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The results of a refraction survey (Figure 3.45a) at a site are given in the following table. Determine the thickness and the P-wave velocity of the materials encountered. Distance from the source of... Modern robotic manipulators that act directly upon their target environments must be controlled so that impact forces as well as steady-state forces do not damage the targets. At the same time, the... Refer to the figure for Prob. 5/177. Car A is traveling along the straightaway with speed v, and this speed is decreasing at a rate a. Car C is moving along the circular off-ramp with speed v/2, and... Gear A has a mass of 0.5 kg and a radius of gyration of k A = 40 mm, and gear B has a mass of 0.8 kg and a radius of gyration of k B = 55 mm. The link is pinned at C and has a mass of 0.35 kg. If the... The 80-kg wheel has a radius of gyration about its mass center O of k o = 400 mm. Determine its angular velocity after it has rotated 20 revolutions starting from rest. 0.6 m P = 50 N Determine the equations of the elastic curve for the beam using the x 1 and x 2 coordinates. Specify the beams maximum deflection. EI is constant. 1667 015 A -X1 L B Prob. 7-7 72 L |--x-- Pump specific speed and turbine specific speed are extra parameters that are not necessary in the scaling laws for pumps and turbines. Explain, then, their purpose. Suppose you are a bank lending officer at the Midtown National Bank considering a loan request from Miller Manufacturing company for $1.05 million. The firm currently has $1 million in equity and its... Represent the electrical network shown in Figure P3.2 in state space, where i R (t) is the output. 3 2H Vy(1) v(t) 3F 4v1(1) 32 iR(1) FIGURE P3.2 A jet-engine thrust reverser to reduce an aircraft speed of 200 km/h after landing employs folding vanes which deflect the exhaust gases in the direction indicated. If the engine is consuming 50 kg... The uniform plate weighs 40lb and is supported by a roller at A. If a horizontal force of F = 70 lb is applied to the roller, determine the acceleration of the center of the roller at the instant the... In the mechanism shown in Fig.3.11(a), determine the acceleration of the slider \(C . O_{1} A=100 \mathrm{~mm}, A B=\) \(120 \mathrm{~mm}, O_{2} B=150 \mathrm{~mm}\), and \(B C=350 \mathrm{~mm}\).... Refer to Figure 7.16. Assume that the head loss in the pipe is given by h L = 0.02(L/D)(V 2 /2g), where V is the mean velocity in the pipe, D is the pipe diameter, and L is the pipe length. The... Determine the components of reaction at A and B. A, 800 N-m B 2 m 2 m 1.5 m 45% 600 N 1.5 m D Repeat Example 9.2, but with a feed pressure of 5.0 MPa. Compare your results to those obtained at a feed pressure of 1.0 \(\mathrm{MPa}\). Data From Example 9.2:- Air can be separated into... A solution with a final volume of 500.0 mL was prepared by dissolving 25.00 mL of methanol (CH 3 OH, density = 0.791 4 g/mL) in chloroform. (a) Calculate the molarity of methanol in the solution. (b)... Fe(III) precipitates from acidic solution by addition of OH - to form Fe(OH) 3 (s). At what concentration of OH - will [Fe(III)] be reduced to 1.0 10 -10 M? If Fe(II) is used instead, what... During the design of the spring-support system for the 4000-kg weighing platform, it is decided that the frequency of free vertical vibration in the unloaded condition shall not exceed 3 cycles per... What is the composition of the liquid phase in equilibrium with a vapor phase ethanol(1)/ethyl acetate(2) mixture of the following compositions at P = 1 bar? (a) y 1 = 0.1 (b) y 1 = 0.2 (c) y 1 = 0.3... If corner A of the 60-kg plate is subjected to a vertical force of P = 500 N, and the plate is released from rest when = 0, determine the angular velocity of the plate when = 45. A P = 500 N 0 1 m.... With the same bearing dimensional specifications and fluid viscosity used in Problem 1221, the load now rotates with the journal; i.e. F x = 3000 cos t, F y = 3000 sin t, where = 200 rad/s is the... Consider pressure-driven flow in an annular channel. The inner and outer radii are as in Fig. P7.1, but now both cylinders are stationary and there is a mean fluid velocity U in the z direction. The... A braced cut shown in Figure P19.3 is to be made to a depth of 9.0 m in a saturated clay deposit where the unit weight is 17.65 kN/m 3 and the undrained shear strength is 30 kN/m 2 . The struts are... A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for... One way to reduce the drag of a blunt object is to install vanes to suppress the amount of separation. Such a procedure was used on model trucks in a wind tunnel study. For tests on a van-type truck... Resolve the force F 1 into components along the u and u axes and determine the magnitude of the components. 