc psi psi

Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Take d 30 mm, d2 50 mm, and P 60 kN. P 0.9 m 125 kN 125 kN 1.2 m Find the average normal stress at the midsection of rod BC (Input the answer with the appropriate sign.) The average normal stress at the midsection of rod BC is MPa.

8. (2 pts) The average geothermal gradient in an area is 1.67 F per 100 ft. Estimate the expected reservoir temperature in a reservoir in your target zone which is approximately 7000 feet of depth. (Use 60 F as the surface temperature.)

Using superposition, find the deflection of the steel shaft at A in the figure. Find the deflection at midspan. By what percentage do these two values differ Take the magnitude of force (F) to be 340 lbf, w 130 lbfft, and a 14 in. F 24 in 15in A 1.5 india. shaft B I The magnitude of the deflection of the steel shaft at A is The magnitude of the

At what angle must the 400lb force be applied in order that the resultant R of the two forces have a magnitude of 960 lb For this condition what will be the angle between R and the horizontal 780 lb Answers 0 i i 400 lb o

At steady state, air at 200 kPa, 380 K, and mass flow rate of 0.5 kgs enters an insulated duct having differing inlet and exit cross sectional areas. The inlet crosssectional area is 6 cm. At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 ms. Neglecting potential energy effects and modeling air as an ideal gas with

In (Figure 1), n 3.5 m. Figure 1 of 1 1 m 1m O n F B A 1.5 m Part A Determine the magnitude of the component of the force F 50 N acting along the line AO Express your answer to three significant figures and include the appropriate units. (FAO) Value Submit Request Answer Part B Units Determine the magnitude of the component of force acting

Collar A starts from rest at t0 and moves upward with a constant acceleration of 3.6 in.s. Collar B moves downward with a constant velocity of 16 in.s. A C B Determine the time at which the velocity of block C is zero. (You must provide an answer before moving on to the next part.) The time at which the velocity of block C is zero is 6.67 S.

(a) Drive the equilibrium equation of motion for 2 DOF system equipped with base isolation as showed in following figure. (b) Drive base isolation natural frequency. Xb kb k M mb m1 X1 K2 m2 X2

The flight path of the helicopter as it takes off from A is defined by the parametric equations x (22) m and y (0.04t) m, where t is the time in seconds. (Figure 1) Part A Figure 1 of 1 Determine the distance the helicopter is from point A when t 13 s. Express your answer to three significant figures and include the appropriate units. d 349 m

For the compressor linkage shown in Figure P6.19, use the relative velocity method to analytically determine the linear velocity of the piston as the crank rotates clockwise at 950 rpm. Piston 35 Crank FIGURE P6.19 Problems 19, 20, 41, 52, 63, 74, 85, 96, 104, and 112.

A 150mmwide polyamide F1 flat belt is used to connect a 50mmdiameter pulley to drive a larger pulley with a speed ratio of 2.1. The centertocenter distance is 2.2 m. The rotational speed of the small pulley is 2000 rpm as it delivers 2 kW. The service is such that a service factor (Ks) of 1.25 is appropriate. The factor of safety (fs) is 1.1.

In (Figure 1). 58. Determine the coordinate direction angle a of F. Express your answer in degrees to three significant figures. vec a 72.61 Figure 60 120 F 300 N 45 F500 N Submit Previous Answers Request Answer Incorrect Try Again One attempt remaining Part B Determine the coordinate direction angle of F1. Express your answer in degrees to

For the beam shown, find the reactions at the supports and plot the shearforce and bendingmoment diagrams. V19 kN, V29 kN, V3 200 mm, and V4 1100 mm. V2 Provide values at all key points shown in the given shearforce and bendingmoment diagrams. B V P D 0.00 F 0.00 E (mm) (mm) Reaction force R (left) KN and reaction force R2 (right) kN. In the

A nozzle is a device for increasing the velocity of a steadily flowing fluid. At the inlet to a certain nozzle the specific enthalpy of the fluid of 3025 kJkg. The nozzle is horizontal and there is negliglible heat loss from it. Calculate (i) the velocity of the fluid at exit (3 marks) (ii) the rate of flow of fluid when the inlet area is 0.1 m

A car has a constant speed of 60 fts as it travels around a circular track with a radius of 400 ft. Determine the angular velocity, 0, in rads, of the particle at this instant. Hint Use the cylindrical coordinate system and take a look at the components of the velocity vector. Your Answer Answer

