PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 14, Problem 3FP
If the motor exerts a force of F = (600 + 2s2) N on the cable, determine the speed of the 1 00-kg crate when it rises to s = 15 m. The crate is initially at rest on the ground.
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2
The 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.
M
If the motor exerts a force of F = (600 + 2s²)N on the
cable, determine the speed of the 100-kg crate when it
rises to s = 15 m. The crate is initially at rest on the
ground.
M
15 m
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 50-1b block rests on the smooth surface. A force F = (40+s) Ib, which s isin ft, acts on the block in the direction shown. If the spring is originally unstretched (s = 0) and the block is at rest, determine the power developed by the force the instant theblock has moved s = 1.5 ft.F30°k = 20 lb/ftarrow_forwardThe 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 6.4 m/s after traveling 18.1 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 = 0.78.arrow_forwardThe 10-lb block has a speed of 4 ft/s when the force of F = (8t2) lb is applied. Determine the velocity of the block when it moves s = 30 ft. The coefficient of kinetic friction at the surface is ms = 0.2.arrow_forward
- If the contact surface between the 30-kg block and the ground is smooth, determine the power of force F if block reaches speed of 3.2 m/s when t = 4 s. Initially, the block is at rest.arrow_forward400 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. 200arrow_forwardThe 100 kg crate is subjected to forces F1= 800 N and F2= 1500 kN, as shown. If it is originally at rest, determine the distance it slides in order to attain a speed of v= 6 m/s. The coefficient of kinetic friction between the crate and the surface is Muk= 0.2arrow_forward
- If the 7.25-kg block is moving with an initial speed of 6.5m/s and the coefficient of kinetic friction between the block and plane is µ = 0.25, determine the compression in the spring when the block momentarily stops. Assume a = 1.75m and the spring constant k₁ = 205 N/m. B a mana Aarrow_forward2. The 2-kg pendulum bob moves in the vertical plane with a velocity of 8 m/s when 0=0°. Determine the initial tension in the cord and at the instant the bob reaches 0=35°. Neglect the size of the bob. 2 marrow_forwardGggarrow_forward
- The 10-lb block has a speed of 4 ft/s when the force of F = (8t2) lb is applied. Determine the velocity of the block when t = 2 s. The coefficient of kinetic friction at the surface is mk = 0.2.arrow_forwardThe cart carrying the small 2-kg package A is moving up the incline with constant acceleration N. If the package stays at rest relative to the cart in the position e = 45°, determine the value of N. Neglect friction. 2 kg 25arrow_forwardThe crate, which has a mass of 245 kg is subjected to the action of the two forces. If it is originally at rest determine the distance it slides in order to attain a speed of 12 m/s. The coefficient of kinetic friction between the crate and the surface is 0.18 800 N 30° 4 1000 Narrow_forward
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