75 30 30 F = 6 kN v F = 4 kN If the 250-lb block is released from rest when the spring is unstretched, determine the velocity of the block after it has descended 5 ft.The drum has a weight of 50 lb and a radius of gyration of k... The rod has a length L and mass m.A smooth collar having a negligible size and one-fourth the mass of the rod is placed on the rod at its midpoint. If the rod is freely rotating at about its end and... As relay runner A enters the 65-ft-long exchange zone with a speed of 30 ft/s, he begins to slow down. He hands the baton to runner B 2.5 s later as they leave the exchange zone with the same... A driven closed-ended pile, circular in cross section, is shown in Figure P12.7. Calculate the following. a. The ultimate point load using Meyerhofs procedure. b. The ultimate point load using Vesics... During a short interval the slotted guides are designed to move according to x = 16 12t + 4t 2 and y = 2 + 15t 3t 2 , where x and y are in millimeters and t is in seconds. At the instant when t = 2... Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 6 in. /sec, which is decreasing at the rate of 2 in. /sec every... The linkage supports a force of 500 lb and rides along the top and bottom flanges of the crane rail. Determine the force of each roller on the flange. -8 in.- B -3 in. 500 lb Solve Prob. 16-131 assuming that at the instant x = 0.1 m, x = -3m/s, x = 1.25 m/s, D = 2 rad/s, and the disk has an angular deceleration D = 4 rad/s. Solve Prob. 16-131 The slider block B, which... If the support at B is suddenly removed, determine the initial reactions at the pin A. The plate has a weight of 30 lb. 2 ft B -2 ft The 30-kg disk is originally spinning at = 125 rad/s. If it is placed on the ground, for which the coefficient of kinetic friction is C = 0.5, determine the time required for the motion to stop.... The bicycle and rider have a mass of 80 kg with center of mass located at G. Determine the minimum coefficient of kinetic friction between the road and the wheels so that the rear wheel B starts to... The part shown is loaded at point C with 300 N in the positive x direction and at point E with 200 N in the positive y direction. The diameter of the bar ABD is 12 mm. Evaluate the likelihood of... A manufacturing facility located at 32 N latitude has a glazing area of 60 m 2 facing west that consists of double-pane windows made of clear glass (SHGC = 0.766). To reduce the solar heat gain in... 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... In the slider-crank shown in Fig.3.10(a), the lengths of the various links are: \[ O A=A C=200 \mathrm{~mm}, A B=600 \mathrm{~mm}, \angle A O B=30^{\circ} \text {. } \] The crank rotates at \(10... Refer to Figure 18.23. Given L 1 = 3 m, L 2 = 6 m, l 1 = 1.5 m, = 16.5 kN/m 3 , sat = 19.0 kN/m 3 , and ' = 35. a. Find the required depth of the sheet pile, increasing the theoretical estimate by... For the unexcited (no external force applied) system of Figure P2.16, do the following: a. Write the differential equation that describes the system. b. Assuming initial conditions x(0) = x 0 and... Problem 67 in Chapter 2 introduced a model for HIV infection. If retroviral drugs, RTIs and PIs as discussed in Problem22 in Chapter 1, are used, the model is modified as follows (Craig, 2004): where... A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 40 ft/sec as it contacts the bumper. The two outer springs cause a... For the closed tank with Bourdon-tube gages tapped into it, what is the specific gravity of the oil and the pressure reading on gage C? 0.5 m Air A PA= 50.0 kPa 1.0 m Oil B Pg= 58.5 kPa 0.5 m 1.0 m... It is proposed to cool a stream of 75-wt-% sulfuric acid solution at 330 K by diluting it with chilled water at 280 K. Determine the amount of water that must be added to 1 kg of 75-wt-% acid before... A FET phase-shift oscillator having g m = 6000 S, r