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Engineering Mechanics: Dynamics, Instructor-Solutions Manual [EXP-788]

1142 SOLVED PROBLEMS

A particle moves in a straight line with the velocity shown in the figure. Knowing that 540 mx=− at t= 0, (a) construct the at− and xt− curves for 050 s,t<< and determine (b) the maximum value of the position coordinate of the particle, (c) the values of t for which the particle is at 100 m.x=

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A particle moves in a straight line with the velocity shown in the figure. Knowing that 540 mx=− at t= 0, (a) construct the at− and xt− curves for 0t<<50 s, and determine (b) the total distance traveled by the particle when 50 s,t= (c) the two times at which 0.x=

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A ball bounces on the θ inclined plane such that it rebounds perpendicular to the incline with a velocity vA. Determine the distance R to where it strikes the plane at B.Given : θ = 30 deg , vA = 40 ft/s , g = 32.2ft/s^2

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A ball having a mass M and negligible size moves within a smooth vertical circular slot. If it is released from rest at θ1, determine the force of the slot on the ball when the ball arrives at points A and B. Given: M = 2 kg , θ = 90 deg ,θ1 = 10 deg , r = 0.8 m , g = 9.81 m/s^2

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A ball is thrown onto a rough floor at an angle of θ. If it rebounds at the same angle φ , determine the coefficient of kinetic friction between the floor and the ball. The coefficient of restitution is e. Hint: Show that during impact, the average impulses in the x and y directions are related by

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A ball is thrown onto a rough floor at an angle θ. If it rebounds at an angle φ and the coefficient of kinetic friction is μ, determine the coefficient of restitution e. Neglect the size of the ball. Hint: Show that during impact, the average impulses in the x and y directions are related by Ix

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A ball of mass m and radius r is cast onto the horizontal surface such that it rolls without slipping. Determine the minimum speed vG of its mass center G so that it rolls completely around the loop of radius R + r without leaving the track.

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A ball of weight W is thrown in the direction shown with an initial speed vA. Determine the time needed for it to reach its highest point B and the speed at which it is traveling at B. Use the principle of impulse and momentum for the solution. Given: W = 2 lb , θ = 30 deg , vA =18 ft/s , g

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A bar B of mass M1, originally at rest, is being towed over a series of small rollers. Determine the force in the cable at time t if the motor M is drawing in the cable for a short time at a rate v = kt^2 . How far does the bar move in time t? Neglect the mass of the cable, pulley, and the rollers.

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A baseball is thrown downward from a tower of height h with an initial speed v0. Determine the speed at which it hits the ground and the time of travel. Given: h=50ft g=32.2 ft/s^2 v0 =18 ft/s

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v=\sqrt { { v }_{ 0 }^{ 2 }+2gh } \quad \qu...
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