PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 14, Problem 16FP
To determine
The speed of the collar at position
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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
The motor winds in the cable with a constant acceleration, such that the 20-kg crate moves a distance s = 6 m in 3 s, starting from rest. Determine acceleration. what is the normal force (N) at point A. Determine the tension developed in the cable. The coefficient of kinetic friction between the crate and the plane is u= 0.3.
The 1 kg sleeve is pulled to the configuration shown and released from rest. The spring has an
unstretched length of 4 m. Determine the speed of the sleeve when it gets to point A. Also
determine the power of the applied force.
Neglect friction.
Determine:
The sleeve speed at A, VA =
The power, P, of the applied Force =
30°
-5m
F = 2N₁
k=5N/m
A
TIIT
4m
Chapter 14 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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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- The motor winds in the cable with a constant acceleration, such that the 20kg crate moves a distance s = 6 m. in 3 s, starting from rest. Determine the tension developed in the k cable. The coefficient of kinetic friction between the create and the plan is µ = 0.3.arrow_forwardThe steel ingot has a mass of 1940 kg. It travels along the conveyor at a speed v= 0,2 m/s when it collides with the "nested" spring assembly. If the stiffness of the outer spring is Ka= 5 kN/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. (Answer in kN/m) 0.5 m -0.45 m kB k Barrow_forward4. 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_forward
- The 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 spring of constant k = 120 N/m is unstretched when the slider of mass m = 1.6 kg passes position B. If the slider is released fre rest in position A, determine its speed as it passes points B and C. What is the normal force exerted by the guide on the slider at position C? Neglect friction between the mass and the circular guide, which lies in a vertical plane. The distance R = 0.95 m. m B Answers Vg = m/s Vc= i m/s Nc=arrow_forwardThe 4-lb collar C fits closely the smooth shaft. The spring in unstretched when s=0 and its stiffness is 6 lb/ft. AT s=0 ft, the collar is given a velocity of 19ft.s-1. The height is 0.6-ft. determine the position of the collar when its velocity is 0 ft.s-1arrow_forward
- The spring in the toy gun has an unstretched length of 95 mm. It is compressed and locked in the position shown. When the trigger is pulled, the spring unstretched 10.5 mm, and the 23-gg ball moves along the barrel. Determine the speed of the ball when it leaves the gun. Neglect friction.arrow_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_forwardThe spring in the toy gun has an undeformed length of 110.1 mm. It compresses and stops at the position shown. When the trigger is pulled, the spring decompresses 8.3 mm, and the 16.4-g ball moves down the barrel. Determine the speed in m/s of the ball as it leaves the gun. Neglect friction. k = 2 kN/m 50 mm D -150 mm Barrow_forward
- The spring of constant k is unstretched when the slider of mass m passes position B. If the slider is released from rest in position A, determine its speeds as it passes points B and C. What is the nor- mal force exerted by the guide on the slider at posi- tion C? Neglect friction between the mass and the circular guide, which lies in a vertical plane. R ww R C m Barrow_forwardThe spool has a weight of 75 lb and a radius of gyration ko = 1.20 ft. If the block B weighs 60 lb, and a force P = 25 lb is applied to the cord; determine the speed of the block after 5 s starting from rest. Neglect the mass of the cord. 0.75 B Barrow_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
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