Mechanical Engineering Questions and Answers August 28, 2018

3. Consider the figure below determine c. Reactions at points A d. Moment at point A 20kN 10kNm 30kNm b 5.0m 3.0m 5.0m 100KN Dangal no Bauan 1Page

Q3. The electrical resistance R of a piece of wire of length L and diameter d is given by 4pL R If p 44.2102m, L (527.30.1) cm, and d (0.6200.010) mm, calculate R to three significant figures and estimate the error in your result. 50 Marks

1. Draw the figure and determine the resultant force of the following set of forces F 50 N East F2 54 N 50 North of East F3 10 N North F442 N 40 North of West F5 54 N 50 South of West F6 10 N South F7 42 N 40 South of East

2. Consider the figure below determine a. Reactions at points A and B b. Moment at point A A 5.0m jokN 5.0m 8.0m TEKN 25kN 20KN 30KN 5.0m 2.0m B

4. The carbon fibers are 8m in diameter and are coated with a 1m thick epoxy layer. As shown below, these coated carbon fibers are packed with half as many 13m diameter glass fibers (no coatings) in an epoxy matrix. Assume there is no voids, calculate the longitudinal modulus E, that can be achieved if Ef (glass) 72.5GPa, Ey (carbon) 235GPa,

1. Consider an inlet valve mechanism that is used to fill a water reservoir. The valve works such that the water filling rate is a function of the gap between the actual water height (h) and the target water height (h). The valve is produced to provide an inflow that will close the 10 of the gap between h and h per hour. Additionally, there is a

1. For the RRP serial robot in the figure 5 d3 a a2 02 Figure 1 RRP Robot. (a) Solve the forward displacement analysis (b) Sketch another solution to the reverse displacement analysis. Hide image transcript 1. For the RRP serial robot in the figure Figure 1 RRP Robot. (a) Solve the forward displacement analysis (b) Sketch another solution to the

For the plain strain element shown in Figure 1 determine the following a. the element stresses Ox, Oy, Txy, 01, 02 b. Determine the principal angle Op v2 0.0025 cm v3 0.0 cm u 0.001 cm u 0.001 cm V 0.005 cm u3 0.0 cm V3 (2.5) 30 5 m A (2) (4) 4 cm (2,1) (4,1) Figure 2 Let E 210 GPa and v 0.25, and use unit thickness for plane strain. i

Maximum power from a radio transmitter is delivered to the load when the load impedance is equal to 50 ohms. Assume that when it is connected to a 50 ohm load, the transmitter delivers 100 watts. Imagine that the transmitter is connected to a 50 ohm load through a cable that is 100 ft long. The cable has a characteristic impedance of 50 ohms and a

For the following circuit assume V 1.5V, R 10k, and R R3 6kN VA Ra (a) Find R such that Vx 2.5V assuming an ideal Op Amp and V 1V, and Vc 3V 48k, and VB VC OV For the following questions assume R 15 pts (b) Find Vx if the Op Amp has an Offset Voltage 15mV assuming an ideal Op Amp otherwise. 15 pts (c) Find the closed loop transfer

Average Force at 0.7VT Calculate V 1.3stall and SL below using CLmax 2.5 because CLmax not limited due to flap extension. 1.69 W S 9PSC Lmax DHR (WL) avg Liftoff and Touchdown Speeds V LO 1.2V Stall V1.3V Stall,1 NM 1 SM 6,076 ft 5,280 ft 1 NMhr 1 knot 1 lb 1 slug ftsec R F 460 R 0.02 for takeoff 1 gal jet fuel 6.7 lb 1 HP 550 (ftlb)sec g

Consider the mechanical system shown in the figure that includes two identical bars connected by a spring of spring constant k. Each bar has a length L and mass m. The motions of the masses are described by the following system of two secondorder differential equations 3g 2L 3g 2L k sin 03cos 0 (sin 0 sin 0) m k sin 02 3cos 02 (sin 02 sin 0)

We will consider Example 3.5 in MLS (inverse kinematics of the elbow manipulator). Assume l0 l l 1. And the desired pose of the endeffector is 0.5 Rz (0.2 rad) R (0.4 rad) 1.2 Id Find all the inverse kinematics solutions. You will need to write a Matlab script with Matlab functions for each subproblem.