d = 36 k and feedback resistor R = 12 k are to operate at 2.5 kHz. Select C for specified oscillator operation. Determine the distance y to the centroid of the area. 150 mm 150 mm 100 mm y 300 mm C y 600 mm Two blocks A and B, each having a mass of 6 kg, are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is s = 0.5, determine the largest vertical force... Calculate the heat loss for a top-floor apartment and an apartment that is below the top floor, using the apartment building in Appendix A. Assume the apartment will be built at the geographical... The molar enthalpy of a ternary mixture of species a, b, and c can be described by the following expression: h = -5000x - 3000x2200x500xxx [J/mol] (a) Come up with an expression for H (b) Calculate H... Figure P13.3 shows a drilled shaft with bell in a sandy soil. The soil properties are given in the figure. a. Determine the maximum load that can be allowed on the drilled shaft with a factor of... 1 kg of oxygen is heated from 20 to 120C. Determine the amount of heat transfer required when this is done during a (a) Constant-volume process and (b) Isobaric process. Oxygen 1 kg T = 20C T, = 120C... A brittle material has the properties S ut = 30 kpsi and S uc = 90 kpsi. Using the brittle CoulombMohr and modified-Mohr theories, determine the factor of safety for the following states of plane... The 4-kg ball and the attached light rod rotate in the vertical plane about the fixed axis at O. If the assembly is released from rest at = 0 and moves under the action of the 60-N force, which is... Ecological Applications (May 1995) published a study on the development of forests following wildfires in the Pacific Northwest. One variable of interest to the researcher was tree diameter at breast... Resolve each force acting on the post into its x and y components. F = 450 N 45 y F = 300 N F3 = 600 N -X Specify the magnitude F 3 and directions 3 . 3 and 3 so that the resultant force of the three forces is F R = {9j} kN. X F3 z Y3 135 -B312 Prob. 2-77 F = 10 KN 30 F = 12 kN Determine the moment of the force F about the door hinge at B. Express the result as a Cartesian vector. 45 7 ft F = 80 lb 3 ft X B Z 1.5 ft 5 ft y 4 ft 1.5 ft D The pressure loading on the plate is described by the function p = [-240/(x + 1) + 340] Pa. Determine the magnitude of the resultant force and the coordinates (x, ) of the point where the line of... You are designing a Rankine heat engine which must produce 10,000 kJ/min of NET shaft work. The heat source is at T = 200C and the low-temperature reservoir at T= 25C. The turbine efficiency is 75%,... The thin-walled tubular shaft shown in Figure 9.8 is made of a randomly oriented, short-fiber-reinforced metal matrix composite. The shaft has a longitudinal through-thickness crack of length \(2 a\)... Determine the moment about point B of each of the three forces acting on the beam. F = 375 lb F2 = 500 lb 3. B. 0.5 ft tontsa- 8 ft 6 ft -5 ft- 30 F3 = 160 lb A car is alone at a red light. When the light turns green, it starts off at constant acceleration. After traveling 100. m, it is traveling at 15. m/s. What is its acceleration? Use the v-t diagram... Find the transfer function, G(s) = X 3 (s)/F(s), for the translational mechanical system shown in Figure P2.13. 2 N-s/m x3(1) 2 N-s/m x(1) 6 N/m 4 kg 4 kg 6 N/m 2 N-s/m 0000 4 kg Frictionless FIGURE... For the 3500-lb car, determine (a) its mass in slugs, (b) its weight in newtons, and (c) its mass in kilograms. W = 3500 lb Problem 1/1 The rod OA is held at the constant angle = 30 while it rotates about the vertical with a constant angular rate = 120 rev/min. Simultaneously, the sliding ball P oscillates along the rod with its... A tennis player strikes the tennis ball with her racket while the ball is still rising. The ball speed before impact with the racket is v 1 = 15 m/s and after impact its speed is v 2 = 22 m/s, with... In the pump test shown, the rate of flow is 6 cfs of oil (SG = 0.88). Calculate the horsepower that the pump supplies to the oil if there is a differential reading of 46 in. of mercury in the U-tube... Describe a feedback control system in which a user utilizes a smart phone to remotely monitor and control a washing machine as illustrated in Figure DP1.3. The control system should be able to start... 