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Reconsider Prob. 11120E. The refrigeration system of that problem cools one reservoir at 15F and one at 40F while rejecting heat to a reservoir at 80F. Which process has the highest exergy... Determine the ultimate load-carrying capacity of the drilled shaft shown in Figure P13.4, using the Reese and ONeill (1989) method. Figure P13.4 750 mm Sand 8.0 m y = 16.5 kN/m3 T1.0 m Sand 1.5 m y =... The vertical shaft and attached clevis rotate about the z-axis at the constant rate = 4 rad/s. Simultaneously, the shaft B revolves about its axis OA at the constant rate w 0 = 3 rad/s, and the... At the instant of vertical launch the rocket expels exhaust at the rate of 220 kg/s with an exhaust velocity of 820 m/s. If the initial vertical acceleration is 6.80 m/s 2 , calculate the total mass... Calculate the voltage of the following cell, in which KHP is potassium hydrogen phthalate, the monopotassium salt of phthalic acid. By the reasoning in Figure 13-8, in which direction do electrons... The cable exerts a 140-N force on the telephone pole. Determine the moment of this force about point A. Solve the problem using two different position vectors. F = 140 N/ 3 m B Z 6 m 2m -y Consider a modified form of Couette flow in which there are two immiscible fluids sandwiched between two infinitely long and wide, parallel flat plates (Fig. P9104). The flow is steady,... The spool has a mass of 30 kg and a radius of gyration k o = 0.25 m. Block A has a mass of 25 kg, and block B has a mass of 10 kg. If they are released from rest, determine the time required for... 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 Complex formation by 3-aminopyridine and picric acid in chloroform solution gives a yellow product with an absorbance maximum at 400 nm. Neither starting material absorbs significantly at this... A horizontal flow initially at Mach 1 flows over a downward-sloping expansion corner, thus creating a centered Prandtl-Meyer expansion wave. The streamlines that enter the head of the expansion wave... Reconsider the experiment described in Problem 6-1. Suppose that the experimenter only performed the eight trials from replicate I. In addition, he ran four center points and obtained the following... If the wire in Figure A is stretched from 1.00 m to 1.01 m in length, what is the strain of the wire? The following figures depict the situations described in above exercise. Diameter 0.20 mm L Cube... In a production woodworking shop, 50-m spherical dust particles were blown into the air while a piece of oak furniture was being sanded. (a) What is the terminal velocity of the particles as they... The ideal gas law relates the pressure P, volume V, absolute temperature T, and amount of gas n. The law is P = nRT/V where R is the gas constant. An engineer must design a large natural gas storage... A 5 m deep excavation is required in a dry sand where = 17.5 kN/m 3 and ' = 32 (see Figure 18.11). Determine the actual depth to which the sheet pile has to be driven and the required section (from... A corporation that manufactures field rifles for the Department of Defense operates a production line that turns out finished firing pins. To monitor the process, an inspector randomly selects five... A large quantity of very dilute aqueous N a OH solution is neutralized by addition of the stoichiometric amount of a 10-mol-% aqueous HCl solution. Estimate the heat effect per mole of N a OH... A six-cylinder, 4-L spark-ignition engine operating on the ideal Otto cycle takes in air at 90 kPa and 20C. The minimum enclosed volume is 15 percent of the maximum enclosed volume. When operated at... Reconsider Prob. 256E. Using appropriate software, study the effects of the unit cost of energy, the new combustion efficiency on the annual energy, and cost savings. Let the efficiency vary from 0.7... An experimenter has run a Box-Behnken design and has obtained the results below, where the response variable is the viscosity of a polymer: (a) Fit the second-order model. (b) Perform the canonical... An ideal vapor-compression refrigeration cycle using refrigerant-134a as the working fluid is used to cool a brine solution to 5C. This solution is pumped to various buildings for the purpose of... A mechanism for pushing small boxes from an assembly line onto a conveyor belt is shown with arm OD and crank CB in their vertical positions. The crank revolves clockwise at a constant rate of 1... Redo Problem 48 with the restriction that the next weeks production is set to zero if the inventory exceeds 40 carts. Problem 48 A certain company manufactures and sells golf carts. At the end of... A batter hits the baseball