w(xit) b) (x7) EI L Consider a beam as shown with a fixed left end and a free right end. The product El 1 GPa mm4 and the density of the beam per unit length is 100 kgm. The beams length is 10 m. 1. Using one element for the entire beam, calculate the resonance frequencies and mode shapes by hand using modal analysis and a mass matrix that takes

Problem 3 Find the equations of motion for the forced elastic pendulum shown below (force f(t) is perpendicular to gravitational field as in the figure assume small angles and vibrations) K C f(t) M

Problem 2 Use Lagrangian method and find the equations of motion for the following 3DOF system (t) 2(t) x3(t) C1 C2 C3 C4 M M2 M ww ww ww K2 K3 (0 f(t) C5 ww K5

ww A 40 lb unform rod AC of length l 2 ft is attached to a spring of constant k 5 lbin at a distance of a 1.5 ft from a pin a C. (a) If the rod were rotated by a small angle 0 about the vertical position, determine the time period of the resulting oscillations (b) If a force of 2 sin(10t) (lb) () were applied at A, determine amplitude of the

825. The crate has a weight of W 150 lb, and the coefficients of static and kinetic friction are , 0.3 and k 0.2, respectively. Determine the friction force on the floor if 30 and P200 lb. 826. The crate has a weight of W 350 lb, and the coefficients of static and kinetic friction are , 0.3 and k 0.2, respectively. Determine the friction

The next four questions all relate to the graph Relative Permeability 1.0 0.5 Swi Sor Kro B Krw Sw 0.5 4. What is the residual oil saturation E 1.0 5. What is the relative permeability of water at the residual oil saturation 6. What is the oil relative permeability at water saturation of 50 7. Is this system oil wet or water wet

1. What kind of system (water wet or oil wet) is characterized by the following three things a. Limited oil production after water breakthrough b. Good recoveries c. Low Krw at residual oil saturation mmm 2. A relative permeability lab test in which only water or only oil is injected is likely a. Unsteady state b. Steady state

Q1. Ten measurements of the period of a simple pendulum were as follows 2.13 s, 2.07 s, 2.24 s, 2.20 s, 2.08 s, 2.11 s, 2.15 s, 2.19 s, 2.22 s, 2.16 s (1) Calculate the mean period range n (2) Calculate the random error on the period using the formula error i (3) Calculate the standard deviation (SD) of the measurement results, and the standard SD

2. Design a single stage CMOS circuit that implements the following function OUT A B. (CDE) 3. Size all the transistors in the circuit in problem 2 such that TR 3 TF. The minimum geometry is W.

5. (5 pts) Briefly explain, from a thermal perspective why there is an optimal spacing between the inner and outer glass panes in doublepaned windows. 6. (5 pts) Consider a double pane window being designed for an extreme climate, for which there would be a greater temperature difference between the inner and outer glass panes than in typical

2. The beam in Figure 2 is built in at A and loaded by a force P and a concentrated moment Mo at the end B. Find the relation that must hold between Mo and P in order that the slope of the beam should be zero at B. PP BY Mo Figure 2 Use your solution to determine the maximum bending moment for the problem of Figure 3, where a beam of length I, is

Consider the following mechanical system X3 m1 2 kg m2 4 kg F k1 k k3 m3 3 kg m m12 m3 k 3 Nm k 2 Nm k3 1 Nm The goal of this assignment is to observe responses for different initial conditions. 1. Find the equations of motion for the given system and represent them in a matrixvector form. Clearly identify mass and stiffness matrices. 2.

8.56 Consider a simply supported uniform beam resting on an elastic foundation, with a foundation modulus k Nm. a. b. Derive the equation of motion of the beam when the applied distributed load is p per unit length. Find the natural frequencies of vibration of the beam.