2. Incompressible fluid flows steadily through a diverging rectangular channel with the same width, as shown in the figure below. At the inlet, of height H, the flow is uniform with magnitude v. At the outlet, of height 2H, the velocity profile is V Vmax COS 2H y is measured from the channel centerline. If v a) average outlet velocity (V2,ave). H

Using superposition, find the deflection of the steel shaft at A in the figure. Find the deflection at midspan. By what percentag these two values differ Take the magnitude of force (A) to be 340 lbf, w 130 lbfft, and a 14 in. F 24 in W 15 in Adia. shaft The magnitude of the deflection of the steel shaft at A is The magnitude of the deflection

Given A set of four forces act on the structure shown below. Find For this problem a) Determine the equivalent forcecouple system at O. b) Determine the equivalent forcecouple system at A. Express your answers as vectors in terms of P and d. y 2 0 d B 2P 3P 2d A P d C P

A rocket is traveling vertically in the atmosphere and accelerating. Given the flight data below, find the exhaust velocity. Neglect atmospheric drag. a 15 ms m 1000 kg g 9.5 ms Pe 0.01 kgm Pe Po 5.5 kPa Ae 0.25 m

The Chicago North Shore Milwaukee Railroad was an electric railway running between the cities in its corporate title. It had passenger cars as shown in the figure, which weighed 100 kip (V1), had 31ft truck centers V2, 6ftwheelbase trucks V3, and a coupled length V4 of 52.39ft. Consider the case of a single car on a 100ftlong, simply supported

The ring is subjected to three forces. Determine the direction 0 of F and magnitude of F3 so that the ring is in static equilibrium. F 2 N 40 y 0 1M F3 F 3 N

A uniform rigid disk of radius r rolls without slipping inside a circular track of radius R, as shown. a) Derive the equation of motion using Newtons method. b) Derive the equation of motion using virtual work method. c) Find the natural frequency of oscillations in a small neighborhood of trivial equilibrium, 00. R

A torque T 70 Nm is applied to the shaft EFG, which is running at constant speed and contains gear F. Gear F transmits torque to shaft ABCD through gear C, which drives the chain sprocket at B, transmitting a force Pas shown. Sprocket B, gear C, and gear F have pitch diameters of a 140 mm, b 233.338 mm, and c 116.666 mm, respectively. The

Problem 2 (15 Points) Calculate the mobility of the mechanism using Kutzbach Criterion. Include a justification of the number of links, justification of the classification of each joint, and justification of the final mobility calculation.

Determine the tension produced in cables AB and AC if the weight of the box is 9,000 lb. Use either trigonometry or graphical method. B 50 30

If The section below is subjected to bending moment of 30kN.m (causing compression on the top fiber) and shear force of 20kN acting downward, find the depth of the neutral axis xx (d) the moment of the inertia about xx axis the maximum tensile bending stress the maximum shear stress 25mm 400mm y 50mm 400mm d 25mm

b) Using the data given in Table Q2, determine the best estimate of the work done by stretching a spring that has a spring constant of k 300 Nm to x 0.35 m. Table Q2 Displacement and force data Displacement (m) Force (103 N) 0 0.05 0 0.01 0.10 0.20 0.15 0.028 0.046 0.063 0.082 0.25 0.30 0.35 0.11 0.13 2 ma

1674. The epicyclic gear train consists of the sun gear A which is in mesh with the planet gear B. This gear has an inner hub C which is fixed to B and in mesh with the fixed ring gear R. If the connecting link DE pinned to B and C is rotating at DE 18 rads about the pin at E, determine the angular velocities of the planet and sun gears. 100 mm

A weight A with mass m 1 slug is attached to the free end of a nonlinear spring such that the acceleration of A is a g (vm) (y Lo) where g is the acceleration due to gravity, y is a constant, and Lo 18 in. m Determine such that A does not fall below y 2.5 ft when released from rest at y Lo.

4. A beam is subject to a uniform load. Figure out the shear force and bending moment at location 8 inch. (20 pts) q 50 lbfin 8in 24in

A continuous cable (diameter 6 mm) with tension force T is attached to a horizontal frame member at B and C to support a sign structure. The cable passes over a small frictionless pulley at D. The cable is made of a copper alloy, and the stressstrain relationship for the cable is 124,000 () 0 0.03 (o in MPa) 1 300 a. Construct the stressstrain

For the indeterminate loading shown, what is the reaction force of the left wall acting on the bar in units of N Please assume this reaction force from the wall acting on the bar is pulling to the left. k1284 kNmm, k2148 kNmm, and F4 kN Zk

