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Determine the force in members KJ, KD, and CD of the Pratt truss and state if the members are in tension or compression. 3 m K B C D E H F -2 m--2 m--2 m--2 m--2 m--2 m- 20 KN 30 kN 40 kN G Determine the force in each member of the truss and state if the members are in tension or compression. Set P 1 = 8 kN, P 2 = 10 kN. AQ P -2 m- D P B C 2 m Determine the force in each member of the truss. State if the members are in tension or compression. 600 16 450 lb YE A -3 ft- D B 30 -3 ft Determine the greatest load P that can be applied to the truss so that none of the members are subjected to a force exceeding either 2 kN in tension or 1.5 kN in compression. A C 60 60 -3 m- Prob.... Determine the moment of each of the three forces about point A. F=250 N 30% A -2 m- -3 m B F = 300 N 60 4'm 5 F3 = 500 N An antenna located at the origin has a far-zone electric field as (a) Obtain the corresponding H s field. (b) Determine the power radiated. (c) What fraction of the total power is radiated in the... Determine the radius of gyration k y of the parabolic area. 160 mm y -y=0.1(1600-x) 40 mm X Determine the moment of inertia I y of the shaded area about the y axis. 150 mm 150 mm O -100 mm-+-1 |- 100 mm-|-150 mm - 75 mm X 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 12 kN.m -3 m- 4 kN C 3 m- B The bent rod is supported at A, B, and C by smooth journal bearings. Compute the x, y, z components of reaction at the bearings if the rod is subjected to forces F 1 = 300 lb and F 2 = 250 lb. F 1... Determine the weight of the wedge which is formed by rotating a right triangle of base 6 in. and height 3 in. through an angle of 30. The specific weight of the material is = 0.22 lb/in 3 . 6 in. 30... The load can be supported by two boys when the cord is suspended over the pipe (a half-turn). If each boy can pull with a force of 125 lb, determine the maximum weight of the load. Can one boy... The 50-lb cylinder is attached to a cord which passes over the fixed drum. If the coefficient of static friction at the drum is s = 0.3, determine the maximum force P that can be applied to the... Determine the minimum tension in the rope at points A and B which is necessary to maintain equilibrium. The coefficient of static friction between the rope and the fixed post D is s = 0.3. The rope... Determine the force P that must be applied to the handle of the lever so that the wheel is on the verge of turning if M = 300 N m. The coefficient of static friction between the belt and the wheel... The hand clamp is constructed using a square-threaded screw having a mean diameter of 36 mm, a lead of 4 mm, and a coefficient of static friction at the screw ofThe hand clamp is constructed using a... A cone is attached to the hemisphere. If both pieces have the same density, determine the height h of the cone if the configuration is to be in neutral equilibrium. 3 ft h Express the following in terms of r, , and : ar ar a 20 When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.3t) ft/s, where t is in seconds and t = 0 at A. If he starts from rest at A, determine the... When t = 0, the train has a speed of 8 m/s, which is increasing at 0.5 m/s 2 . Determine the magnitude of the acceleration of the engine when it reaches point A, at t = 20 s. Here the radius of... a. Let (e1, e2, e2) be unit vectors of a right-handed, orthogonal coordinate system. Showthat the Levi-Civit`a symbol satisfies b. Prove that c. Prove that: d. In quantum mechanics, the Cartesian... The pitching machine is adjusted so that the baseball is launched with a speed of v A = 30 m/s. If the ball strikes the ground at B, determine the two possible angles A at which it was launched. 1.2... Molecules adsorbed on the surface of a solid crystal surface at low temperature typically arrange themselves into a periodic arrangement, e.g., one molecule lies at the center of each a a square of... The parallel plates of a microchannel plate electron multiplier are segmented into conducting strips of width b so the potential can be fixed on the strips at staggered values. We model this using... The truck has a mass of 1.25 Mg and a center of mass at G. Determine the greatest load it can move if (a) the truck has rear-wheel drive while the front wheels are free to roll, and (b) the truck has... The disk rolls without slipping such that it has an angular acceleration of = 4 rad/s 2 and angular velocity of = 2 rad/s at the instant shown. Determine the acceleration of points A and B on the... The center of the wheel is moving to the right with a