Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 14.3, Problem 9P
The “air spring” A is used to protect the support B and prevent damage to the conveyor-belt tensioning weight C in the event of a belt failure D. The force developed by the air spring as a function of its deflection is shown by the graph. If the block has a mass of 20 kg and is suspended a height d = 0.4 m above the top of the spring, determine the maximum deformation of the spring in the event the conveyor belt fails. Neglect the mass of the pulley and belt.
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If spring is found to extend 20mm for each 2kg of mass, the defelaction of spring carrying a mass of 10kg is
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B)1m
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How much work is done by the force in the spring when the slender rod rotates clockwise about the fixed pin support at O from the vertical position (where AB is horizontal) to the horizontal position? The spring has a stiffness of k = 125 N/m and an unstretched length of 0.15 m. Take d1= 0.29 m and d2= 0.85 m. Choose the correct answer.
a) 94.9 Joule
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A two degrees of freedom mass spring system is fixed at one end, where independent masses can move only in the vertical direction. Considering the system as finite elements, determine the vertical displacement for each mass. Also draw the free body diagram of this system.
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Where,
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Chapter 14 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 14.3 - Determine the work of the force when it displaces...Ch. 14.3 - Determine the kinetic energy of the 10-kg block.Ch. 14.3 - Prob. 1FPCh. 14.3 - If the motor exerts a constant force of 300 N on...Ch. 14.3 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14.3 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14.3 - When s = 0.5 m, the spring is unstretched and the...Ch. 14.3 - The 5-lb collar is pulled by a cord that passes...Ch. 14.3 - The 20-kg crate is subjected to a force having a...Ch. 14.3 - Prob. 2P
Ch. 14.3 - The crate, which has a mass of 100 kg, is...Ch. 14.3 - The 100-kg crate is subjected to the forces shown....Ch. 14.3 - Determine the required height h of the roller...Ch. 14.3 - When the driver applies the brakes of a light...Ch. 14.3 - Prob. 7PCh. 14.3 - Prob. 8PCh. 14.3 - The air spring A is used to protect the support B...Ch. 14.3 - The force F, acting in a constant direction on the...Ch. 14.3 - The force of F= 50 N is applied to the cord when s...Ch. 14.3 - Design considerations for the bumper B on the 5-Mg...Ch. 14.3 - The 2-lb brick slides down a smooth roof, such...Ch. 14.3 - Block A has a weight of 60 lb and block B has a...Ch. 14.3 - The two blocks A and B have weights WA = 60 lb and...Ch. 14.3 - A small box of mass m is given a speed of v=14gr...Ch. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - If the cord is subjected to a constant force of F=...Ch. 14.3 - The crash cushion for a highway barrier consists...Ch. 14.3 - Prob. 21PCh. 14.3 - The 25-lb block has an initial speed of v0 = 10...Ch. 14.3 - The 8-Kg block is moving with an initial speed of...Ch. 14.3 - At a given instant the 10-lb block A is moving...Ch. 14.3 - Prob. 25PCh. 14.3 - The catapulting mechanism is used to propel the...Ch. 14.3 - Prob. 27PCh. 14.3 - The 1 0-lb box falls off the conveyor belt at...Ch. 14.3 - Prob. 29PCh. 14.3 - The 30-lb box A is released from rest and slides...Ch. 14.3 - Prob. 31PCh. 14.3 - The block has a mass of 0.8 kg and moves within...Ch. 14.3 - The 10-lb block is pressed against the spring so...Ch. 14.3 - The spring bumper is used to arrest the motion of...Ch. 14.3 - When the 150-lb skier is at point A he has a speed...Ch. 14.3 - The spring has a stiffness k = 50 lb/ ft and an...Ch. 14.3 - Prob. 37PCh. 14.3 - If the 60-kg skier passes point A with a speed of...Ch. 14.3 - Prob. 39PCh. 14.3 - Prob. 40PCh. 14.3 - Prob. 41PCh. 14.4 - If the contact surface between the 20-kg block and...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - The jeep has a weight of 2500 lb and an engine...Ch. 14.4 - Determine the power Input for a motor necessary to...Ch. 14.4 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14.4 - Prob. 45PCh. 14.4 - To dramatize the loss of energy in an automobile,...Ch. 14.4 - Escalator steps move with a constant speed of 0.6...Ch. 14.4 - Prob. 48PCh. 14.4 - Prob. 49PCh. 14.4 - Determine the power output of the draw-works motor...Ch. 14.4 - The 1000-lb elevator is hoisted by the pulley...Ch. 14.4 - The 50-lb crate is given a speed of 10ft/s in t =...Ch. 14.4 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14.4 - Prob. 54PCh. 14.4 - Prob. 55PCh. 14.4 - The 10-lb collar starts from rest at A and is...Ch. 14.4 - Prob. 57PCh. 14.4 - The 50-lb block rests on the rough surface for...Ch. 14.4 - The escalator steps move with a constant speed of...Ch. 14.4 - If the escalator in Prob.14-46 is not moving,...Ch. 14.4 - Prob. 61PCh. 14.4 - Prob. 62PCh. 14.4 - Prob. 63PCh. 14.4 - Prob. 64PCh. 14.5 - The block has a mass of 150 kg and rests on a...Ch. 14.5 - Prob. 3PPCh. 14.5 - Prob. 4PPCh. 14.5 - The 2-kg pendulum bob is released from rest when...Ch. 14.5 - Prob. 14FPCh. 14.5 - Prob. 15FPCh. 14.5 - Prob. 16FPCh. 14.5 - The 75-lb block is released from rest 5 ft above...Ch. 14.5 - Prob. 18FPCh. 14.5 - The girl has a mass of 40 kg and center of mass at...Ch. 14.5 - The 30-lb block A is placed on top of two nested...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The ball has a weight of 15 lb and is fixed to a...Ch. 14.5 - Prob. 71PCh. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The assembly consists of two blocks A and B which...Ch. 14.5 - Prob. 75PCh. 14.5 - Prob. 76PCh. 14.5 - The roller coaster car having a mass m is released...Ch. 14.5 - The spring has a stiffness k = 200 N/m and an...Ch. 14.5 - Prob. 79PCh. 14.5 - Prob. 80PCh. 14.5 - When s = 0, the spring on the firing mechanism is...Ch. 14.5 - If the mass of the earth is Me, show that the...Ch. 14.5 - A rocket of mass m is fired vertically from the...Ch. 14.5 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14.5 - Prob. 85PCh. 14.5 - The skier starts from rest at A and travels down...Ch. 14.5 - Prob. 87PCh. 14.5 - Prob. 88PCh. 14.5 - When the 6-kg box reaches point A it has a speed...Ch. 14.5 - Prob. 90PCh. 14.5 - Prob. 91PCh. 14.5 - The roller coaster car has a speed of 15 ft/s when...Ch. 14.5 - The 10-kg sphere C is released from rest when =...Ch. 14.5 - Prob. 94PCh. 14.5 - The cylinder has a mass of 20 kg and is released...Ch. 14.5 - Prob. 96PCh. 14.5 - A pan of negligible mass is attached to two...Ch. 14.5 - Prob. 1CPCh. 14.5 - Prob. 1RPCh. 14.5 - The small 2-lb collar starting from rest at A...Ch. 14.5 - Prob. 3RPCh. 14.5 - Prob. 4RPCh. 14.5 - Prob. 5RPCh. 14.5 - Prob. 6RPCh. 14.5 - Prob. 7RPCh. 14.5 - Prob. 8RP
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