Air with a density of 0.07 lbm/ft 3 is flowing upward in the vertical duct, as shown. The velocity at the inlet (station 1) is 90 ft/s, and the area ratio between stations 1 and 2 is 0.3 (A 2 /A 1 =...

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 disk has a mass of 10 kg. If it is suspended from a spring having an unstretched length of 400 mm, determine the angle for equilibrium. k = 600 N/m 200 mm

The mechanism shown was thought by its inventor to be the perpetual-motion machine. It consists of stand A, two smooth idler wheels B and C, and in between a uniform hollow cylindrical ring D...

A 10-kN load is suspended from the boom at D. Determine the force in the hydraulic cylinder BC and the pin reaction at A. 4 1.5 m C 45 B 3m 130 D 10 kN/m

Determine the force in the cable as a function of , needed to support the 100-kg hatch door. P 2 m C 2 m B

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 members are in tension or compression. Assume all member are pin connected. 3 m 1 m E -2 m D B -2 m C 20 KN

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...

If F = {16i + 10j - 14k) N, determine the magnitude of the of F along the axis of the pole and perpendicular projection to it. X N 4 m 60 F 2 m

Determine the shear and moment as a function of x, where 0 x < 3m and 3m < x 6m, and then draw the shear and moment diagrams. A -3 m- 30 kN-m C -3 m- B

Determine the couple moment M needed to create a force of F = 200 N on the slider block at C. F= 200 N 300 mm B -200 mm 80 mm

A woman having a weight of 175 lb attempts to hold herself using one of the two methods shown. Determine the total force she must exert on bar AB in each case and the normal reaction she exerts on...

A small solar engine is used for water pumping in a desert area. Water is the working fluid. Water enters the pump as saturated liquid at 50C and is pumped up to 2 bar by a small centrifugal pump....

The cooling system for a small private jet airplane consists of the hardware shown here. High-pressure air from the aircraft engine compressor is fed to a small turbine at state 1 (temperature T 1 )....

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...

The average amount of solar energy received at the earths surface in a certain location is approximately 1350 W/m 2 . This energy can be used in a solar power plant, because of the reradiation of...

Use the moment-area theorems and determine the slope at A and displacement at C. EI is constant. A 3 m- C 8 kN Probs. F7-13/14 3 m B

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...

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...

In a continuous manusfacturing process chlorodifluoromethane (CHClF 2 ) initially at 10 bar and 420C passes through and adiabatic pressure reducing valve so that its pressure is reduced to 0.1 bar...

For a simplified analysis of the vibration of an airplane in the vertical direction, a threedegree-of-freedom model, as shown in Fig. 6.26, can be used. The three masses indicate the masses of the...

A simple lumped-parameter model of a building, shown as the inverted link in Figure 6.68, can be used for preliminary study of earthquake dynamics. Derive the equations of motion for this two...

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...

Channel-lock pliers hold a round metal bar as a machinist grips the handles with P = 50 N (Figure P4.21). Using the free body diagram shown for the combined lower jaw and upper handle, calculate 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...

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 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...

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,...

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.

The 25-kg bar has a center of mass at G. If it is supported by a smooth peg at C, a roller at A, and cord AB, determine the reactions at these supports. A DOD 0.5 m 0.2 m G 30 15 0.3 m C D B

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 sign has a mass of 100 kg with center of mass at G. Determine the x, y, z components of reaction at the ball-andsocket joint A and the tension in wires BC and BD. 1m GC 2 m A 2 m 1 m QD 1'm G 1 m

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...

A two-dimensional diverging duct is being designed to diffuse the high-speed air exiting a wind tunnel. The x-axis is the centerline of the duct (it is symmetric about the x-axis), and the top and...

Laboratory tests of a membrane for \(\mathrm{H}_{2} / \mathrm{CH}_{4}\) separation gave a permeate composition of \(80 \% \mathrm{H}_{2}\) and a \(20 \%\) cut when the feed was \(50 \%...

For a cylindrical particle, derive the relationship between the ratio of surface area to volume, A/V, and the particle aspect ratio, l/d, and verify the shape of the curve shown in Figure 1.3. FIGURE...

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...

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...

For the original 4340 steel-reinforced concrete post design of Problem 1.13 and the new IM9 carbon fiber-reinforced concrete post design of Problem 1.16, compare the tensile stress-to-tensile...

Solve Prob. 8-33 using Castigliano's theorem. Data From Problem 8.33 A 2 k/ft 12 ft B 6 ft C

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...

Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at A. 4 kN/m 2 kN/m -3 m -3 m

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...

Determine the moment of inertia for the shaded area about the x axis. -y? = 1 - x 1 m 1 m 1 m -

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 experiment was run in a semiconductor fabrication plant in an effort to increase yield. Five factors, each at two levels, were studied. The factors (and levels) were A = aperture setting (small,...

Design an experiment for confounding a 26 factorial in four blocks. Suggest an appropriate confounding scheme, different from the one shown in Table 7-8. Table 7-8.

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...

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

Find the state-space representation of the network shown in Figure P3.3 if the output is v o (t). iz(1). 1 H 1F v,(1) 1 F 22 i(1) iz(1) FIGURE P3.3

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...

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

A rocket fi red vertically up from the north pole achieves a velocity of 27 000 km /h at an altitude of 350 km when its fuel is exhausted. Calculate the additional vertical height h reached by the...

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 uniform cylinder is rolling without slip with a velocity v along the horizontal surface when it overtakes a ramp traveling with speed v 0 . Determine an expression for the speed v which 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...

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...