speed of 2 ft/s. If no slipping occurs at the ground, A, determine the velocity of points B and C. 1.5 ft C A 30 2 ft/s B The uniform slender rod has a mass of 5 kg. If the cord at A is cut, determine the reaction at the pin O, (a) When the rod is still in the horizontal position, and (b) When the rod swings to the... A uniform plate has a weight of 50 lb. Link AB is subjected to a couple moment of M = 10 lb ft and has a clockwise angular velocity of 2 rad/s at the instant = 30. Determine the force developed in... The door has a weight of 200 lb and a center of gravity at G. Determine the constant force F that must be applied to the door to push it open 12 ft to the right in 5 s, starting from rest. Also, find... The slender rods have a weight of 3 lb/ft Determine the moment of inertia of the assembly about an axis perpendicular to the page and passing through point A. A -1.5 ft 1.5 ft 2 ft 1 ft The uniform bar AB has a mass of 12 kg and is pin connected at A. If the support at B is remove ( = 90), determine the velocity of the 5-kg block C at the instant the bar rotates downward to = 150.... The 25-lb slender rod AB is attached to spring BC which has an unstretched length of 4 ft. If the rod is released from rest when = 30, determine its angular velocity at the instant = 90. C 4 ft k =... A uniform ladder having a weight of 30 lb is released from rest when it is in the vertical position. If it is allowed to fall freely, determine the angle at which the bottom end A starts to lift off... The 2-kg disk is thrown down onto the rough surface with the velocity and angular velocity shown. If there is no slipping, and the coefficient of restitution is e = 0.5, determine the velocity of the... The global robot industry is growing rapidly A typical industrial robot has multiple degrees of freedom. A unity feedback position control system for a force-sensing joint has a loop transfer... In the figure for Problem 13-35, pinion 2 is to be a right-hand helical gear having a helix angle of 30, a normal pressure angle of 20, 16 teeth, and a normal diametral pitch of 6 teeth/in. A motor... Your company asks you, the process engineer, to estimate the rate at which energy is transferred as heat through a steam turbine casing. This turbine operates with an inlet pressure of 16 bar and an... An open office room holds 50 employees, each dissipating 430 kJ of energy as heat per hour. In addition, twenty 80 W light bulbs are all left on at all times. Calculate how many 6 kW air-conditioning... Consider a pistoncylinder assembly containing 0.12 kg of superheated steam at 700 kPa and 800 K (state 1). Energy is removed from the steam by heat transfer until a temperature of 400 K is reached... Knowing that at the instant shown bar DE has an angular velocity of 20 rad/s clockwise and an angular acceleration of 5 rad/s 2 counterclockwise, determine in the position shown (a) The angular... Carbon dioxide at P 1? and T 1 is contained inside a piston?cylinder. It undergoes polytropic compression according to the process equation PVn = constant.? a. Derive the formula for the energy... Determine the force in each member of the truss and state whether it is in tension or compression. 2k A D 6 ft B 8 ft Prob. F3-4 Estimate the capital cost of a plant that produces 80,000 metric tons per year of caprolactam. Given that what is the relation between the rates of formation and disappearance of the three reaction components? 1/1/0 = NO5, 2 2NO + On typical summer days, field crickets nibble, jump, and chirp now and then. But at a night when great numbers congregate, chirping seems to become a serious business and tends to be in unison. In... You just borrowed $250,000 to purchase a new house. The nominal interest rate is 6% p.a., compounded monthly, and the monthly payment is $1612 for the loan. What is the duration of the loan? A 60-Hz, three-phase, four-pole induction motor delivers full load torque at 3% slip. If the load torque rises by 20% (overload condition), determine the new speed. Find the mutual reactance X M for the coupled circuit of Fig. 14-44, if the average power in the 5- resistor is 45.24 W. 70.7/0 V www 4 2 j5 jXM j10 2 5 a. Example 8-1: Trambouze Reactions Wolfram 1. Fix k 2 at 0.015 and then describe how the selectivity varies with k 1 and k 3 . 