3 (15 points). Given the cash flow diagram below, determine the unknown value using an interest rate of 12. 600 600 400 400 200 200 A 5 Solution A600(PA, 12, 3) 200(PG, 12, 3)200 (PG, 12, 4)(PF, 12, 3) (AP, 12, 7) 600(2.402) 200(2.221)200(4.127) (0.7118)(0.2191) 1584.52(0.2191) 347.17

Problem 1) Find the reaction forces at the Pin and Roller 2kips 2KPS 21P 2 Kip.kt Ft Q 2Kips Ft 1 Ft, 1FB, Yeb 4 Ft 712 2 Ft 1 2 It

6. A solid cylinder made of aluminum has an initial height ho 100mm and initial diameter do50mm. It is subjected to a hydrostatic pressure po. The bottom face is fixed and the lateral face is unconstrained. Given that E 70GPa and v 0.34 (a) Determine po to cause a volumetric change of 0.005. (b) Calculate Ah and Ad (c) If the linear coefficient

1. What is the basic of aircraft structure 2. What are the different types of aircraft structure repair

1. Solve the following heat equation subject to the given conditions. a) u(0,t)10 ux(2,t)5 b) ux(0,t)5 ux(10,t)5 Ju x2 It u(x,0)10 u(x,0)455x c) ux(0,t)2 u(6,t)12 u(x,0)0 d) u(0,t)1 u(1,t)2 u(x,0)0

lim N o 3 (xN)6m i1 (x,)N 6 (1310),131. The following wind measurements by bin are given for a proposed wind turbine location. Assume the air has a density of 1.15 kgm. Wind Speed (ms) Bin Minimum Maximum Hoursyear 1 0.0 0.0 80 23 0.0 1.0 200 1.0 2.0 501 9 4567 88 2.0 3.1 850 3.1 4.1 1300 4.1 5.2 1407 5.2 6.2 1351 6.2 7.2 990 7.2 8.2 641 10 8.2

1. Tooth dimension accuracy can be measured with the David Brown tangent comparator, shown in (a), which is a special caliper measuring the length of common normals, simply illustrated in (b). Prove, the lengths of the common normals between any two opposite involutes are equal, or LM LM2 (You may mark the points at which the normals are tangent

2. Solve the following heat equation subject to the given conditions. Ju It u(0,t)0 ux(1,t)u(1, t) u(x,0)1 In addition to the series solution, also provide the numerical values of the first 2 eigenvalues.

FConsider a cylindrical manipulator. It has three joints and each joint is actuated by a DC motor. For simplicity, it is assumed that the gear ratios are all one for joints and for the prismatic joint q is equal to the rotation angle of its motor. d2 Z1 d3 Z2 Zo The ST Robotics R19 cylindrical robot (left) and the symbolic representation showing a

The figure below is a schematic illustration of a building elevator shaftelevator. Assume that the elevator ascends with a constant velocity V Velev. The elevator weight when full is W. Assume the elevator shaft is a square cross section of dimensions wxw. Assume that the elevator has a height dimension, h. Also assume that the elevator shaft is

A steel bar that has a rectangular crosssection of 0.4 inches by 0.5 inches. The bar is 3 inches long and subjected to a load of 45000 lbf that is parallel to its length. What is the resulting strain to four decimal places

A metal ring has an outer radius of 5.4 inches and an inner radius of 2.8 inches. When the ring is rotating at 249 rpm, the maximum tangential stress is 15945 psi. If the speed is increased to 437 rpm, what is the maximum radial stress in psi to the nearest integer

The electric car market is rapidly evolving, with new models and features being introduced every year. As an engineer, explain how the concept of product life cycle applies to the electric car industry, and discuss the strategies that companies can use to stay competitive and meet the evolving needs of consumers. Provide examples of how these

A combustion gas mixture of oxygen and hydrogen at 3466 K and 10.34 MPa (1500 psi) has the composition shown in the table below. The figure below shows that expanding these gases to an exit pressure of 0.1 MPa, results in a specific impulse of 420 s with shifting equilibrium. If the mixture composition had been frozen throughout the expansion,

An action-movie hero (95.0 kg) steps off a 8.0 m high balcony, swinging on a rope tied to an overhead beam, to scoop up the action-movie heroine (54.0 kg) from the floor below thus evading some unspeakable danger. How high above the floor do they ascend together after their "collision?"