A with an initial velocity of v 0 = 100 ft/sec directly toward fi elder B at an angle of 30 to the horizontal; the initial position of the ball is 3 ft above ground level.... The crate is on the ground and is to be hoisted using the three slings shown. Replace the system of forces acting on the slings by an equivalent resultant force and couple moment at point O. The... You are trying to evaluate whether an existing, idle distillation column can be used for a separation for which it was not originally designed. Answer the following questions about this column: a.... Two satellites B and C are in the same circular orbit of altitude 500 miles. Satellite B is 1000 mi ahead of satellite C as indicated. Show that C can catch up to B by putting on the brakes.... Detection limit. In spectrophotometry, we measure the concentration of analyte by its absorbance of light. A low-concentration sample was prepared, and nine replicate measurements gave absorbances of... Consider a binary mixture for which the excess Gibbs energy is given by G E /RT = 2.6x 1 x 2 . For each of the following overall compositions, determine whether one or two liquid phases will be... The apparatus in the figure can follow the course of an EDTA titration and was used to generate the curves in Figure 11-10. The heart of the cell is a pool of liquid Hg in contact with the solution... The positions of point A on the flag pole and point B on the light have been measured relative to the electronic distance meter at O. Determine the distance between A and B. B x 50 138 ft 20 232 ft... Solve Prob. 6.42 using the following values: Q = 0.30 m 3 /s, D 1 = 30 cm, and D 2 = 10 cm. ( = 1000 kg/m 3 .) Data from Prob. 6.42 Water (at 50F) flows through this nozzle at a rate of 25 cfs and... The slender bar is moving in general plane motion with the indicated linear and angular properties. Locate the instantaneous center of zero velocity and determine the velocities of points A and B.... The clockwise angular velocity of the link AB is 2 rad/s. Determine the angular velocity of the connecting links BC and CD at the instant shown. C - 4 in.- A WAB = 2 rad/s 90 45 5 in. 45 B D 3 in. Determine the maximum weight of the crate that can be suspended from cables AB, AC, and AD so that the tension developed in any one of the cables does not exceed 250 lb. 2 ft3 CG 3 ft 4 ft 3 ft How much work, in kJ, can a spring whose spring constant is 3 kN/cm produce after it has been compressed 3 cm from its unloaded length? An unknown sample of Ni 2+ gave a current of 2.36 A in an electrochemical analysis. When 0.500 mL of solution containing 0.028 7 M Ni 2+ was added to 25.0 mL of unknown, the current increased to 3.79... The tie rods from anchored sheet piles will be connected using a row of anchors, as shown in Figure 18.46a. Here H = 2.0 m, h = 1.25 m, B = 1.5 m, S' = 2.5 m, ' = 32, and = 17.5 kN/m 3 . The anchor... Repeat Prob. 1479 for a total pressure of 88 kPa for air. Data From Repeat Prob. 1479: Air enters a 40-cm-diameter cooling section at 1 atm, 32C, and 70 percent relative humidity at 120 m/min. The... If a vertical force of 2.5 kN is applied to the hook at A, determine the tension in each of the three cables for equilibrium. Set d = 1 m. X B 3 m 1.5 m A (P Pasazanmar F = 2.5 KN 3 m 1 m D 0.75 m y The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever. Through this arrangement, a small weight can... Determine the dimension h of the block so that the centroid C of the assembly lies at the base of the cylinder as shown. 6 in. 6 in. h- C 5 in. 2 in, X The bent rod has a mass of 4 kg m. Determine the moment of inertia of the rod about the OA axis. N 0.6 m 1.2 m X a A T 0.4 m Consider a charge distribution (r) in rigid, uniform motion with velocity . (a) Show that the magnetic field produced by this system is B(r) = (/c 2 ) E, where E(r) is the electric field produced by... The water table at a site is at 5 m below the ground level, and it is required to excavate to this level. The soil profile consists of a thick bed of sand where the unit weight is 17.0 kN/m 3 above... Four pesticides used in dormant California orchards are chlorpyrifos, diazinon, methidathion, and parathion. Environmental Science & Technology (Oct. 1993) reported the number of applications of... The figure shows two fixed-potential capacitors filled with equal amounts of two different types of simple dielectric matter. Use the stress tensor method to compare the force per unit area which... The propeller in Prob. 9.1 is replaced with a six-blade turbine 400 mm in diameter, and the fluid to be agitated is a pseudoplastic power law liquid having an apparent viscosity of 15 P when the... Describe how you would prepare approximately 2 L of 0.050 0 m boric acid, B(OH) 3 . Water saturated with air at 20C is passed through hydrophobic hollow fibers at 50 cm/s. The fibers are 1 m long with an inner diameter of 500 m, and vacuum is applied on the outside to remove oxygen... Determine the minimum force P to prevent the 30-kg rod AB from sliding. