PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 14, Problem 7P
To determine
The final speed of the block by the observers
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A constant force of F acts on a mass as shown. The mass starts its motion from rest at position 1, the unstretched lenght of the spring is 250 mm, and the spring modulus is k = 1.5 kN/m. Neglecting the friction, determine the required force F to cause the 2 - kg mass to have a speed of v2 = 1.5 m/s at position 2.
A constant force of ''F'' acts on a mass as shown. The mass starts its motion from rest at position 1, the unstretched length of the spring is 250 mm, and the spring modulus is k=1,5 k?/m. Neglecting the friction, determine the required force ''F'' to cause the 2−kg mass to have a speed of v2=1,5 m/s at position 2.
In the position shown, block A is moving to the left at a speed of 9 m/s, and the spring is undeformed. Determine the stiffness of the spring k, in N/m, that would cause the system to stop after A has displaced 0.8 m.
The coefficient of kinetic friction between block A and the horizontal surface is 0.25, and the weights on the pulleys are negligible.
The mass of block A is 3.0 kg, and the mass of block B is 5.5 kg.
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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 double pulley shown in the figure is formed by two wheels that are coupled to each other. The complete pulley (formed by the two wheels) has a mass of 15 kg and a turning radius of 110mm. Block A has a mass of 40 kg. If a force of 2 kN is applied to the tied rope of the inner pulley wheel, determine the speed of block A after 3 seconds. At the beginning, the whole system was at rest. Disregard the mass of the string and consider that the moment of inertia (kg.m²) of the complete pulley is given by IP = mko²where m is the mass of the pulley and Ko is the radiusspinningarrow_forwardIn the position shown, block A is moving to the left at a speed of 6 m/s, and the spring is not deformed. Determinate the stiffness of the k-spring, in N/m, which would cause the system to stop after A has shifted 0.8 m. The kinetic friction coefficient between block A and the horizontal surface is 0.25, and the weights of the pulleys are negligible. The mass of block A is 2.6 kg, and the mass of block B is 6.0 kg. VA k 0000000000 A fk Barrow_forwardThe 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' Darrow_forward
- The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 35%, 0 = 39 deg/s, and Ö = 15 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.2- kg slider B. Neglect all friction, and let L = 0.68 m. The motion occurs in a vertical plane. 0 -L B marrow_forwardThe collar C with mass m slides on the smooth horizontal bar when the bar AB rotates with constant angular velocity wo in the counter-clockwise direction. If m = 1 kg and wo = 2 rad/sec, calculate the magnitude of the normal force on the collar at the instant, by neglecting the size of the collar. Present your answer in Newtons using 3 significant figures. Alo 1 m B 2 m 2 marrow_forwardA 173-lb snowboarder has speed v = 15 ft/sec when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value μK = 0.06 for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center G of the snowboarder is 2.2 feet from the surface of the snow. 27° G 21' Answers N = a = i i 2682.49 27.756 21' lb ft/sec²arrow_forward
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