A cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr theory, determine the factor of safety, (b) Plot the...

A cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr theory, determine the factor of safety, (b) Plot the...

A simple ideal Rankine cycle with water as the working fluid operates between the pressure limits of 4 MPa in the boiler and 20 kPa in the condenser and a turbine inlet temperature of 700C. The...

Consider a function f(x) and its derivative df/dx. Can this derivative be determined by evaluating dx/df and taking its inverse?

Atmospheric air at 1 atm, 30C, and 80 percent relative humidity is cooled to 20C while the mixture pressure remains constant. Calculate the amount of water, in kg/kg dry air, removed from the air and...

A cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr theory, determine the factor of safety, (b) Plot the...

A cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr theory, determine the factor of safety, (b) Plot the...

Repeat Probs. 526 using the modified-Mohr theory. A cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr...

Repeat Probs. 527 using the modified-Mohr theory. A cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr...

A steam power plant operates on the simple ideal Rankine cycle between the pressure limits of 10 kPa and 5 MPa, with a turbine inlet temperature of 600C. The rate of heat transfer in the boiler is...

For the case study problem, change the power requirement to 40 horsepower. Design the intermediate shaft, including complete specification of the gears, bearings, keys, retaining rings, and shaft. A...

Air enters a convergingdiverging nozzle with low velocity at 2.4 MPa and 120C. If the exit area of the nozzle is 3.5 times the throat area, what must the back pressure be to produce a normal shock at...

Air flows through a convergingdiverging nozzle in which the exit area is 2.896 times the throat area. Upstream of the nozzle entrance, the velocity is negligibly small and the pressure and...

A mixture of 1 mol of H 2 and 1 mol of Ar is heated at a constant pressure of 1 atm until 10 percent of H 2 dissociates into monatomic hydrogen (H). Determine the final temperature of the mixture.

Name two advantages of having a computer in the loop.

Solve the following differential equations using classical methods. Assume zero initial conditions. a. dx/dt + 7x = 5 cos 2t b. d 2 x/dt 2 + 6dx/dt + 8x = 5 sin 3t c. d 2 x/dt 2 + 8dx/dt + 25x =...

Some engineers have developed a device that provides lighting to rural areas with no access to grid electricity. The device is intended for indoor use. It is driven by gravity, and it works as...

Given the combined translational and rotational system shown in Figure P2.29, find the transfer function, G(s) = X(s)/T(s). T(O) Radius = r Bh 0000 Ideal D3 gear 1:1 K2 FIGURE P2.29

An adiabatic air compressor compresses 10 L/s of air at 120 kPa and 20C to 1000 kPa and 300C. Determine (a) The work required by the compressor, in kJ/kg, and (b) The power required to drive the air...

A pressure cooker is a pot that cooks food much faster than ordinary pots by maintaining a higher pressure and temperature during cooking. The pressure inside the pot is controlled by a pressure...

In a production facility, 1.5-in-thick, 1-ft 3-ft square brass plates ( = 532.5 lbm/ft 3 and c p = 0.091 Btu/ lbmF) that are initially at a uniform temperature of 75F are heated by passing them...

A refrigerator uses refrigerant-134a as the working fluid and operates on the vapor-compression refrigeration cycle. The evaporator and condenser pressures are 200 kPa and 1400 kPa, respectively. The...

Reconsider Prob. 1034. How much does the thermal efficiency of the cycle change when the temperature at the entrance to the low-pressure turbine is increased to 550C? Data From Q#34: Consider a steam...

A mixture of ideal gases consists of the following gases by mole fraction: 10 percent CO 2 , 60 percent H 2 O, and 30 percent CO. Determine the Gibbs function of the CO in this mixture when the...

Use the Gibbs function to determine the equilibrium constant of the H 2 O H 2 + 1/2 O 2 reaction at (a) 1440 R (b) 3960 R. How do these compare to the equilibrium constants of Table A28? TABLE A-28...

Given the electric network shown in Figure P1.6. a. Write the differential equation for the network if v(t) = u(t), a unit step. b. Solve the differential equation for the current, i(t), if there is...

Repeat Problem 19 in Chapter 1, using Laplace transforms. Assume zero initial conditions. Data From Problem 19 in Chapter 1: Repeat Problem 18 using the network shown in Figure P1.7. Assume R=1;...