A part is loaded such that the stresses at a point are given by 17 ksi y T 10 ksi xy What is the minimum principal stress, 3, for this stress state in ksi to one decimal place 4.6 Given Answer Correct Answer 4.6 0.1

d) Transverse loading 2 (3points) P,1. Sketch stress distribution in the crosssections (defined by the dashedlines) for the following loading cases. If there are both normal and shear stresses, sketch them separately. Also indicate the subscripts for each stress component you sketch, according to the given coordinate system. a) Uniaxial (2pts) P

In the era of globalization and fastpaced technological advancements, engineering projects are becoming increasingly complex and require effective project management. As an engineer, explain the key factors that make project management crucial for the success of engineering projects. Discuss these factors in detail, and provide examples of how

Question 4 The boom is supported by a cable and pin as shown. Neglect the size of the pulley at D. Find the reactions at C and the tension in the cable if and W2 50 kN. W1 35 kN D A W 1.2 m 0.3 m B W2 1.5 m c 2.0 m T

A 43 inch long steel shaft is subjected to a torsional load of 1549 inlbf. If the shaft has a radius of 0.4 inches, what is the estimated angle of twist to two decimal places in radians Given Answer 0.15 Correct Answer 0.15 0.01

2. Shear stress distribution along thin walled structures (4pts). The transversal shear force on each cross section is V. The coordinate system is indicated at the right of the following figure. For each of the following two crosssections in orange color, a) Sketch the shear stress distribution along the thinwall directions (stress is also in wall

T T T,5)The following two pictures correspond to the failure surfaces of two different types of materials under pure torsion test. Please tell what type of material corresponds to each picture, and explain why (i.e. what kind of failure criterion is evoked) (3pts)

6) A natural wooden beam in your basement is placed horizontally. It is under transverse load in vertical direction. Why sometimes there may appear a horizontally running crack in the wood beam as shown in the figure right (1pt)

A surface has an absorptivity of 1 0.1 for wavelengths below 1.4 nm, and an absorptivity of 9206 for all other wavelengths. What is the effective absorptivity of the surface for solar radiation a) deff 0 17 0 25 b) deff 0 49 c) deff d) deff 0 59

1. For each of following closed loop systems (i.e. analyze the G(s) as is), determine the stabilityinstability by examining the polynomial coefficients. If this is insufficient to determine stability apply the designated criterion to determine if the system is stable and if necessary over what range of K. G(s) G(s) S10 4 10s 10s 20ss1 85 s10s

14.103 The rod OA carrying the sliding collar of mass m is rotating about the vertical axis OB with the constant angular velocity w 10 rads when the string holding the collar in the position shown suddenly breaks. Determine the radial and transverse velocity components of the slider when it reaches the end of the guide rod at A. Neglect friction

1) Sketch VM diagrams (15pts) Sketch V and M diagrams for the bean shown right. y 100N (pay attention to the direction of the distributed load) 50N A 100Nm 2m Im x C

Calculate forces in members DC and DE for the truss shown in the figure. Hint Use method of joints. Assume F 2 60 kN, F 100 KN and L 2.1 m. L(m) F F 4 m 4 m F B E F 4 m A. SDC 60.5 kN (T), SDE 104.9 kN (C) B. SDC 63.5 kN (T), SDE 108.9 kN (C) C. SDC 45.5 kN (T), SDE 96.9 kN (C) D. SDC 52.5 kN (T), SDE 112.9 kN (C)

Steam at 400 F (247 psia) has an enthalpy of 933.65 Btulb. Given h x (hg) (1 x) hf Steam tables httpswww.efunda.commaterialswatersteamtablesat.cfm B What is the steam quality O 82.3 O 76.1 67.6 O 47.4

Conside the ThreeLink Cylindrical Manipulator shown in the figure below along with its DH convention table and Forward Kinematic solution. Using the Forward Kinematic solution, derive the Jacobian J, the vector and use them to determine, the body velocity vector. Be careful identifying the joint variables q. 11 Yo ID Link a di d 8 0 d 8, 2 0 90 d

