PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 15, Problem 3FP
To determine
The speed of the crate when
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The conveyor belt is moving at 4 m/s. If the coefficient of static friction between the conveyor and the 10-kg package B is ms = 0.2, determine the shortest time the belt can stop so that the package does not slide on the belt.
1. If the 50-kg crate starts from rest and achieves a velocity of v = 4 m/s when it travels a distance of 5 m to
the right, determine the magnitude of the force P acting on the crate. The coefficient of static friction
between the crate and the ground is u. = 0.3
30
The crate has a mass of 80 kg and is being towed by a chain which is always
directed at 20° from the horizontal as shown. Determine the crate's acceleration in t = 2
s if the coefficient of static friction is µ̟ = 0.4, the coefficient of kinetic friction is Pk = 0.3,
and the towing force is P = (90t) N, where t is in seconds.
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20
Chapter 15 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 15 - The 0.5kg ball strikes the rough ground and...Ch. 15 - Prob. 2FPCh. 15 - Prob. 3FPCh. 15 - The wheels of the 1.5-Mg car generate the traction...Ch. 15 - Prob. 5FPCh. 15 - If the coefficient of kinetic friction between the...Ch. 15 - Prob. 3PCh. 15 - Each of the cables can sustain a maximum tension...Ch. 15 - Crates A and B weigh 100 lb and 50 lb,...Ch. 15 - Prob. 8P
Ch. 15 - Prob. 9PCh. 15 - During operation the jack hammer strikes the...Ch. 15 - For a short period of time, the frictional driving...Ch. 15 - The 2.5-Mg van is traveling with a speed of 100...Ch. 15 - Prob. 14PCh. 15 - The towing force acting on the 400-kg safe varies...Ch. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - If it takes 35 s for the 50-Mg tugboat to increase...Ch. 15 - Prob. 23PCh. 15 - The balloon has a total mass of 400 kg including...Ch. 15 - Prob. 26PCh. 15 - Prob. 30PCh. 15 - Prob. 7FPCh. 15 - The cart and package have a mass of 20 kg and 5...Ch. 15 - The 5-kg block A has an initial speed of 5 m/s as...Ch. 15 - Prob. 10FPCh. 15 - Prob. 11FPCh. 15 - The cannon and support without a projectile have a...Ch. 15 - The 5-Mg bus B is traveling to the right at 20...Ch. 15 - Prob. 36PCh. 15 - A railroad car having a mass of 15 Mg is coasting...Ch. 15 - A ballistic pendulum consists of a 4-kg wooden...Ch. 15 - Prob. 39PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - The 30-Mg freight car A and 15-Mg freight car B...Ch. 15 - Blocks A and B have masses of 40 kg and 60 kg,...Ch. 15 - Block A has a mass of 5 kg and is placed on the...Ch. 15 - Solve Prob. 15-53 if the coefficient of kinetic...Ch. 15 - Prob. 56PCh. 15 - Prob. 13FPCh. 15 - Prob. 14FPCh. 15 - The 30-lb package A has a speed of 5 ft/s when it...Ch. 15 - The ball strikes the smooth wall with a velocity...Ch. 15 - Prob. 17FPCh. 15 - Prob. 18FPCh. 15 - Prob. 58PCh. 15 - Prob. 59PCh. 15 - Prob. 61PCh. 15 - Prob. 62PCh. 15 - Prob. 63PCh. 15 - Prob. 64PCh. 15 - A 1-lb ball A is traveling horizontally at 20 ft/s...Ch. 15 - Prob. 69PCh. 15 - Prob. 73PCh. 15 - Two smooth disks A and B each have a mass of 0.5...Ch. 15 - Prob. 75PCh. 15 - The cue ball A is given an initial velocity (vA)1...Ch. 15 - Prob. 78PCh. 15 - Prob. 79PCh. 15 - A ball of negligible size and mass m is given a...Ch. 15 - Prob. 81PCh. 15 - The 20-lb box slides on the surface for which k =...Ch. 15 - Prob. 84PCh. 15 - Prob. 85PCh. 15 - Prob. 90PCh. 15 - Prob. 92PCh. 15 - Disks A and B have a mass of 15 kg and 10 kg,...Ch. 15 - Prob. 19FPCh. 15 - Prob. 20FPCh. 15 - Initially the 5-kg block is moving with a constant...Ch. 15 - Prob. 22FPCh. 15 - Prob. 23FPCh. 15 - Prob. 24FPCh. 15 - Determine the angular momentum HO of the 6-lb...Ch. 15 - Determine the angular momentum HP of the 6-lb...Ch. 15 - Prob. 96PCh. 15 - Determine the angular momentum Hp, of each of the...Ch. 15 - Prob. 98PCh. 15 - Determine the angular momentum Hp of the 3-kg...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - If the rod of negligible mass is subjected to a...Ch. 15 - The amusement park ride consists of a 200-kg car...Ch. 15 - An earth satellite of mass 700 kg is launched into...Ch. 15 - Prob. 115PCh. 15 - Prob. 116PCh. 15 - Prob. 119PCh. 15 - The gauge pressure of water at A is 150.5 kPa....Ch. 15 - Prob. 121PCh. 15 - The fountain shoots water in the direction shown....Ch. 15 - A plow located on the front of a locomotive scoops...Ch. 15 - Prob. 124PCh. 15 - Water is discharged from a nozzle with a velocity...Ch. 15 - Prob. 127PCh. 15 - Prob. 128PCh. 15 - Sand drops onto the 2-Mg empty rail car at 50 kg/s...Ch. 15 - Prob. 133PCh. 15 - A rocket has an empty weight of 500 lb and carries...Ch. 15 - Prob. 135PCh. 15 - Prob. 138PCh. 15 - The missile weighs 40 000 lb. The constant thrust...Ch. 15 - Prob. 140PCh. 15 - Prob. 1RPCh. 15 - Prob. 2RPCh. 15 - Prob. 3RPCh. 15 - Prob. 4RPCh. 15 - The 200-g projectile is fired with a velocity of...Ch. 15 - Block A has a mass of 3 kg and is sliding on a...Ch. 15 - Two smooth billiard balls A and B have an equal...Ch. 15 - Prob. 8RP