Find the transfer function, G(s) = X 1 (s)/F(s), for the translational mechanical system shown in Figure P2.9. -x(1) 4 N-s/m 5 N/m 5 kg FIGURE P2.9

Repeat Problem 32 using MATLAB. Use one program to do the following: a. Display a root locus and pause. b. Draw a close-up of the root locus where the axes go from -2 to 0 on the real axis and -2 to...

Find the transfer function, G(s) = V o (s)/V i (s), for each network shown in Figure P2.3. 12 12 1 H 22 Vo(f) vi(t) e 2FVo() vi(t) 1H 10 (a) (b) FIGURE P2.3

Show that the system of Figure 3.7 in the text yields a fourth-order transfer function if we relate the displacement of either mass to the applied force, and a third-order one if we relate the...

Find the state-space representation in phase-variable form for each of the systems shown in Figure P3.8. R(s) 100 C(s) s4+ 20s3+ 10s2+ 7s + 100 (a) R(s) 30 C(s) 5+ 8s4 + 9s3 + 6s+ s+ 30 (b) FIGURE...

Repeat Problem 9 using MATLAB. Data From Problem 9: Find the state-space representation in phase-variable form for each of the systems shown in Figure P3.8. R(s) 100 C(s) s4+ 20s3+ 10s2+ 7s + 100 (a)...

Find the capacitor voltage in the network shown in Figure P4.2 if the switch closes at t = 0. Assume zero initial conditions. Also find the time constant, rise time, and settling time for the...

For each of the three unit step responses shown in Figure P4.10, find the transfer function of the system. 0.05 0.1 0.15 0.2 0.25 Time (seconds) (a) 25 20 15 10 2 3 5 Time (seconds) (b) 1.4 1.2 1.0...

For each pair of second-order system specifications that follow,find the location of the second-order pair of poles. a. %OS = 12%; T s = 0:6 second b. %OS = 10%; T p = 5 seconds c. T s = 7 seconds; T...

Five construction companies each offer bids on three distinct Department of Transportation (DOT) contracts. A particular company will be awarded at most one DOT contract. a. How many different ways...

In high-volume machining centers, cutting tools are replaced at regular, heuristically chosen intervals. These intervals are generally untimely, i.e., either the tool is replaced too early or too...

The displacement of a particle which moves along the s-axis is given by s = (2 + 3t)e 0.5t , where s is in meters and t is in seconds. Plot the displacement, velocity, and acceleration versus time...

A car comes to a complete stop from an initial speed of 50 mi/hr in a distance of 100 ft. With the same constant acceleration, what would be the stopping distance s from an initial speed of 70 mi/hr?

The stories of a tall building are uniformly 10 feet in height. A ball A is dropped from the rooftop position shown. Determine the times required for it to pass the 10 feet of the first, tenth, and...

For a certain interval of motion the pin A is forced to move in the fixed parabolic slot by the horizontal slotted arm which is elevated in the y-direction at the constant rate of 3 in. /sec. All...

The 230,000-lb space-shuttle orbiter touches down at about 220 mi/hr. At 200 mi/hr its drag parachute deploys. At 35 mi/hr, the chute is jettisoned from the orbiter. If the deceleration in feet per...

The center of mass G of a high jumper follows the trajectory shown. Determine the component v 0 , measured in the vertical plane of the figure, of his takeoff velocity and angle if the apex of the...

If the launch speed of the golf ball of the previous problem remains v 0 = 115 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin is this...

An accelerometer C is mounted to the side of the roller-coaster car and records a total acceleration of 3.5g as the empty car passes the bottommost position of the track as shown. If the speed of the...

An overhead view of part of a pinball game is shown. If the plunger imparts a speed of 3 m/s to the ball which travels in the smooth horizontal slot, determine the acceleration a of the ball (a) just...

In the design of a timing mechanism, the motion of pin P in the fixed circular slot is controlled by the guide A, which is being elevated by its lead screw. Guide A starts from rest with pin P at the...

The small block P starts from rest at time t = 0 at point A and moves up the incline with constant acceleration a. Determine r as a function of time. of A -R- Problem 2/157

The disk A rotates about the vertical z-axis with a constant speed = = /3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate = 2/3 rad /s. At time t = 0, both = 0 and = 0....