Design a p&id of a liquid liquid extraction column with control measures in autocad Use the information: Column is being used to separate phosphorous acid (desired) from phosphorous acid, using countercurrent extraction and butanol as a solvent Level control: The level of the liquid in the column should be continuously monitored and controlled to

A part is loaded such that the three pincipal stresses are 33 ksi, 5 ksi, and 37 ksi. What is the octahedral shear stress in ksi at this same location to one decimal place Given Answer 16.8 Correct Answer 16.8 0.2

A t2 1 B Li L2 t 5 mm t2 4 mm t3 3 mm Li 100 mm L2 150 mm h 120 mm G 30 GPa A 5m long tube with doublecell cross section shown above is subjected to torque 7200 Nm. The tube is fixed at one end and free at the other end. Determine the shear stress at Points A, B, C above and the angle of twist at the free end.,Example Double Cell 91 92 h

1. Figure Q1 shows a guided mass m which is connected to a rigid wall by a spring of stiffness k and a viscous damper of rate C. A pendulum of mass m and length l is suspended from the guided mass. Without any external force applied to m, both centres of mass lie on the dashed equilibrium line shown. When an external force F is applied to m1, it

In the voltage divider circuit shown, determine the value of the voltage labelled Vout I 4 470 Vin 7.5 V 120 Vout 0.66 V 5.97 V 36.9 V 2.57 V 1.53 V

A 22 inch long steel shaft transmits a torque of 101 ftbf at a speed of 4874 rpm. What is the power to the nearest integer transmitted by this shaft in hp Given Answer 94 Correct Answer 941

What would be the typical landing angle for an aircraft during a hard landing. Secondly what would be the angle of the flaps during landing. I desire to use XLFR to determine the lift coefficient of the aircraft as it lands, what would the other parameters required and what would the typical values will be during hard landing. Please provide

Problem 2. (25points) write the following vectorcalculus forms into Tensor Notation form using the Kronecker delta and permutation symbol Underbars indicate vector V(V AXB) (1) (V). (V) (2)

For the existing system, what is the electrical input power drawn for the four high-demand months (power of 100kW delivered to the air) and the eight low-demand months (power of 25kW delivered to the air)? Show your calculations and round off to 1 decimal place

A solid steel cylinder is enclosed by a hollow copper cylinder both cylinders are 240mm long at 20C. The crosssectional area of the steel is 20 cm and the copper is 60 cm. A load of 160 kN is applied to the composite column by means of rigid cover plates. Calculate at what temperature the steel will carry the full load. Est200 GPa Ecu 80 GPa a st

14.23 The diagram shows the relationship between the force Fand deformation x for an energyabsorbing car bumper. Determine the maximum deformation of the bumper if a 2400lb car hits a rigid wall at a speed of (a) 3 mih and (b) 5 mih.

2. Determine the stability of the open (i.e. H(s)0) and closed loop systems if G H G(s) 52 3s32ss1 H(s)K5

Silicon (Si) is to be doped with Boron (B) such that the extrinsic semiconductor has a room temperature electrical conductivity of 0.08 (2m)1. To achieve this, B atoms are diffused into a pure crystalline Si wafer using a heat treatment conducted at 900C for 286.5 hours. The surface concentration of B is to be maintained at a constant level of

2) Transverse shear(10pts). The beam is slit longitudinally along both sides. The crosssection shown is subjected to an internal shear force V300kN. Determine the shear stress by the seam at the junction of top and middle pieces (junction A). If the two slits are welded, will the shear stress at A be bigger or smaller 100 mm 25 mm 25 mm 200 mm 25

Design the tank of an air compressor which is to hold pressure of 1MPa. The inner diameter of the tank is 50cm, and we assume the wall thickness is much smaller. The wall material has the critical shear strength for yielding Ty 200MPa. Applying Tesca yield criterion, using safety factor 3, determine the minimum requirement on wall thickness.