2. Write a conclusion about your experiments. Polymath 3. What would... A member having the dimensions shown is used to resist an internal bending moment of M = 90 kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown),... A nuclear submarine cruises fully submerged at 27 knots. The hull is approximately a circular cylinder with diameter \(D=11.0 \mathrm{~m}\) and length \(L=107 \mathrm{~m}\). Estimate the percentage... When coal is burned to form synthesis gas (syngas), which contains mostly CO, H 2 , H 2 S, and CO 2 , the H 2 S must be removed. The gas is called syngas because H 2 and CO are the building blocks... From experimental data it is known that at moderate pressures the volumetric equation of state may be written as where the virial coefficient B is a function of temperature only. Data for nitrogen... A Rankine power generation cycle is operated with water as the working fluid. It is found that 100 MW of power is produced in the turbine by 89 kg/s of steam that enters the turbine at 700 C and 5... For the reaction system: \[\begin{aligned}& \mathrm{A}+\mathrm{B} \xrightarrow{k_{1}} \mathrm{C}+\mathrm{A} \xrightarrow{k_{3}} \mathrm{E} \\& \bigvee_{2} \mathrm{D}+\mathrm{A} earrow\end{aligned}\]... Determine the angular velocity of the follower 3 and the velocity of sliding at the point of contact in Fig.2.17(a). The speed of driver link 2 is \(3 \mathrm{rad} / \mathrm{s}\). 3 30 Az As 30 50 M... Spreadsheet for standard deviation. Lets create a spreadsheet to compute the mean and standard deviation of a column of numbers in two different ways. The spreadsheet here is a template for this... Controlling the appearance of a graph. Figure 3-3 requires gridlines to read buret corrections. In this exercise, you will format a graph so that it looks like Figure 3-3. Follow the procedure in... Use Table 4-1 for this exercise. Suppose that the mileage at which 10000 sets of automobile brakes had been 80% worn through was recorded. The average was 62700, and the standard deviation was 10 400... (a) From Kw in Table 6-1, calculate the pH of pure water at 0, 20, and 40C. (b) For the reaction D 2 O D + + OD - , K = [D + ][OD - ] =1.35 10 -15 at 25C. In this equation, D stands for deuterium,... What is the pH of a solution prepared by dissolving 1.23 g of 2-nitrophenol (FM 139.11) in 0.250 L? Calculate the activity coefficient of Al 3+ when = 0.083 M by linear interpolation in Table 7-1. Table 7-1 Ion size Ionic strength (p. M) Ion (a, pm) 0.001 0.005 0.01 0.05 0.1 Charge = +1 H*... Select indicators from Table 10-3 that would be useful for the titrations in Figures 10-1 and 10-2 and the pK a = 8 curve in Figure 10-3. Select a different indicator for each titration and state... What color do you expect to observe for cresol purple indicator (Table 10-3) at the following pH values? (a) 1.0; (b) 2.0; (c) 3.0 Table 10-3 Acid color Transition Base Indicator range (pH) color... Select indicators from Table 10-3 that would be useful for the titrations in Figures 10-1 and 10-2 and the pK a = 8 curve in Figure 10-3. Select a different indicator for each titration and state... What color do you expect to observe for cresol purple indicator (Table 10-3) at the following pH values? (a) 1.0; (b) 2.0; (c) 3.0 Table 10-3 Acid color Transition Base Indicator range (pH) color... Cresol red has two transition ranges listed in Table 10-3. What color would you expect it to be at the following pH values? (a) 0; (b) 1; (c) 6; (d) 9 Table 10-3 Acid color Transition Base Indicator... (a) If a diffraction grating has a resolution of 10 4 , is it possible to distinguish two spectral lines with wavelengths of 10.00 and 10.01 m? (b) With a resolution of 10 4 , how close in... Imagine you are tasked with designing a single dishwasher for both the European and American markets. Determine a set of global, social, environmental, and economic issues you would have to consider... A structure known as a cantilever beam is clamped at one end but free at the other, analogous to a diving board that supports a swimmer standing on it (Figure P3.28). Using the following procedure,... For the data in Problem P3.41, prepare a graph that charts the relationship between the modulus of elasticity ( y-axis) and unit weight (x axis) using the USCS unit system data. Explain the resulting... The cylindrical coordinate robot on a factorys assembly line is shown in a top view (Figure P4.2). The 50-N force acts on a workpiece being held at the end of the robots arm. Express the 50-N force... Resulting from a light wind, the air pressure imbalance of 100 Pa acts across the 1.2-m by 2-m surface of the highway sign (Figure P4.11, see on page 172). (a) Calculate the magnitude of the force... A circular rod of length 25 cm and diameter 8 mm is made of 1045 grade steel. (a) Calculate the stress and strain in the rod, and its extension, when it is