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is s = 0.2. P... Locate the centroid y of the area. 2. x- 4 in. -8 in.- A 1.33-cm-diameter metal bar with a 3-cm gage length (l 0 ) is subjected to a tensile test. The following measurements are made in the plastic region: Determine the strain-hardening coefficient for... The P&ID shown in Figure P1.31 is for the feed section of a process in which a feed enters a tank and then is pumped through one of two pumps placed in parallel. The liquid then passes through a... Research the material Inconel, briefly described in Table A5. Compare it to various carbon and alloy steels in stiffness, strength, ductility, and toughness. What makes this material so special? Draw the free-body diagram for the following problems. a) The beam in Prob. 553. b) The brake pedal Prob. 554. c) The exercise machine Prob. 555. d) The hatch door in Prob. 558. B Consider a sphere in a hypersonic flow. Using newtonian theory, show that the drag coefficient based on cross-sectional area is equal to 1 . The 20 ft wide rectangular channel shown has three different reaches. S 0 , 1 = 0.01; S 0 , 2 = 0.0004; S 0 , = 0.00317; Q = 500 cfs; n 1 = 0.015; normal depth for reach 2 is 5.4 ft and that for... Complete a failure mode effect analysis for the nitric acid plant reactor section described in Example 9.2. (This is best carried out as a group activity with a group size of three to six). Data from... A slab of polymer 1.6 cm thick, originally at 30C, is heated between steel plates with a surface temperature of 70C. The density of the solid is 950 kg/m 3 , its thermal conductivity is 0.12 W/m K,... The cable is subjected to the parabolic loading w = 200(1 - (x/50 2 ) lb/ft, where x is in ft. Determine the equation y = f(x) which defines the cable shape AB, and the maximum tension in the cable.... A rope or hinged-link bicycle-type chain of length L and mass per unit length is released from rest with x = 0. Determine the expression for the total force R exerted on the fixed platform by the... An overhanging beam ABC supports a concentrated load P at the end of the overhang. Span AB has length L, and the overhang has length a. Determine the deflection dC at the end of the overhang. A -7 L-... The member is supported by a pin at A and cable BC. Determine the components of reaction at these supports if the cylinder has a mass of 40 kg. X D 1 m I'm C 0.5 m B A 3 m 1m Draw the free-body diagram for the following problems. a) The rod in Prob. 544. b) The hand truck and load when it is lifted in Prob. 545. c) The beam in Prob. 547. d) The boom frame in Prob. 552. k... Steam at 700 bar and 600 C is withdrawn from a steam line and adiabatically expanded to 10 bar at a rate of 2 kg/min. What is the temperature of the steam that was expanded, and what is the rate of... In a detergent making process, 1400 gal/hr of water flows through a 2-inch pipe system as follows: Exit from pump, 2 ft vertical, open gate valve, 14 ft vertical, 90 bend, 12 ft horizontal, open... The pendulum consists of a 2-kg disk, and slender rods AB and DC which have a mass per unit length of 2 kg/m. Determine the length L of DC so that the center of mass is at the bearing O. What is the... Static pressure P is measured at two locations along the wall of a laminar boundary layer (Fig. P1087). The measured pressures are P 1 and P 2 , and the distance between the taps is small compared to... Reactants A and B combine to form product P in the vapor phase reaction: A + B P But a side reaction also occurs, forming by-product U: 2A U The Gibbs free energy and enthalpy of each compound at T... One method of removing acetone from cellulose acetate is to blow an airstream over the cellulose acetate fibers. To know the properties of the air-acclone mixtures. the process control department... Determine the total bare-module cost for the flowsheet in Figure 16.21 at ambient temperature and pressure. Use \(\mathrm{CE}=600\). Design Specifications Pumps: reciprocating, motor driven, 25 psia... Reactant A decomposes with stoichiometry AR and with rate dependent only on C A . The following data on this aqueous decomposition are obtained in a mixed flow reactor: Determine which setup, plug... The uniform arm OA has a mass of 4 kg, and the gear D has a mass of 5 kg with a radius of gyration about its center of 64 mm. The large