EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 14, Problem 5RP
To determine
Thepower supplied to the motor at the instant of
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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
The 2-Mg car increases its speed uniformly from rest to 20 m/s in 30 s up the inclined road.
Determine the maximum power that must be supplied by the engine, which operates with an
efficiency of E= 0,4.
10
The 50-kg crate is hoisted up the 30o incline by the pulley system and motor M. If the crate starts from rest and by constant acceleration attains a speed of 9.5 m/s after traveling 11.5 m along the plane, determine the power in kW that must be supplied to the motor at this instant. Neglect friction along the plane. The motor has an efficiency ϵ = 0.53.
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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- 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_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 61 kg crate is moved up the surface with a 30° inclination using the pulley system and motor M shown in the figure. If the box starts from rest and, with constant acceleration, reaches a velocity of 4 m/s after traveling a distance of 6.0 meters along the surface, determine the power that must be supplied to the motor at that instant. . Neglect friction along the inclined surface. Express the answer in kW. The efficiency of the motor is n = 0.79. 30° Marrow_forward
- The 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_forwardThe 56.28 kg crate is hoisted up the 0 = 27° incline by the pulley system and motor M. If the crate starts from rest and, by constant acceleration, attains a speed of 8.17 m/s after traveling 7.84 m along the plane, determine the supplied power to the motor if the crate has moved 8 m and the coefficient of kinetic friction between the plane and the crate is Hk = 0.3. Neglect friction along the plane. The motor has an efficiency of 0.691. Marrow_forwardAt 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_forward
- The small cylinder C has a mass of 10 kg and is attached to the end of a rod whose mass may be neglected. The frame is subjected to a couple of moment M = 26Nm, and the cylinder is subjected to a force of F = (5t² + 6) N, where t is in seconds, which is always directed in the same direction as the cylinder's velocity as shown. The cylinder has a speed vo= 2 m/s when t = 0. (Figure 1) Figure 0.75 m M 1 of 1 Part A Determine the speed of the cylinder when t = 3 s. Express your answer to three significant figures and include the appropriate units. v= |μA Value Submit Request Answer < Return to Assignment Units Provide Feedback ?arrow_forwardThe 2-Mg car increases its speed uniformly from rest to 25 m/s in 30 s up the inclined road. Determine the maximum power that must be supplied by the engine, which operates with an efficiency of e = 0.8. Also, find the average power supplied by the engine. 10arrow_forwardA 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.arrow_forward
- The 600-kg bar B, originally at rest, is towed over a series of small rollers. The motor M is drawing in the cable at a rate of v = (0.3 t2) m/s, where t is in seconds. Determine the force in the cable when t = 2 sarrow_forwardThe 2,000 kg car is being towed by a motor as shown in the figure below. If the motor exerts a force of F = 10(s + 1) N on the cable, where s is the displacement of the car in meters, determine the speed of the car when s = 10 m, starting from rest. Neglect rolling resistance of the car.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_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