subjected to 5 kN of tension. (b) At what... An 8-mm-diameter aluminum rod has lines scribed on it that are exactly 10 cm apart (Figure P5.9, see on page 228). After a 2.11-kN force has been applied, the separation between the lines has... The tires of the 4555-lb sedan are 6.5 in. wide (Figure P5.10). Each tire contacts the ground over a distance of 4.25 in. as measured along the vehicles length. Calculate the compressive stress... (a) A 1.5-mm-diameter steel sphere (7830 kg/m 3 ) is dropped into a tank of SAE 30 oil. What is its terminal velocity? (b) If the sphere is instead dropped into a different oil of the same density... Compound lever shears cut through a piece of wire at A (Figure P5.32). (a) By using the free body diagram of handle CD, determine the magnitude of the force at rivet D. (b) Referring to the magnifi... Using the volcanic flow model and flow parameters from Problem P6.20, prepare two charts. (a) On one chart, plot the flow velocity in mph as a function of the slope, varying the slope from 08 to 908.... A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure P20. The enclosure is to be built to have an area A of 1600 ft 2 . The cost of... A fence around a field is shaped as shown in Figure P12. It consists of a rectangle of length L and width W, and a right triangle that is symmetrical about the central horizontal axis of the... Many applications require us to know the temperature distribution in an object. For example, this information is important for controlling the material properties, such as hardness, when cooling an... A granular soil with G s = 2.65, e max = 0.870, and e min = 0.515 is compacted to a moist unit weight of 17.36 kN/m 3 at moisture content of 10.5%. What is the relative density of this compacted sand? Oscillations in mechanical structures and electric circuits can often be described by the function where t is time and ( is the oscillation frequency in radians per unit time. The oscillations have a... The following equation describes the temperature T(t) of a certain object immersed in a liquid bath of constant temperature T b . Suppose the objects temperature is initially T(0) = 70F and the bath... The following equation describes the motion of a certain mass connected to a spring, with viscous friction on the surface where f(t) is an applied force. Suppose that f (t) = 0 for t + 0 and f (t) =... The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is Suppose that g = 9.81 m/s 2 , L " 1 m, and (0) = 0. Plot ,(t) for 0 t 10 s for the... Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A, and the component acting along member BC is 500 lb, directed from B towards C. Determine... If FB = 3kN and = 45, determine the magnitude of the resultant force of the two tugboats and its direction measured clockwise from the positive x axis. F= 2 kN 30 FB B. Determine the x and y components of each force acting on the gusset plate of a bridge truss. Show that the resultant force is zero. F = 6 kN F = 8 kN 888 F = 4 kN F, = 6 kN 888 888 Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. F2 = 26 kN 1213 5 30 F, = 30 kN Following is the variation of the field standard penetration number (N 60 ) in a sand deposit: Depth (m) .............. N 60 1.5 ............................. 6 3 ................................ 8... Refer to Problem 3.5. Using Eq. (3.22), determine the average relative density of the sand. Problem 3.5 Following is the variation of the field standard penetration number (N 60 ) in a sand deposit:... The tower crane is used to hoist the 2-Mg load upward at constant velocity. The 1.5-Mg jib BD, 0.5-Mg jib BC, and 6-Mg counterweight C have centers of mass at G1 , G2 , and G3 , respectively.... If the 1500-lb boom AB, the 200-lb cage BCD, and the 175-lb man have centers of gravity located at points G 1 , G 2 and G 3 , respectively, determine the resultant moment produced by each weight... If the resultant couple of the three couples acting on the triangular block is to be zero, determine the magnitude of forces F and P. -F F 150 N B 300 mm 500 mm 600 mm 150 N -P -400 mm The man tries to open the valve by applying the couple forces of F = 75 N to the wheel. Determine the couple moment produced. -150 mm -150 mm Determine the magnitude of F so that the resultant couple moment is 12 kNm, counterclockwise. Where on the beam does the resultant couple moment act? -F F 30 30 8 kN 0.3 m 1.2 m 0.4 m- 8 kN Two couples act on the beam as shown.If F = 150 lb, determine the resultant couple moment. 200 Ib 1.5 ft 200 lb F 4 ft
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