The car A has a forward speed of 18 km/h and is accelerating at 3 m/s 2 . Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris...

For the cars of Prob. 2 /195, determine the instantaneous values of r and if car A is slowing down at a rate of 1.25 m/s 2 and car B is speeding up at a rate of 2.5 m/s 2 . Refer to the printed...

The 50-kg crate is projected along the floor with an initial speed of 8 m /s at x = 0. The coefficient of kinetic friction is 0.40. Calculate the time required for the crate to come to rest and the...

The coordinates of a particle which moves with curvilinear motion are given by x = 10.25t + 1.75t 2 0.45t 3 and y = 6.32 + 14.65t 2.48t 2 , where x and y are in millimeters and the time t is in...

The 10-Mg truck hauls the 20-Mg trailer. If the unit starts from rest on a level road with a tractive force of 20 kN between the driving wheels of the truck and the road, compute the tension T in the...

A bicyclist finds that she descends the slope 1 = 3 at a certain constant speed with no braking or pedaling required. The slope changes fairly abruptly to 2 at point A. If the bicyclist takes no...

Determine the weight of cylinder B which would cause block A to accelerate (a) 5 ft /sec2 down the incline and (b) 5 ft /sec2 up the incline. Neglect all friction. 100 lb 25 B WB

The two particles of equal mass are joined by a rod of negligible mass. If they are released from rest in the position shown and slide on the smooth guide in the vertical plane, calculate their...

In the design of a conveyor-belt system, small metal blocks are discharged with a velocity of 0.4 m/s onto a ramp by the upper conveyor belt shown. If the coefficient of kinetic friction between the...

In a railroad classification yard, a 68-Mg freight car moving at 0.5 m/s at A encounters a retarder section of track at B which exerts a retarding force of 32 kN on the car in the direction opposite...

The small bodies A and B each of mass m are connected and supported by the pivoted links of negligible mass. If A is released from rest in the position shown, calculate its velocity v A as it crosses...

The assembly starts from rest and reaches an angular speed of 150 rev/min under the action of a 20-N force T applied to the string for t seconds. Determine t. Neglect friction and all masses except...

A particle with a mass of 4 kg has a position vector in meters given by r = 3t 2 i 2tj 3k, where t is the time in seconds. For t = 5 s determine the angular momentum of the particle and the moment...

The assembly of two 5-kg spheres is rotating freely about the vertical axis at 40 rev/min with = 90. If the force F which maintains the given position is increased to raise the base collar and...

A quality control engineer samples five from a large lot of manufactured firing pins and checks for defects. Unknown to the inspector, three of the five sampled firing pins are defective. The...

Refer to the Journal of Systems Sciences & Systems Engineering (March, 2013) study of the reliability of a manufacturing system that involves multiple production lines, Exercise 4.6. Consider, again,...

For each of the following transfer functions with zeros, find the component parts of the unit step response: (1) the derivative of the response without a zero and (2) the response without a zero,...

Find the range of gain, K, to ensure stability in the unity feedback system of Figure P6.3 with K(s+ 2) (s2 + 1)(s +4)(s - 1) G(s) = R(s) + E(s) C(s) G(s) FIGURE P6.3

Figure P7.2 shows the ramp input r(t) and the output c(t) of a system. Assuming the outputs steady state can be approximated by a ramp, find a. The steady-state error; b. The steady-state error if...

Find the value of K in the system of Figure P6.10 that will place the closed-loop poles as shown. R(s) K C(s) s+3 ja FIGURE P6.10 Closed-loop system with pole plot

The Scotch-yoke mechanism converts rotational motion of the disk to oscillatory translation of the shaft. For given values of , , , r, and d, determine the velocity and acceleration of point P of the...

At time t = 0, the arm is rotating about the fixed z-axis with an angular velocity = 200 rad/s in the direction shown. At that time, a constant angular deceleration begins and the arm comes to a...

The flywheel has a diameter of 600 mm and rotates with increasing speed about its z-axis shaft. When point P on the rim crosses the y-axis with = 90, it has an acceleration given by a = 1.8i 4.8j m...

Derive an expression for the upward velocity v of the car hoist in terms of . The piston rod of the hydraulic cylinder is extending at the rate s. b. 26 b. L

For the instant represented, corner A of the rectangular plate has a velocity v A = 2.8 m/s and the plate has a clockwise angular velocity w = 12 rad/s. Determine the magnitude of the corresponding...

