Determine the location (x, ) of the centroid of the sheet metal cross section. Neglect the thickness of the material and slight bends at the corners. y 2 in. 8 in. -3 in.3 in. X

Reconsider Prob. 253. Assuming a linear pressure increase during the compression, estimate the energy needed to compress the water isothermally. Data from Problem 53. A frictionless piston-cylinder...

Large central power stations (about 1000 MW electrical) using fluidized bed combustors may be built some day (see Fig. P1.2). These giants would be fed 240 tons of coal/hr (90% C, 10% H,), 50% of...

In the toggle mechanism, shown in Fig.2.59, crank \(O_{1} A\) rotates at \(30 \mathrm{rpm}\) clockwise. \(O_{1} A=40 \mathrm{~mm}\), \(A B=140 \mathrm{~mm}, B C=100 \mathrm{~mm}, B D=80...

Find a real physical example of a mechanical structure or machine that has tensile stress present. (a) Make a clear, labeled drawing of the situation. (b) Estimate the dimensions of the structure or...

The currents i 1 , i 2 , and i 3 in the circuit shown in Figure P12 are described by the following equation set if all the resistances are equal to R. Here 1 and 2 are applied voltages; the other...

The pliers are used to grip the tube at B. If a force of 20 lb is applied to the handles,determine the internal shear force and moment at point C. Assume the jaws of the pliers exert only normal...

Select a mechanical component from Part 3 of this book (roller bearings, springs, etc.), go to your universitys library or the appropriate internet website, and, using the Thomas Register of American...

An article in Industrial Quality Control (1956, pp. 5-8) describes an experiment to investigate the effect of the type of glass and the type of phosphor on the brightness of a television tube. The...

An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized experiment were run. The results are shown in the...

An experiment was conducted on a chemical process that produces a polymer. The four factors studied were temperature (A), catalyst concentration (B), time (C), and pressure (D). Two responses,...

Harry and Judy Peterson-Nedry (two friends of the author) own a vineyard and winery in Newberg, Oregon. They grow several varieties of grapes and manufacture wine. Harry and Judy have used factorial...

An Otto cycle with a compression ratio of 8 begins its compression at 94 kPa and 10C. The maximum cycle temperature is 900C. Utilizing air-standard assumptions, determine the thermal efficiency of...

A balloon initially contains 40 m 3 of helium gas at atmospheric conditions of 100 kPa and 17C. The balloon is connected by a valve to a large reservoir that supplies helium gas at 125 kPa and 25C....

Find the transfer function, X 3 (s)/F(s), for each system shown in Figure P2.14. 13() fv = 4 N-s/mp K= 5 N/m fv = 4N-s/m f()- M, = 4 kg0000 M2 = 4 kg fvz = 4 N-s/m fv=4 N-s/m (a) X(1) Frictionless 1...

Find the transfer function, G(s) = V o (s)/V i (s), for each operational amplifier circuit shown in Figure P2.7. 100 kQ 2 F 500 k2 2 F 100 k2 100 k2 2 F (1)'a 100 k2 2 uF (b)

A minivan starts from rest on the road whose constant radius of curvature is 40 m and whose bank angle is 10. The motion occurs in a horizontal plane. If the constant forward acceleration of the...

A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 4 ft/sec 2 , determine the values of r, r, r, , , and when t = 1.05...

The 50-kg crate is stationary when the force P is applied. Determine the resulting acceleration of the crate if (a) P = 0, (b) P = 150 N, and (c) P = 300 N. s = 0.20 %3D Hk = 0.15 50 kg P 15

The two spheres, each of mass m, are connected by the spring and hinged bars of negligible mass. The spheres are free to slide in the smooth guide up the incline . Determine the acceleration a C of...

U.S. airlines average about 1.6 fatalities per month. (Statistical Abstract of the United States: 2010.) Assume the probability distribution for Y, the number of fatalities per month, can be...

Two pulleys are fastened together to form an integral unit. At a certain instant, the indicated belt tensions act on the unit and the unit is turning counterclockwise. Determine the angular...

Given the system shown in Figure P9.10, find the values of K and K f so that the closed-loop dominant poles will have a damping ratio of 0.5 and the underdamped poles of the minor loop will have a...

Design the values of K 1 and K 2 in the system of Figure P7.15 to meet the following specifications: Steady-state error component due to a unit step disturbance is -0.00001; steady-state error...

