Engineering Mechanics: Dynamics, Study Pack, Si Edition
14th Edition
ISBN: 9781292171944
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.9, Problem 1RP
If the coefficient of kinetic friction between the belt and a package is μk = 0.2, determine the time needed to bring the package to rest on the belt if the belt is moving in the same direction as the package with a speed v = 1 m/s.
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Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 H
Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz Figure 1: Single-degree-of-freedom system in Problem 1. Please compute the following considering the steady-state response of the SDOF system. Do not consider the transient response unless it is explicitly stated in the question. (a) The natural circular frequency and the natural period of the SDOF. (10 points) (b) The maximum displacement of…
Chapter 15 Solutions
Engineering Mechanics: Dynamics, Study Pack, Si Edition
Ch. 15.2 - Determine the impulse of the force for t = 2 s.Ch. 15.2 - Determine the magnitude of the impulse the ground...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the speed of the 25-kg crate when t = 4...Ch. 15.2 - If the car starts from rest, determine its speed...Ch. 15.2 - The traction force developed at the wheels is FD =...Ch. 15.2 - Determine the impulse of his foot on the ball at...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the average tension in each of the two...Ch. 15.2 - If the uniform beam has a weight of 5000 lb,...
Ch. 15.2 - Determine the magnitude of the net impulse exerted...Ch. 15.2 - If it takes 80 s for the train to increase its...Ch. 15.2 - If they start from rest, determine their speed...Ch. 15.2 - If the impact occurs in 0.06 s, determine the...Ch. 15.2 - The winch delivers a horizontal towing force T to...Ch. 15.2 - If the crate starts from rest and achieves a speed...Ch. 15.2 - To achieve this the 2-kg spike S is fired into the...Ch. 15.2 - If the van has a speed of 20 km/h when t = 0,...Ch. 15.2 - If the speed decreases to 40 km/h in 5 s,...Ch. 15.2 - If it strikes the barrier, determine the...Ch. 15.2 - If the 100 kg crate is originally at rest at t = 0...Ch. 15.2 - From the data shown in the graphs, determine the...Ch. 15.2 - Determine its speed, starting from rest, when t =...Ch. 15.2 - Determine the speed of the crate when t = 3 s and...Ch. 15.2 - If these loadings vary in the manner shown on the...Ch. 15.2 - If the cabinet is initially moving to the left...Ch. 15.2 - The propeller provides the propulsion force F...Ch. 15.2 - Determine the sleds maximum velocity and the...Ch. 15.2 - If the 34-lb crate is originally on the ground at...Ch. 15.2 - If the 34-lb crate is originally at rest on the...Ch. 15.2 - The balloon is rising at a constant velocity of 18...Ch. 15.2 - Prob. 26PCh. 15.2 - Determine the speed of the crate when t = 3 s,...Ch. 15.2 - Determine how high the crate has moved upward when...Ch. 15.2 - As a result of the explosion, the cylinder...Ch. 15.2 - If the carrier is traveling forward with a speed...Ch. 15.2 - If B is moving downward with a velocity (vB)1 = 3...Ch. 15.2 - Prob. 32PCh. 15.2 - The winch delivers a horizontal towing force T to...Ch. 15.2 - It then travels along the trajectory shown before...Ch. 15.2 - Determine the velocity of A after collision if the...Ch. 15.2 - If the cart has a smooth surface and it is...Ch. 15.3 - If the two blocks couple together after collision,...Ch. 15.3 - If the spring is compressed s = 200 mm and then...Ch. 15.3 - If A is stationary and B has a velocity of 