The inner and outer surfaces of a 30 cm thick wall in summer are 27C and 44C respectively. The outer surface of the wall exchanges heat by convection with ambient air which is at 40C with a convection heat transfer coefficient of 12 Wm.C. Solar radiation is incident on the surface at a flux rate of S Wm. The wall has a thermal conductivity of 1.5

Problem 6 A motor pulls a cable through a pulley system to raise the weight. The weight that is attached to pulley B starts from rest. A point on the cable at A moves with constant acceleration. Pulley C moves with a constant acceleration of 15 mms. At t 2 s, the velocity of B is 20 mms and the velocity of C is 30 mms. Determine the accelerations

310. A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gage length of 2.00 in. The data is listed in the table. Plot the stressstrain diagram and determine approximately the modulus of elasticity, the yield stress, the ultimate stress, and the fracture stress. In order to see the plot clearly, plot it on

3 For the following beam P 175 kN a calculate the values of and t in the plane of A, B and L. b and the draw the Mohrs circle. (25 points) 0 40 72 8 cm 16 cm

The block B is suspended from a single inextensible cable that is attached to the block at E, wraps around three pulleys, and is tied to the back of a truck. The truck starts from rest when L is zero, and moves forward with a constant acceleration (to the right) of 0.5 ms When L 0, points C and D are at the same elevation, and the vertical

1. The 28 cm long link BC has a rectangular crosssection 25 mm x 6 mm. It is made of a material with an elastic modulus of 120 GPa and an allowable normal stress of 80 MPa and is attached to member ABD at point B. Determine the maximum P value that can be supported by link BC without exceeding the maximum allowable stress, and ensuring the change

Q2) A pistoncylinder device contains 0.05 m of a gas initially at 200 kPa. At this state, a linear spring that has a spring constant of k180 kNm is touching the piston but exerting no force on it. Now heat is transferred to the gas, causing the piston to rise and to compress the spring until the volume inside the cylinder becomes 0.15 m. If the

2. Determine the force in the central portion of link AC 12 in. 120 lb 4 in. 30 2 in. 120 lb 8 10 in. 8 in.

1 Calculate the moment of inertia of the system shown below about the line OF. The mass of the body is 100n. n question number. Write the solution step by step. Make sure to present your solutions clearly and legibly. (Example If question number is 2, n 2) n m 0.5n m F B 2n m

The bar has a crosssectional area of 320(106) m. It is subjected to a uniform axial distributed loading along its length and to two concentrated loads, as shown. Part A w8 kNm 6 kN 3 kN 0.75 m 0.5 m Determine the average normal stress in the bar as a function of a for 0 m x 0.5 m. Express your answer as an expression in terms of the variable and

3. Draw free body diagrams (u is a force) and write equations of motion for x and x2 below X1 x2 k1 b k2 k3 www m1 www m2 b2

Problem 1 The Figure below shows the powertrain system for a rear wheel drive car. Through the accelerator pedal, the driver controls the engine to have the required car desired speed. Note that the can body is not drawn in the Figure below but you need to take it in consideration in solving this problem. Sketch the system functional block

What are the possible values of I if n = 3? A) -3, -2, -1, 0, +1, +2, or +3 B) 0, 1, 2, or 3 OC) 0, 1, or 2 OD) -3, 0, or +3 [

1 Refrigerant 134a enters the evaporator of a refrigeration system as a saturated liquid-vapor mixture at 140 kPa. The refrigerant absorbs 180 kJ of heat from the refrigerated space,which is maintained at -10C, and leaves as a saturated vapor at the same pressure. Determine (a) the entropy change of the refrigerant, (b) the entropy change of the

A fluid is one which can be defined as a substance that: ( A ) has that same shear stress at all points ( B ) can deform indefinitely under the action of the smallest shear force ( C ) has the small shear stress in all directions ( D ) is practically incompressible

The metal stud punch is subjected to a force of 1 8 0 N on the handle. Determine the magnitude of the resultant internal normal force acting on the cross section of the short link B C . Determine the magnitude of the resultant internal shear force acting on the cross section of the short link B C . Determine the magnitude of the resultant internal

Problem 3 The wire A B is un - stretched when = 4 5 . After a load is applied to the bar A C , which causes to becomes 4 8 . 5 0 Determine the normal strain in the wire. Hint: plot before & after will help ( ) :

2 5 W m C for the external plaster 5 5 W m C for the wood panel 8 0 W m C for the concrete It is known that the convection coernic and for the interior surface is = 8 W m 2 @ C and for the exterior surface is = 2 5 W m the The room temperature is 2 4 C and the outside temperature - 1 5 C . Find the thickness of insulation, L , having = 0 . 0 5 5 W