Determine V D and V GS for the fixed-bias configuration of Fig. 7.79. 20 V 18 V 2 k2 2,2 k2 VD OVD Ipss = 5 mA Vp = -5 V Ipss Vp = -4 V = 8 mA 1 M2 2 4 V FIG. 7.78 FIG. 7.79

Determine the stretch of each spring for equilibrium of the 20-kg cylinder. D A KAD=400 N/m B KAB = 300 N/m KAC = 200 N/m -3 m- 4 m 3 m

The 100-lb door has its center of gravity at G. Determine the components of reaction at hinges A and B if hinge B resists only forces in the x and y directions and A resists forces in the x, y, z...

The exercise machine consists of a rigid bar pin connected to the frame at A. As the woman pushes up on the bar it stretches the rubber band BC. If the stiffness of the rubber band is k = 500 lb/ft,...

The cantilevered jib crane is used to support the load of 780 lb. If the trolley T can be placed anywhere between 1.5 ft < x < 7.5 ft determine the maximum magnitude of reaction at the supports A and...

Determine the force in each member of the truss and state if the member is in tension or compression. Set P = kN. A -3 m 3 kN D B 6 kN -3 m C 2 m 2 m

Determine the shear force and moment acting at point C of the beam. For the calculation use Simpsons rule to evaluate the integrals. W 2 kip/ft ' W = 1/2 (2x +x + 4) 2 ft C 2 ft 11.58 kip/ft B X

Determine the moment of inertia of the thin plate about an axis perpendicular to the page and passing through the pin at O. The plate has a hole in its center. Its thickness is 50 mm, and the...

The two segments of the girder are pin connected at B. Draw the shear and moment diagrams for the girder. 15 kip 3 ft-4 ft- 2 ft B C 8 kip. ft 500 lb/ft 12 ft D

Before the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the tensions in cables AB and BC are 555 N and 660 N, respectively, determine the moment about O of...

A slipper-pad bearing (Fig. P1023) is often encountered in lubrication problems. Oil flows between two blocks; the upper one is stationary, and the lower one is moving in this case. The drawing is...

For the frame in Figure P5.47, draw the shear and moment curves for all members. Next sketch the deflected shape of the frame. Show all forces acting on a free-body diagram of joint \(C\). T 6' 20...

The double-web girder is constructed from two plywood sheets that are secured to wood members at its top and bottom. If each fastener can support \(600 \mathrm{lb}\) in single shear, determine the...

A four-bar mechanism with ternary link is shown in Fig.3.9(a). The lengths of various links is given as below: \[ \begin{aligned} O_{1} O_{2} & =600 \mathrm{~mm}, O_{1} A=300 \mathrm{~mm}, A B=400...

For each of the following systems, give two examples of how a mechanical engineer would be involved in its analysis. (a) Jet engine for a commercial airliner (b) Rover robot for planetary exploration...

The mobile boom lift is used in construction and maintenance applications (Figure P4.16). The hydraulic cylinder AB exerts a 10-kN force on joint B that is directed along the cylinder. By using the...

A spur gear transmits 35 N m of torque to the 20-mm-diameter driveshaft. The 5-mm-diameter setscrew threads onto the gears hub, and it is received in a small hole that is machined in the shaft....

For the compound geartrain, obtain an equation for the velocity and torque ratios in terms of the numbers of teeth labeled in Figure P8.20. Figure P8.20 Output Input Ns N6 N, II Ns N2 N; U N4

Figure P2.7 shows the grain-size distribution of four soil A, B, C, and D. The plastic limit and liquid limit of the fines are as follows. Describe the four soil and give their USCS symbols. Figure...

For the soil profile described in Problem 3.5, estimate an average peak soil friction angle. Use Eq. (3.31b). Problem 3.5 Following is the variation of the field standard penetration number (N 60 )...

A 500 mm diameter and 20 m long concrete pile is driven into a sand where = 18.5 kN/m 3 and ' = 32. Assuming ' = 0.7' and K = 1.5 K o , determine the loadcarrying capacity of the pile, with a factor...

One kilogram of water vapor at 200 kPa fills the 1.1989-m 3 left chamber of a partitioned system shown in Fig. P337. The right chamber has twice the volume of the left and is initially evacuated....

For the rotational mechanical system shown in Figure P2.18, find the transfer function G(s) = 2 (s)/T(s) 1 N-m/rad T(1t) O2(1) 1 kg-m2 1 N-m-s/rad 1 N-m-s/rad 1 N-m-s/rad FIGURE P2.18

For the rotational mechanical system with gears shown in FigureP2.20,findthe transfer function, G(s) = 3 (s)/T(s). The gears have inertia and bearing friction as shown. T(t) to J1. D N2 N3 Jz, D2...