gear B is fixed and cannot rotate. If the arm and small gear... Derivatives of exp(ik r) Let A(r) = c exp(ik r) where c is constant. Show that, in every case, the replacement ik produces the correct answer for A, A, ( A), ( A), and 2 A. A rod AB, hinged at A and attached at B to cable BD, supports the loads shown. Knowing that d = 150 mm, determine (a) The tension in cable BD, (b) The reaction at A. Ao -d- 90 N Do 90 N -100 mm 100... In the manufacture of aniline from nitrobenzene, the reactor products are condensed and separated into aqueous and organic phases in a decanter. The organic phase is fed to a striping column to... Develop a fault tree for events that could lead to release of benzene to the atmosphere for the distillation section designed in problem 9.5. Data from problem 9.5 A distillation column separates... Three continuous foundations are shown in Figure P6.15. For each of them, what values would you use for their eccentricity and inclination in the bearing capacity calculations? Figure P6.15. |500... Use MATLAB and the Symbolic Math Toolbox to find the Laplace transform of the following time functions: a. f (t) = 8t 2 cos (3t + 45) b. f (t) = 3te -2t sin (4t + 60) 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... A storage tank is connected to a pond (at atmospheric pressure!) by a length of 3-in pipe and two gate valves. From previous operating experience, it has been found that when the tank is at a... Repeat Problem 20 in Chapter 1, using Laplace transforms. Assume that the forcing functions are zero prior to t = 0-. Data From Problem 20 in Chapter 1: Solve the following differential equations... The 200-kg satellite has a radius of gyration about the centroidal z axis of k z = 1.25 m. Initially it is rotating with a constant angular velocity of 0 = {1500 k} rev/min. If the two jets A and B,... A point load of 500 kN is applied on an elastic medium with Poissons ratio of 0.2. Compare the vertical stress increase at the following locations as determined by the Boussinesq ( B ) and... The 10-lb hoop or thin ring is given an initial angular velocity of 6 rad/s when it is placed on the surface. If the coefficient of kinetic friction between the hoop and the surface k = 0.3, is... Determine the moment of inertia of the half-ring of mass m about its diametral axis a-a and about axis b-b through the midpoint of the arc normal to the plane of the ring. The radius of the circular... In the four-bar mechanism shown in Fig.3.8, the lengths of the various links are: \(A B=190 \mathrm{~mm}\), \(B C=C D=280 \mathrm{~mm}, A D=500 \mathrm{~mm}, \angle B A D=55^{\circ}\). The crank \(A... The woman A, the captain B, and the sailor C weigh 120, 180, and 160 lb, respectively, and are sitting in the 300-lb skiff, which is gliding through the water with a speed of 1 knot. If the three... Determine the reactions at the roller B, the rocker C, and where the beam contacts the smooth plane at A. Neglect the thickness of the beam. 3 5 + A 4 m 500 N B -2 m- 800 N 60 -6 m- C The crate of mass m is supported on a cart of negligible mass. Determine the maximum force P that can be applied a distance d from the cart bottom without causing the crate to tip on the cart. P d... The 10-kg lamp has a center of mass at G. Determine the horizontal and vertical components of reaction at A, and the force in the cable BC. 0.3 m 0.4 m 0.15 m A B -0.5 m- *G 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}}... The motor whose torque-speed characteristics are shown in Figure P2.31 drives the load shown in the diagram. Some of the gears have inertia. Find the transfer function, G(s) = 2 (s)=E a (s). N1 = 10... Draw the shear and moment curves for each member of the frame in Figure P5.44. Sketch the deflected shape. Treat the shear plate connection at \(B\) as a hinge. 45 kips B A w = 4 kips/ft 6" C DIA 8' Consider the following system in Figure P18-16C used to model a real reactor: The figure shows a tubular reactor of volume V subscript 1 and another cylindrical reactor of volume V subscript 2. The... Repeat Example 3.3, but assume that the ammonia, air, and water are brought into contact in a closed container. There is $10.0 \mathrm{~m}^{3}$ of gas space over the liquid. Assuming that the... Some scientists believe that the collision of one or more large asteroids with the Earth was responsible for the extinction of the dinosaurs. The unit of kiloton is used to describe the energy... The pendulum consists of a plate having a weight of 12 lb and a slender rod having a weight of 4 lb. Determine the radius of gyration of the pendulum about an axis perpendicular to the page and...
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