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,... A person in an elevator moving upward at 10 m/s lifts a 60 kg mass 1.5 m off the elevator floor in 2 s. How much work did the person do relative to the elevator? How much relative to the ground? Why... Determine the equations of the elastic curve using the coordinates x 1 and x 2 and specify the slope and deflection at B. EI is constant. A X1- 2 k/ft -8 ft x2- -12 ft- Jc Probs. 7-4/5 x3 B Calculate the values of specific volume, specific internal energy, and specific enthalpy for water in vaporliquid equilibrium at 180C if its quality is 0.2. Use the tables in Appendix A.3 for data.... The optical properties of a remarkable class of materials called topological insulators (TI) are captured by constitutive relations which involve the fine structure constant, = (e 2 / hc) / (4 0... See Figure P123. The shaft rotating at 480 rpm carries a 10-in-diameter chain sprocket at C that receives 11 hp from a mating sprocket below and to the left as shown. Compute the torque delivered to... (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? Develop a general-purpose computer application (using EES or other software) that employs the affinity laws to design a new turbine (B) that is dynamically similar to a given turbine (A). The inputs... A counter-current gas-absorption column is to be designed to remove CO 2 from an inert gas stream by reaction with an amine solution at 20C. At this temperature, CO 2 reacts with the amine according... The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car. Both the front and rear brakes are locked. Take s = 0.3. G. 30 0.3 m 0,6 m B -1 m-... The rocket is fi red vertically and tracked by the radar station shown. When reaches 60, other corresponding measurements give the values r = 9 km, r = 21m/s 2 , and = 0.02 rad/s. Calculate the... For the pinball game of Prob. 2/109, if the plunger imparts an initial speed of 3 m /s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.08 s and (b) at time t =... The 15-lb cylindrical collar is released from rest in the position shown and drops onto the spring. Calculate the velocity v of the cylinder when the spring has been compressed 2 in. B | | A 15 lb... 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... A steel microstructure contains 92% martensite and 8% Fe 3 C; the composition of the martensite is 1.10% C. Using Figure 12-35, determine (a) The temperature from which the steel was quenched and (b)... 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 moment of inertia of the cross-sectional area of the wing channel about the y axis. 2 in. y 1.5 in. 1.5 in. C 2 in. 3 in. In a continuous manufacturing process, chlorodifluoromethane (CHClF 2 ), initially at 10 bar and 420 K, passes through an adiabatic pressure-reducing valve so that its pressure drops to 0.1 bar (this... A Y-connected load, with Z A = 10 0 , Z B = 10 60, and Z C = 10 60 , is connected to a three-phase, three-wire, ABC system having effective line voltage 141.4 V. Find the load voltages V AO , V BO... Determine the invariants, and principal values and directions of the following matrices. Use the determined principal directions to establish a principal coordinate system, and following the... (a) What value of absorbance corresponds to 45.0% T? (b) If a 0.010 0 M solution exhibits 45.0% T at some wavelength, what will be the percent transmittance for a 0.020 0 M solution of the same... Twenty observations on etch uniformity on silicon wafers are taken during a qualification experiment for a plasma etcher. The data are as follows: (a) Construct a 95 percent confidence interval... 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... 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... A small package is deposited by the conveyor belt onto the 30 ramp at A with a velocity of 0.8 m /s. Calculate the distance s on the level surface BC at which the package comes to rest. The... Determine the velocity of cart A if cylinder B has a downward velocity of 2 ft/sec at the instant illustrated. The two pulleys at C are pivoted independently. UB B Problem 2/210 The 3-lb collar is released from rest at A and slides freely down the inclined rod. If the spring constant k = 4 lb/ft and the unstretched length of the spring is 50 in., determine the speed of the...
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