7. List three advantages when using radiography as a nondestructive testing method. (3 marks) 8. List three limitations when using radiography as a nondestructive test method. (3 marks) 9. What are the three basic ways to lower your dose rate if you are working around a radiation source (3 marks) 10. What material is used in radiographic film to

4. Column(10pts). What will be the two possible failure modes of the aluminum (alloy) column shown right The column is fixed at its bottom and is braced by cables so as to prevent movement at the top along the xaxis. Determine the largest allowable load P that can be applied, using factor of safety F.S.3. After calculation, what will be the most

5 (10 pts). Using the MATLAB function ode45 compute numerically the responses of the following system of two coupled oscillators, for m 0.2Kg, k500. c 4 Kgs, force (in N) as shown below, and zero initial conditions. N . m x(1) Then, (i) Plot x(t) and x2(t) versus time f (ii) Plot x(t) versus x2(t) (iii) Plot 2(t) versus x2(t) No friction X(1)

The beam is fixed at A and pin connected to a rod at B. The crosssection area of the rod BC is 0.2in. Youngs modulus is E50(103) ksi for both the rod and the beam. The moment of inertia I400in for the beam AB. a) Use special function to express the load between two ends. b) Integrate to get expressions for V, M, 0, y. c) List boundary conditions.

The pressure in a container is 52 kPa. If this pressure is measured using a manometer (Utube) with one end exposed to atmospheric pressure (101.325 kPa), and is filled with a substance having density 3100 kgm, What is the difference in the column heights (in meters).

Create an assembly program to keep track of elapsing minutes with a timercounter, ie, design a watch that only has a minutehand. (Hint Instead of attempting to configure the period of the timercounter to directly correspond to sixty seconds, configure the period to correspond to one second, and then keep track of how many times this timer counter

1. Given G(s) 250 s50.5s25 where s jo a) Plot the Bode diagram of the magnitude as a function of the frequency. (4 pts.) b) Clearly indicate the value of the frequency, if any, where the magnitude graph crosses the frequency axis. c) Plot the phase angle as a function of frequency. Given G(sjo) 100(1jo) (10 jo 100 jo) a) Plot the Bode diagrams

38) Design a roller chain drive. Specify the chain size, the sizes and number of teeth in the sprockets, the number of chain pitches, and the center distance. Provide your calculations and a CAD drawing (Simplified) here and answer the following questions pertaining to the following information Nominal Input Input power output Problem number

A rotational system having a four (4) masses m1200 kg, m2300 kg, m3240 kg, and m4260 kg, each mass situated at a radius r10.2 m, r20.15 m, r30.25 m, and r40.3 m and angle between successive masses are 010, 0245, 0375, 04135. If the radius of rotation is 0.2 m, Determine, 3.1. The sum of the horizontal couple 3.2. The sum of the vertical couple

(15 pts) During the beer brewing process, wort solution in a pot is cooled with a submerged stainless steel tube coil that has cold water flowing on the inside. Assume the tube has inner diameter D 10 mm, outer diameter Do 12 mm, length L 10 m, and thermal conductivity k 15 W m K. The inside of the tube is cooled with a high flow rate of water

1. Determine the moment of the 10lb force about, a. end A and b. end B of the beam. State whether the moment is clockwise (CW) or counterclockwise (CCW). (30 points) A 10 lb 4 ft 8 ft B

You were then asked to discuss the operational aspects of hydraulic machines. Discuss, with the aid of diagrams c) Turbines Pelton wheel, Kaplan turbine, Francis wheel. d) Pumps centrifugal, reciprocating.

The length of the vertical pull rod is h and the cross section is a circle with a radius of r r(x). The density of the rod is p. The shape of the rod is such that the normal stress along the entire length of the rod is constant o when the selfweight of the rod is taken into account. A point force acts at the lower end of the rod G A where A. is

4. Oil Bearing Consider the oil bearing in the following diagram. Oil ( 0.08 Pas, p 850 kgm) is at a high pressure inside the circular cross section channel inside the load block. Due to the higher pressure, the oil is squeezed out of the circular cross section reservoir and under the load block where it forms a gap between the load block and

For the simply supported beam given below, use Castiglianos 2 Theorem to calculate the slope at D and displacements at E and C. With Virtual Work find the displacement at B and slope at E. Note the different I values along the member length A I B 15 kips 2.9 kipsft D 31 E 41 C 21 12 ft 8 ft 9 ft 11ft 40 ft

