PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 14, Problem 18FP
To determine
The speed of the collar at position
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The 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.
The 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-1
The 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-
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 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 has a stiffness k = 200 N>m and is unstretched when the 25-kg block is at A. Determine the acceleration of the block when s = 0.4 m. The contact surface between the block and the plane is smooth.arrow_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 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 marrow_forwardThe semicircular bar is smooth. The unstretched length of the spring is 0.250 m. The 6-N collarat A is given a downward velocity of 4 m/s, and when it reaches B the magnitude of its velocity is 12 m/s.Determine the spring constant k.arrow_forwardThe 150-lb car of an amusement partk ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial for F along the boom. Neglect the size of the car and the mass of the boom.arrow_forward
- The 5-kg smooth collar has a speed of 3 m/sm/s when it is at s = 0. The spring has an unstretched length of 1 mm. Determine the maximum distance ss the collar travels before it stops momentarily.arrow_forwardWhen s= 0.6 m, the spring is unstretched and the 10kg block has a speed of 5 m/s down the smooth plane. Determine the distances when the block stops. * * = 200 N m Sm F-100 Narrow_forwardy - y = 4.5 – x h ft k lb/ft B I ft The 8-lb collar has a speed of 9 ft. s at A. The attached spring has an unstretched length of 2 ft and a stiffness of k = 15lb. ft-1. If the collar moves over the smooth rod, determine its speed when it reaches point B. The height of A is h = 6 ft and B is at l = 4ft from the vertical of A wwwarrow_forward
- The 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 motion.arrow_forwardThe conveyor belt delivers each 12-kg crate to the ramp at A such that the crate’s speed is vA = 2.5 m>s,directed down along the ramp. If the coefficient of kinetic friction between each crate and the ramp is mk = 0.3,determine the smallest incline u of the ramp so that the crates will slide off and fall into the cartarrow_forwardThe 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 wwwwarrow_forward
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