The spoked wheel of radius r is made to roll up the incline by the cord wrapped securely around a shallow groove on its outer rim. For a given cord speed v at point P, determine the velocities of...

The rear driving wheel of a car has a diameter of 26 in. and has an angular speed N of 200 rev/min on an icy road. If the instantaneous center of zero velocity is 4 in. above the point of contact of...

The flexible band F is attached at E to the rotating sector and leads over the guide pulley G. Determine the angular velocities of links AB and BD for the position shown if the band has a speed of 2...

At the instant under consideration, the rod of the hydraulic cylinder is extending at the rate v A = 2 m/s. Determine the corresponding angular velocity w OB of link OB. A VA = 2 m/s 60 180 mm 120 mm...

Finding F values. Find F .05 for an F distribution with: a. Numerator df = 7, denominator df = 25 b. Numerator df = 10, denominator df = 8 c. Numerator df = 30, denominator df = 60 d. Numerator df...

The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass m D . If an input torque M is applied to gear A, what will be the resulting acceleration a of...

A uniform slender rod rests on a car seat as shown. Determine the deceleration a for which the rod will begin to tip forward. Assume that friction at B is sufficient to prevent slipping. Vertical ...

The cars of the roller coaster have a speed v = 25 ft/sec at the instant under consideration. As rider B passes the topmost point, she observes a stationary friend A. What velocity of A does she...

Car B is rounding the curve with a constant speed of 54 km/h, and car A is approaching car B in the intersection with a constant speed of 72 km/ h. Determine the velocity which car A appears to have...

The slotted wheel rolls to the right without slipping, with a constant speed v = 2 ft/sec of its center O. Simultaneously, motion of the sliding block A is controlled by a mechanism not shown so that...

The sector rotates with the indicated angular quantities about a fixed axis through point B. Simultaneously, the particle A moves in the curved slot with constant speed u relative to the sector....

The elements of a power hacksaw are shown in the figure. The saw blade is mounted in a frame which slides along the horizontal guide. If the motor turns the flywheel at a constant counterclockwise...

Digital versatile disc (DVD) players incorporate several control systems for their operations. The control tasks include (1) keeping the laser beam focused on the disc surface, (2) fast track...

In a designed experiment, a. What two factors affect the quantity of information? b. How does blocking increase the quantity of information?

Different signal-flow graphs can represent the same system. Which form facilitates the calculation of the variable gains during controller design?

Use LabVIEW with the Control Design and Simulation Module and MathScript RT Module to do the following: Modify the CDEx Nyquist Analysis.vi to obtain the range of K for stability using the Nyquist...

The mechanism shown oscillates in the vertical plane about the pivot O. The springs of equal stiffness k are both compressed in the equilibrium position = 0. Determine an expression for the period ...

Determine the amplitude of vertical vibration of the car as it travels at a velocity v = 40 km/h over the wavy road whose contour may be expressed as a sine or cosine function with a double amplitude...

The 5-kg bar is released from rest while in the position shown and its end rollers travel in the vertical-plane slot shown. If the speed of roller A is 3.25 m/s as it passes point C, determine the...

The small block of mass m slides along the radial slot of the disk while the disk rotates in the horizontal plane about its center O. The block is released from rest relative to the disk and moves...

An analyst tested the null hypothesis 20 against the alternative hypothesis that < 20. The analyst reported a p-value of .06. What is the smallest value of for which the null hypothesis would be...

When asked, How much time will you require to complete this task, cognitive theory posits that people (e.g., an electrical engineer) will typically underestimate the time required. Would the opposite...

Find the total steady-state error due to a unit step input and a unit step disturbance in the system of Figure P7.14. D(s) R(s) + 1 100 C(s) s+5 s+2 FIGURE P7.14

Which of the following is the formula for the gage pressure within a very small spherical droplet of water: (a) p = /d, (b) p = 4/d, (c) p = 8/d?

For a given Francis turbine, 1 = 60, 2 = 90, r1 = 5 m, r 2 = 3 m, and B = 1 m. Th e discharge is 126 m 3 /s, and the rotational speed is 60 rpm. Assume T = 10C. a. What should 1 be for a non...