Molten metal can be poured into the pouring cup of a sand mold at a steady rate of 1000 cms. The molten metal overflows the pouring cup and flows into the downsprue. The crosssection of the sprue is round, with a diameter at the top 3.4 cm. If the sprue is 25 cm long, determine the proper diameter at its base so as to maintain the same volume

Figure 3 shows a cantilevered beam (ABC) with modulus E and moment of inertia I. A distributed load of wo spans 13rd of its length. The beam is simply supported at point B. Use Castiglianos theorem to determine the reactions at A and B. You can neglect the shear energy due to bending. A 0.5L 1.5L 0.25L Wo E,I B C

For the following simply supported beam a) Determine equations for V(x) and M(x) for sections 0 x 14 and 14 x20. Box your answers. b) Roughly sketch the shear and bending moment diagram for the beam. c) Determine the maximum bending moment (magnitude), Mmat and where it occurs, Xmax Box your answers. 300 lbft B 2450 lb 14 ft 6 ft

Temperature (C) 11. Below is shown the ledtin (PbSn) phase diagram. 300 327C 200 100 18.3 aL Liquid 232C 183C BL 61.9 97.8 aB 20 40 60 80 10 (Pb) Composition (wt Sn) (Sn) For an alloy composition 85wt Sn 15wt Pb, determine the following a) The weight fractions of the and phases at 150C b) The weight fraction of primary and the eutectic

2.2 Simulation based on nonlinear model of the plant You may do simulation either in Simulink (Figure 2 and Figure 3) or in MATLAB code, or Python if you wish. 1. Build a model of the nonlinear cartpendulum plant together with the control system. An example Simulink block is shown below. disturbance Cart Fandum Figure 2 Linear controller 2,alpha

Calculate the moment about point A shown in Figure.

y Z N 30 15 kNm A B 1.4 kN 1.2 m 1.8 m 1.8 m 3 kN x C

Determine the moment of inertia about the x-axis of the area shown in Figures.

R20 mm C 15 mm x x

At the instant60, link CD has an angular velocity WCD 4 rads and an angular acceleration QCD 3 rads. The collar at C is pin connected to DC and slides over B as shown in (Figure 1). Part A Determine the magnitude of the angular velocity of rod AB at this instant. Express your answer in radians per second to three significant figures. Figure 2 ft

The car C and its contents have a weight of 620 lb, whereas block B has a weight of 290 lb. The car is released from rest. (Figure 1) Part A Determine the cars speed when it travels 30 ft down the 20 incline. Suggestion To measure the gravitational potential energy, establish separate datums at the initial elevations of B and C. Express your

Two cylinders A and B, having a weight of 8.5 lb and 6 lb. respectively, are attached to the ends of a cord which passes over a 3lb pulley (disk). The cylinders are released from rest. The cord does not slip on the pulley. Neglect the mass of the cord. Suggestion Analyze the system consisting of both the cylinders and the pulley. (Figure 1) Part A

Part A The rocket is traveling in a free flight along an elliptical trajectory AA as shown in (Figure 1). Take r 6 Mm. T 100 Mm, and rp 70 Mm. The planet has no atmosphere, and its mass is 0.9 times that of the earth. The rocket has the orbit shown. Determine the rockets velocity when it is at point A. Express your answer to three significant

When 0 23 rad. the angular velocity and angular Part A acceleration of the circular plate are 1.3 rads and Determine the magnitude of the velocity of the rod AB at this instant. 3.5 rads, respectively. (Figure 1) Express your answer to three significant figures and include the appropriate units. Figure 1 of 1 B T (10500) mm v Value Units Part B

R134a flows through a diffuser. The inlet velocity is 121 ms. Its pressure is 600kPa and the T50C. If the mass flow rate has to be 1.02kgs, what is the area of the diffuser inlet (cm)

A garden hose with an internal diameter of 1.3 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 27 holes, each 0.12 cm in diameter. If the water in the hose has a speed of 0.91 ms, at what speed does it leave the sprinkler holes Number i 38.2 Units ms