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- If the 40kg box is moving with 1 m/s^2 acceleration to the right, determine the magnitude of normal force acting on the box, if F is 174 N. The coefficient of kinetic friction between the box and the ground is 0.3.arrow_forwardThe crate has a mass of 80 kg and is being towed by a chain which is always directed at 70° from the vertical. The towing force is defined by the equation: P = 20t², where P is in Newtons and t is in seconds. If the coefficient of static friction is µ = 0.4 and the coefficient of kinetic friction is k 0.3, evaluate the = time when the crate's acceleration is 1.7473 m/sec². Apply Newton's second law of motion.arrow_forwardThe conveyor belt is moving downward at 5 m/s. If the coefficient of static friction between the conveyor and the 12-kg package B is uk = 0.71, determine the shortest time the belt can stop so that the package does not slide on the belt.arrow_forward
- The log has a mass of 500 kg and rests on the ground for which the coefficients of static and kinetic friction are Hs = 0.5 and Mk = 0.4, respectively. The winch delivers a horizontal towing force T to its cable at A which varies as shown in the graph. Determine the speed of the log when t = 5 s. Originally the tension in the cable is zero. Hint: First determine the force needed to begin moving the log. T (N) 1800 T = 200 ? t (s) 3 АТ Note: Solve using Principle of Impulse and momentumarrow_forwardThe conveyor belt is moving downward at 5 m/s. If the coefficient of static friction between the conveyor and the 15-kg package Bis * mu_{x} = 0.62 , determine the shortest time the belt can stop so that the package does not slide on the beltarrow_forwardIf motor M exerts a force of F = (10t2+ 100) N on the cable, where t is in seconds, determine the velocity of the 25-kg crate when t = 4 s. The coefficients of static and kinetic friction between the crate and the plane are μs = 0.3 and μk = 0.25, respectively. The crate is initially at rest.arrow_forward
- The motor is towing the crate that has a mass of me = 1000 kg, and rests on the flat surface. It delivers an increasing horizontal pulling force of T= 500 Newton, where t is in second, to its cable at A, after 5 which the force is kept constant at 5000 N. The coefficients of static friction and kinetic friction are us =0.3 and uk =0.2, respectively, between the crate and the surface. Determine the velocity (m/s) of the crate when t₂ = 5s.arrow_forwardThe force F, acting in a constant direction on the 24-kg block, has a magnitude which varies with the position s of the block. When s = 0 the block is moving to the right at v = 6 m/s. The coefficient of kinetic friction between the block and surface is μk = 0.3. Determine how far the block must slide before its velocity becomes 15 m/s. No hand written solution and no imagearrow_forward1. The 40-kg crate is pulled by the constant force P. If the crate starts from rest and achieves a speed of 10 m/s in 9 s, determine the magnitude of P. The coefficient of kinetic friction between the crate and the ground is 0.15. 30°arrow_forward
- The crate has a mass of 80 kg and is being towed by a chain which is always directed at 20° from the horizontal as shown. If the magnitude of P is increased until the crate begins to slide, determine the crate's initial acceleration if the coefficient of static friction is = 0.5 and the coefficient of kinetic friction is pk = 0.3. 13arrow_forwardThe 11-lb block has a velocity of 3.83 ft/s when the force of F = (257.6t2) lb·ft/sec2 is applied. Determine the acceleration of the block when t = 2.08 s. The coefficient of kinetic friction at the surface is μk = 0.21. Answer is in ft/sec2.arrow_forward2. The car, having a mass of 1000 kg, is traveling horizontally along a 20° banked track which is circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between the tires and the road is us = 0.3, determine the minimum and maximum constant speed at which the car can travel without sliding down and up the slope. Neglect the size of the car. e= 20°arrow_forward
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