EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 14, Problem 15FP
To determine
The speed of the collar at
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The 5 kg collar is given a downward velocity of 4 m/s when it is at A. If the
spring has an unstretched length of 1 m and a stiffness of k = 20 N/m, determine the velocity
of the collar at s = 1 m.
2 m
4 m
k =20 N/m
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The spring attached to the mass of m = 0.5 kg sliding collar has
a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the
speed of the collar in position A is 4 m/s to the right, determine
the total energy and the speed of the collar in position B. Neglect
friction.
200 m
400 mm
The spring attached to the mass of m = 0. 5 kg sliding collar has
a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the
speed of the collar in position A is 4 m/s to the right, determine
the total energy and the speed of the collar in position B, Neglecet
100 mm
friction.
200
Chapter 14 Solutions
EBK ENGINEERING MECHANICS
Ch. 14 - Prob. 1FPCh. 14 - If the motor exerts a constant force of 300 N on...Ch. 14 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14 - When s = 0.5 m, the spring is unstretched and the...Ch. 14 - The 5-lb collar is pulled by a cord that passes...Ch. 14 - Prob. 2PCh. 14 - The 100-kg crate is subjected to the forces shown....Ch. 14 - Determine the required height h of the roller...Ch. 14 - When the driver applies the brakes of a light...
Ch. 14 - Prob. 7PCh. 14 - The force F, acting in a constant direction on the...Ch. 14 - The 2-lb brick slides down a smooth roof, such...Ch. 14 - The two blocks A and B have weights WA = 60 lb and...Ch. 14 - A small box of mass m is given a speed of v=14gr...Ch. 14 - Prob. 18PCh. 14 - If the cord is subjected to a constant force of F=...Ch. 14 - The crash cushion for a highway barrier consists...Ch. 14 - The 25-lb block has an initial speed of v0 = 10...Ch. 14 - At a given instant the 10-lb block A is moving...Ch. 14 - Prob. 25PCh. 14 - The catapulting mechanism is used to propel the...Ch. 14 - Prob. 27PCh. 14 - Prob. 31PCh. 14 - When the 150-lb skier is at point A he has a speed...Ch. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - If the contact surface between the 20-kg block and...Ch. 14 - Prob. 8FPCh. 14 - Prob. 9FPCh. 14 - Prob. 10FPCh. 14 - Prob. 11FPCh. 14 - Prob. 12FPCh. 14 - The jeep has a weight of 2500 lb and an engine...Ch. 14 - Determine the power Input for a motor necessary to...Ch. 14 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14 - Prob. 45PCh. 14 - To dramatize the loss of energy in an automobile,...Ch. 14 - Escalator steps move with a constant speed of 0.6...Ch. 14 - Prob. 48PCh. 14 - The 1000-lb elevator is hoisted by the pulley...Ch. 14 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - The 50-lb block rests on the rough surface for...Ch. 14 - The 2-kg pendulum bob is released from rest when...Ch. 14 - Prob. 14FPCh. 14 - Prob. 15FPCh. 14 - Prob. 16FPCh. 14 - The 75-lb block is released from rest 5 ft above...Ch. 14 - Prob. 18FPCh. 14 - The girl has a mass of 40 kg and center of mass at...Ch. 14 - The 30-lb block A is placed on top of two nested...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - Prob. 71PCh. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - Prob. 76PCh. 14 - The roller coaster car having a mass m is released...Ch. 14 - The spring has a stiffness k = 200 N/m and an...Ch. 14 - Prob. 79PCh. 14 - Prob. 80PCh. 14 - When s = 0, the spring on the firing mechanism is...Ch. 14 - If the mass of the earth is Me, show that the...Ch. 14 - A rocket of mass m is fired vertically from the...Ch. 14 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14 - Prob. 85PCh. 14 - Prob. 87PCh. 14 - Prob. 90PCh. 14 - The roller coaster car has a speed of 15 ft/s when...Ch. 14 - Prob. 1RPCh. 14 - The small 2-lb collar starting from rest at A...Ch. 14 - Prob. 3RPCh. 14 - Prob. 4RPCh. 14 - Prob. 5RPCh. 14 - Prob. 6RPCh. 14 - Prob. 7RPCh. 14 - Prob. 8RP
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- 4. The 5-lb collar slides on the smooth rod, so that when it is at A is has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft and a stiffness of k = 16 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. 10 ft/s cy =8-arrow_forwardThe steel ingot has a mass of 1800 kg. It travels along the conveyor at a speed v=0.5m/s when it collides with the "nested" spring assembly. If the stiffness of the outer spring is kA=5kN/m, determine the required stiffness kB of the inner spring so that the motion of the ingot is stopped at the moment the front, C, of the ingot is 0.3 m from the wall.arrow_forwardThe 100-kg crate is hoisted by the motor M. If the velocity of the crate increases uniformly from 1.5 m/s to 4.5 m/s in 5 s, determine the tension developed in the cable during the motionarrow_forward
- A freight elevator, including its load, has a mass of 1.1 Mg. It is prevented from rotating due to the track and wheels mounted along its sides. If the motor M develops a constant tension T = 6.9 kN in its attached cable, determine the velocity of the elevator when it has moved upward 7.2 m starting from rest. Neglect the mass of the pulleys and cables.arrow_forward8) A block weighing 50-kg is being pulled up the incline as shown below. The coefficient of kinetic friction between the block and the surface of the incline is 0.4. If the block is initially moving up the plane at 2m/s and at this instant (t = 0) the motor develops a tension in the cord of T = (300 + 120vt) Newtons, where t is time in seconds. Determine the velocity of the block at t = 2s. Motor V=2 m/s 30arrow_forwardThe 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 2 ft and a stiffness of k = 7.6876 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. 10 ft/s y = 8-arrow_forward
- 2. A spring of stiffness k = 500 N/m is mounted against the 10-kg block. If the block is subjected to the force of F = 500 N, determine its velocity at s = 0.45 m. When s = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth. F = 500 N k = 500 N/marrow_forwardThe 5-lb collar slides on the smooth rod, so that when it is at 4 it has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft. and a stiffness of k = 10 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. Solution: 2 ft 10 ft/sarrow_forward5. The 8-kg smooth collar has a speed of 5 m/s when it is at s = 0. Determine the maximum distance s it travels before it stops momentarily. The spring has an unstretched length of 2 m. -1.5 m- -3 m/s k = 100 N/marrow_forward
- At the instant shown the 2.3 kg collar is moving to the left on the horizontal shaft with a speed of 5.7 m/s that is increasing at a rate of 4.3 m/s/s in spite of the 11 N friction force between the collar and shaft. Determine the force of the spring in N. Assume s = 4.0 m, h = 2.2. Express the result in N.arrow_forwardThe material hoist and the load have a total mass of 600 kg and the counterweight C has a mass of 100 kg. At a given instant, the hoist has an upward velocity of 3 m/sm/s and an acceleration of 1.4 m/s^2 Part A: Determine the power generated by the motor M at this instant if it operates with an efficiency of e = 0.8.arrow_forwardThe 15-kg collar has a velocity of 10 m/s at A while travelling towards B along the smooth guide. The spring which is connected to the collar has an unstretched length of 125 mm and stiffness k= 57 N/m. Determine the collar's speed when it reaches point B, which is located just before the end of the curved portion of the rod. Take point B as the datum.arrow_forward
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Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license