15 m/s...Ch. 15.3 - If a 20-kg projectile is fired from the cannon...Ch. 15.3 - Meanwhile a 2-Mg car A is traveling at 15 m/s to...Ch. 15.3 - Determine the distance s the boy reaches up the...Ch. 15.3 - At the same time another car having a mass of 12...Ch. 15.3 - When a 2-g bullet strikes and becomes embedded in...Ch. 15.3 - If he lands on the second fiat car B, determine...Ch. 15.3 - Determine the speed of the block just after the...Ch. 15.3 - Determine the speed of the block just after the...Ch. 15.3 - Determine the distance the block will slide before...Ch. 15.3 - When the toboggan reaches the bottom of the slope...Ch. 15.3 - Determine its speed v2 and its direction 2 when it...Ch. 15.3 - A spring, having a stiffness of k = 60 N/m, is...Ch. 15.3 - Determine the maximum compression of the spring...Ch. 15.3 - They are placed on a smooth surface and the spring...Ch. 15.3 - If they exchange positions, A going to B and then...Ch. 15.3 - If A walks to B and stops, and both walk back...Ch. 15.3 - If someone drives the automobile to the other side...Ch. 15.3 - A 10-kg crate is released from rest at A and...Ch. 15.3 - Block A has a mass of 5 kg and is placed on the...Ch. 15.3 - if the coefficient of kinetic friction between A...Ch. 15.3 - When it reaches the bottom, a spring loaded gun...Ch. 15.3 - If the belt starts from rest and begins to run...Ch. 15.3 - If the 10-g bullet is traveling at 300 m/s when it...Ch. 15.3 - The velocities of A and B before and after the...Ch. 15.3 - If the coefficient of restitution between the...Ch. 15.4 - As it slides down the ramp, it strikes the 80-lb...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - Disk B has a mass of 11 kg and is initially at...Ch. 15.4 - Two disks A and B each have a mass of 1 kg and the...Ch. 15.4 - Disk A has a mass of 250 g and is sliding on a...Ch. 15.4 - After the collision, the car moves with a velocity...Ch. 15.4 - If the coefficient of restitution between the...Ch. 15.4 - The block has a velocity v = 10 m/s when it is s =...Ch. 15.4 - If A and B are rolling forward with velocity v and...Ch. 15.4 - If A and B are rolling forward with velocity v and...Ch. 15.4 - If e = 0.7, determine the velocity of each ball...Ch. 15.4 - If the coefficient of restitution between A and B...Ch. 15.4 - If the coefficient of restitution between A and B...Ch. 15.4 - If ball A is released from rest and strikes ball B...Ch. 15.4 - Determine (a) the velocity at which it strikes the...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - If A is given a velocity of 0, while sphere B is...Ch. 15.4 - Determine the initial velocity vA of the ball and...Ch. 15.4 - Determine the initial velocity vA, the final...Ch. 15.4 - If both disks are moving with the velocities shown...Ch. 15.4 - If both disks are moving with the velocities shown...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - If it rebounds to a height of hl, determine the...Ch. 15.4 - If it makes a direct collision with ball B (e =...Ch. 15.4 - If the coefficient of restitution between the...Ch. 15.4 - If they collide with the initial velocities shown,...