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An AISI 1018 steel has a yield strength, S y = 295 MPa. Using the distortion-energy theory for the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus, the... An AISI 1018 steel has a yield strength, S y = 295 MPa. Using the distortion-energy theory for the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus, the... An AISI 4142 steel Q&T at 800F exhibits S yt = 235 kpsi, S yc = 285 kpsi, and f = 0.07. For the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus and the... 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 =... An AISI 4142 steel Q&T at 800F exhibits S yt = 235 kpsi, S yc = 285 kpsi, and f = 0.07. For the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus and the... An AISI 4142 steel Q&T at 800F exhibits S yt = 235 kpsi, S yc = 285 kpsi, and f = 0.07. For the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus and the... Repeat Prob. 519 by first plotting the failure loci in the A , B plane to scale; then for each stress state, plot the load line and by graphical measurement estimate the factor of safety. (a) x =... For an ASTM 30 cast iron, (a) Find the factors of safety using the BCM and MM theories, (b) Plot the failure diagrams in the A , B plane to scale and locate the coordinates of the stress state, (c)... 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 For an ASTM 30 cast iron, (a) Find the factors of safety using the BCM and MM theories, (b) Plot the failure diagrams in the A , B plane to scale and locate the coordinates of the stress state, (c)... For an ASTM 30 cast iron, (a) Find the factors of safety using the BCM and MM theories, (b) Plot the failure diagrams in the A , B plane to scale and locate the coordinates of the stress state, (c)... For an ASTM 30 cast iron, (a) Find the factors of safety using the BCM and MM theories, (b) Plot the failure diagrams in the A , B plane to scale and locate the coordinates of the stress state, (c)... 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 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 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... 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... 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... 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... Reconsider Prob. 7199E. The filled compressed-air storage tank is discharged at a later time through the turbine until the pressure in the tank is 1 atm. During this discharge, the temperature of the... 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... 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 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... 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... 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... 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 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;... 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... 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... 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)... Solve the following state equation and output equation for y(t), where u(t) is the unit step. Use the Laplace transform method. -3 x+ u(t) -1 y = [1 0]x; x(0) = Problem 23 in Chapter 1 discusses the cruise control of serial, parallel, and split-power hybrid electric vehicles (HEVs). The functional block diagrams developed for these HEVs indicated that the... Figure P3.17 shows a free-body diagram of an inverted pendulum, mounted on a cart with a mass, M. The pendulum has a point mass, m, concentrated at the upper end of a rod with zero mass, a length, l,... 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? 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... For Problem 23 in Chapter 1 we developed the functional block diagrams for the cruise control of serial, parallel, and split-power hybrid electric vehicles (HEV). Those diagrams showed that the... Refer to the Minerals Engineering (Vol. 46-47, 2013) study of the impact of calcium and gypsum on the flotation properties of silica in water, Exercise 2.23 and 2.34. Recall that one flotation... Engineers who design shopping vehicles (e.g., carts) for retail stores take into account issues such as maneuverability, shopping behavior, child safety, and maintenance cost. Interestingly, while... Refer to the Minerals Engineering (Vol. 46-47, 2013) study of the impact of calcium and gypsum on the flotation properties of silica in water, Exercises 2.23, 2.34 and 2.40. Recall that zeta... A Harris Corporation/University of Florida study was undertaken to determine whether a manufacturing process performed at a remote location can be established locally. Test devices (pilots) were set... 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... Writing in Environmental Science & Technology (May 1986), Joseph Fiksel researched the problem of compensating victims of chronic diseases (such as cancer and birth defects) who are exposed to... 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... 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... To ascertain the effectiveness of their advertising campaigns, firms frequently conduct telephone interviews with consumers using random-digit dialing. With this method, a random number generator... 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 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 Compute the impact speed of a body released from rest at an altitude h = 650 miles above the surface of Mars. (a) First assume a constant gravitational acceleration g m0 = 12.3 ft/sec 2 (equal to... 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... 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... 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... 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 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 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.... 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 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... 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 robot arm is elevating and extending simultaneously. At a given instant, = 30, = 40 deg /s, = 120 deg /s 2 , l = 0.5 m, l = 0.4 m /s, and l = 0.3 m /s 2 . Compute the radial and transverse... 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... 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 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... Water issues from a nozzle with an initial velocity v and supports a thin plate of mass m at a height h above the nozzle exit. A hole in the center of the plate allows some of the water to travel... Refer to the Computers & Security (July, 2013) study of Microsoft program security issues, Exercise 2.4. Recall that Microsoft periodically issues a Security Bulletin that reports the software --... A system is represented by the state and output equations that follow. Without solving the state equation, find the poles of the system. X = -4 3. x+ -2 u(t) y = [5 1]x 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... Refer to the Environmental Science & Technology (Jan. 2005) study of methyl tert-butyl ether (MTBE) contamination in New Hampshire wells, Exercise 2.12 (p. 29). Data collected for a sample of 223... The 30-kg spool of outer radius r o = 450 mm has a centroidal radius of gyration k = 275 mm and a central shaft of radius r i = 200 mm. The spool is at rest on the incline when a tension T = 300 N is... 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 large power-cable reel is rolled up the incline by the vehicle as shown. The vehicle starts from rest with x = 0 for the reel and accelerates at the constant rate of 2 ft/sec 2 . For the instant...
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