Find the transfer function, G(s) = X 2 (s)/F(s), for the translational mechanical system shown in Figure P2.11. 8 kg 2 N/m 4 N-s/m 2 N-s/m FIGURE P2.11

In this chapter, we described the state-space representation of single input, single-output systems. In general, systems can have multiple inputs and multiple outputs. An autopilot is to be designed...

The game of roulette. Refer to the game of roulette and the events described in Exercise 3.20. Find a. P(A| B) b. P(B | C) c. P(C | A) Data from Exercise 3.20 One game that is popular in many...

A boy tosses a ball onto the roof of a house. For the launch conditions shown, determine the slant distance s to the point of impact. Also, determine the angle which the velocity of the ball makes...

The winch takes in cable at the rate of 200 mm /s, and this rate is momentarily increasing at 500 mm /s each second. Determine the tensions in the three cables. Neglect the weights of the pulleys. 2...

Refer to Exercise 6.16. a. Find E(X). b. Find E(Y). c. Find E (X + Y). d. Find E(XY). Data from Exercise 6.16 Let X and Y have the joint density Scxy if 0 s x < 1; 0 s ys 1 lo f(x, y) elsewhere

Steam-driven power generators rotate at a constant speed via a governor that maintains constant steam pressure in the turbine. In addition, automatic generation control (AGC) or load frequency...

The excess Gibbs energy for binary systems consisting of liquids not too dissimilar in chemical nature is represented to a reasonable approximation by the equation: where A is a function of...

You have liquid in each graduated cylinder shown: You then add both samples to a beaker. How would you write the number describing the total volume? What limits the precision of this number? mL 5 4 3...

Consider the state variable model with parameter K given by Plot the characteristic values of the system as a function of K in the range 0 K 100. Determine that range of K for which all the...

Determine the tension developed in cables AB and AC and the force developed along strut AD for equilibrium of the 400-lb crate. 3 5.5 ft 2 ft Z D 2 ft B 6 ft. 4 ft A 2.5 ft y

A vector field is given by H = 10yz 2 a x 8xyza y + 12y 2 a z (a) Evaluate H at P(1, 2, 4) (b) Find the component of H along a x a y at P.

Replace the force system acting on the frame by an equivalent resultant force, and specify where the resultants line of action intersects member BC, measured from point B. 40 lb B 2 ft 20 lb 5 ft A 5...

Determine the magnitude and orientation of of force F and its placement d on the beam so the loading system is equivalent to a resultant force of 15 kN acting vertically downward at point O and a...

Determine the components of reaction at C. 250 N B C D -1.5 m-1.5 m- -1.5 m-1.5 m- 2 m 2 m E

The 50-lb cylinder is attached to a cord which passes over the fixed drum. If the coefficient of static friction between the cord and the drum is s = 0.3, determine the angle of of the cord if the...

Consider a municipal water treatment plant for a small community (Fig. P1.1). Waste water, 32,000 m 3 /day, flows through the treatment plant with a mean residence time of 8 hr, air is bubbled...

(a) Without referring back, make a list of the most important items you learned in this chapter. (b) Overall, what do you believe were the three major purposes of the chapter?

For the case of methanol synthesis discussed in Example 22.2, determine the appropriate expression for the equilibrium constant K(T) for the case when inerts are present in the feed along with the...

Using the results of Example 5.1, verify that the mode shapes satisfy the following relations, known as orthogonality relations: Data From Example 5.1:- Figure 5.6:- \(\vec{X}^{(1)^{T}}...

Consider the titration of 25.0 mL of 0.050 0 M Sn 2+ with 0.100 M Fe 3+ in 1 M HCl to give Fe 2+ and Sn 4+ , using Pt and calomel electrodes. (a) Write a balanced titration reaction. (b) Write two...

Find a recent engineering failure in the news and prepare a technical report of at least 250 words explaining how a mechanical engineer could have prevented the failure. Explain clearly how your...

The top 500 mm of a site consists of a clayey sand with void ratio of 0.90 and water content of 20.0%. The specific gravity of the soil grains is 2.68. When the ground is compacted at the same water...

A consolidated-drained triaxial test was carried out on a normally consolidated clay specimen, and the following results were recorded: ' 3 = 150 kN/m 2 and f = 260 kN/m 2 . An identical specimen...

The crowbar is subjected to a vertical force of P = 25 lb at the grip, whereas it takes a force of F = 155 lb at the claw to pull the nail out. Find the moment of each force about point A and...

If rope BC will fail when the tension becomes 50 kN, determine the greatest vertical load F that can be applied to the beam at B. What is the magnitude of the reaction at A for this loading? Neglect...

You need to borrow $12,000 to pay your tuition plus room and board. One bank offers to loan you the money for 10 years at 5.0 percent interest compounded annually. Another bank offers you the loan at...