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - Determine (a) the velocity at which it strikes the...Ch. 15.4 - The box has a velocity v = 15 ft/s when it is 2 ft...Ch. 15.4 - Prob. 83PCh. 15.4 - If it rebounds at an angle and the coefficient of...Ch. 15.4 - If it rebounds at the same angle = 45 , determine...Ch. 15.4 - lf A strikes B with a velocity (vA)1 = 1.5 m/s as...Ch. 15.4 - If each "stone" is smooth and has a weight of 47...Ch. 15.4 - If each "stone" is smooth and has a weight of 47...Ch. 15.4 - If they have masses mA = 4 kg and mB = 2 kg,...Ch. 15.4 - if cranberries having an e 0.8 are to be...Ch. 15.4 - Prob. 91PCh. 15.4 - Prob. 92PCh. 15.4 - If they are sliding on a smooth horizontal plane...Ch. 15.4 - Determine its angular momentum HO about point O.Ch. 15.4 - Determine its angular momentum Hp about point P.Ch. 15.7 - If a constant tangential force F = 5 N is applied...Ch. 15.7 - If the block starts from rest, determine its speed...Ch. 15.7 - If the system is subjected to a couple moment M =...Ch. 15.7 - If the spheres are subjected to tangential forces...Ch. 15.7 - Determine the angular momentum HO of the 6-lb...Ch. 15.7 - Determine the angular momentum HP of the 6-lb...Ch. 15.7 - Determine the angular momentum HO, of each of the...Ch. 15.7 - Determine the angular momentum Hp, of each of the...Ch. 15.7 - Determine the angular momentum HO of the 3-kg...Ch. 15.7 - Determine the angular momentum Hp of the 3-kg...Ch. 15.7 - If the rod is subjected to a torque M = (t2 + 2) N...Ch. 15.7 - If the helix descends 8 ft for every one...Ch. 15.7 - If the helix descends 8 ft for every one...Ch. 15.7 - If the attached cord is pulled down through the...Ch. 15.7 - If the attached cord is pulled down through the...Ch. 15.7 - The blocks are fixed to the horizontal rods, and...Ch. 15.7 - The particle is placed at the position shown and...Ch. 15.7 - The car starts from rest. The total mass of the...Ch. 15.7 - If the force F on the cord is increased, the bob...Ch. 15.7 - It is attached to a fixed point at A and a block...Ch. 15.7 - If at t = 0, the cable OA is pulled in toward O at...Ch. 15.7 - If the rope is pulled inward with a constant speed...Ch. 15.7 - If the track is flat and banked at an angle of 60,...Ch. 15.7 - If the launch angle at this position is A = 70,...Ch. 15.7 - Prob. 114PCh. 15.9 - If the water has a cross-sectional area of 0.05...Ch. 15.9 - If the fan ejects air with a speed of 14 m/s,...Ch. 15.9 - Prob. 117PCh. 15.9 - Prob. 118PCh. 15.9 - If one-fourth of the water flows downward while...Ch. 15.9 - Water flows through the pipe at A with a velocity...Ch. 15.9 - Prob. 121PCh. 15.9 - Prob. 122PCh. 15.9 - If the locomotive is traveling at a constant speed...Ch. 15.9 - Prob. 124PCh. 15.9 - Prob. 125PCh. 15.9 - The machine discharges the snow through a tube T...Ch. 15.9 - Prob. 127PCh. 15.9 - Prob. 128PCh. 15.9 - It is then divided equally between the two outlets...Ch. 15.9 - Prob. 130PCh. 15.9 - Prob. 131PCh. 15.9 - Prob. 132PCh. 15.9 - Prob. 133PCh. 15.9 - Prob. 134PCh. 15.9 - Prob. 135PCh. 15.9 - Prob. 136PCh. 15.9 - Prob. 137PCh. 15.9 - Prob. 138PCh. 15.9 - Prob. 139PCh. 15.9 - The jet is traveling at a speed of 720 km/h. If...Ch. 15.9 - Prob. 141PCh. 15.9 - Air enters the intake scoops S at the rate of 50...Ch. 15.9 - Prob. 143PCh. 15.9 - Prob. 144PCh. 15.9 - Prob. 145PCh. 15.9 - Prob. 146PCh. 15.9 - Prob. 147PCh. 15.9 - Prob. 148PCh. 15.9 - Prob. 149PCh. 15.9 - If the ball then moves horizontally to the right,...Ch. 15.9 - Prob. 2CPCh. 15.9 - If the coefficient of kinetic friction between the...Ch. 15.9 - The coefficient of kinetic friction between the...Ch. 15.9 - If a horizontal force F is applied such that it...Ch. 15.9 - They are traveling along the track with the...Ch. 15.9 - If the projectile penetrates and emerges from the...Ch. 15.9 - If the collision is perfectly elastic (e = 1),...Ch. 15.9 - If A strikes B with a velocity of (vA)1 = 2 m/s as...Ch. 15.9 - If the frame is subjected to a couple M = (8t2 +...
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