Go to the Internet and connect to the NSPE website (www.nspe.org/ethics). Read the complete NSPE Code of Ethics for Engineers and briefly discuss your reading.

An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three...

An engineer has performed an experiment to study the effect of four factors on the surface roughness of a machined part. The factors (and their levels) are A = tool angle (12, 15). B = cutting fluid...

One pound-mass of water fills a container whose volume is 2ft 3 . The pressure in the container is 100 psia. Calculate the total internal energy and enthalpy in the container.

Derive the Laplace transform for the following time functions: a. u(t) b. tu(t) c. sin t u(t) d. cos t u(t)

A two-stage compression refrigeration system with an adiabatic liquid-vapor separation unit as shown in Fig. P1160 uses refrigerant-134a as the working fluid. The system operates the evaporator at...

a. Write, but do not solve, the mesh and nodal equations for the network of Figure P2.6. b. Use MATLAB, the Symbolic Math Toolbox, and the equations found in part a to solve for the transfer...

Find the transfer function, G(s) = VL(s)/V(s), for each network shown in Figure P2.4. 2H 20 F 22 22 v(t) ( 20 + v(1) 2H3 2 H (a) (b) 1/2 ++ +1

In a paint mixing plant, two tanks supply fluids to a mixing cistern. The height, h, of the fluid in the cistern is dependent upon the difference between the input mass flow rate, q, and the output...

Represent the electrical network shown in Figure P3.1 in state space, where v o (t) is the output. 12 32 12 v,(1) 2 H 1H 0.5 F FIGURE P3.1

Write the general form of the capacitor voltage for the electrical network shown in Figure P4.4. R = 10 k2 vit) = u(t) R2 = 10 k2 C = 10 F L= 200 H FIGURE P4.4

Just after launch from the earth, the space-shuttle orbiter is in the 37 137mi orbit shown. At the apogee point A, its speed is 17,290 mi/hr. If nothing were done to modify the orbit, what would be...

Find the following for the system shown in Figure P5.17: a. The equivalent single block that represents the transfer function, T(s) = C(s)/R(s). b. The damping ratio, natural frequency, percent...

Refer to the Harris Corporation/ University of Florida study to determine whether a manufacturing process performed at a remote location can be established locally, Exercise 2.72. Test devices...

The uniform plate of mass m is released from rest while in the position shown. Determine the initial angular acceleration a of the plate and the magnitude of the force supported by the pin at O. The...

The four-bar linkage of Prob. 5/86 is repeated here. If the angular velocity and angular acceleration of drive link OA are 10 rad/s and 5 rad/s 2 , respectively, both counterclockwise, determine the...

The switching device of Prob. 5/76 is repeated here. If the vertical control rod has a downward velocity v = 2 ft/sec when the device is in the position shown, determine the corresponding speed of...

Design a PD controller for the system shown in Figure P9.2 to reduce the settling time by a factor of 4 while continuing to operate the system with 20.5% overshoot. Compare the performance of the...

The deflection on the manometer is h meters when the pressure in the tank is 150 kPa absolute. If the absolute pressure in the tank is doubled, what will the deflection on the manometer be?...

Both pipes in the system shown have an equivalent sand roughness k s of 0.10 mm and a flow rate of 0.1 m 3 /s, with D 1 = 12 cm, L 1 = 60 m, D 2 = 24 cm, and L 2 = 120 m. Determine the difference in...

Determine the standard heat for one of the reactions of Prob. 4.23: part (a) at 600C, part (b) at 50C, part (f) at 650C, part (i) at 700C, part (j) at 590(F), part (l) at 770(F), part (m) at 850 K,...

What is the composition of the vapor phase in equilibrium with a liquid phase chloroform(1)/tetrahydrofuran(2) mixture of the following compositions at P = 1 bar? (a) x 1 = 0.1 (b) x 1 = 0.2 (c) x 1...

What is the composition of the vapor phase in equilibrium with a liquid phase ethanol(1)/ethyl acetate(2) mixture of the following compositions at P = 1 bar? (a) x 1 = 0.1 (b) x 1 = 0.2 (c) x 1 = 0.3...

Consider a closed vessel initially containing 1 mol of pure tetrahydrofuran at 74C and 120 kPa. Imagine that pure chloroform is slowly added at constant temperature and pressure until the vessel...

Determine Z i , Z o , and A v for the network of Fig. 8.79. Fig. 8.79 +20 V Ipss=9 mA Vp= -4.5 V ra= 40 kQ 10 MQ A Z. 2.2 k2 FIG. 8.79