PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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1. 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°
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
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.
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- 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 300-N block is at rest on the horizontal plane before the force P is applied at t=0. Find the velocity and position of the block when t=5 sec. The magnitude of P is 80t N, where t is the time in seconds, and its direction is constant. The coefficients of static and kinetic friction are μs = 0.4 and μk = 0.2, respectively. FIND: A. Find t (time in seconds) when the block starts to move B. Find a (acceleration) in terms of t (time in seconds) C. Find v (velocity) in terms of t (time in seconds) D. Find x (displacement) in terms of t (time in seconds) E. Find v (velocity) when t = 5sec F. Find x (displacement) when t = 5secarrow_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
- If 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_forwardThe motor M is at rest when someone flips a switch and it starts pulling in the rope. The acceleration of the rope is uniform and such that it takes 0.50 s to achieve a retraction rate of 7.00 ft/s. Determine the tension in the rope during initial 0.50 s. The cargo C weighs 2576 lb., the weight of the ropes and pulleys is negligible, and friction in the pulleys is negligible. Note: answer to be in pounds (Ib). motor M cargo Carrow_forwardThe 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.arrow_forward
- The 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_forwardThe 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_forwardA skier starts from rest on the 42° slope at time t = 0 and is clocked at t = 2.76 s as he passes a speed checkpoint 23 m down the slope. Determine the coefficient of kinetic friction between the snow and the skis. Neglect wind resistance. 42° The free-body diagram is shown. Find the normal force N and the friction force F. Your answers will be in terms of the mass m mg Farrow_forward
- If the coefficient of kinetic friction between the150-lb crate and the ground is uk = 0.2, %3D determine the speed of the crate when t = 4 s. The crate starts from rest and is towed by %3D the 100-lb force. 100 lb 30°arrow_forwardIf the 50-kg wooden box was pulled from rest to a distance of 6 m up an inclined plane, determine the magnitude of the force P acting on the crate. The coefficient of kinetic friction between crate and ground is µ, = 0.25. Time the motion is 4 s. %3D 30° 30°arrow_forwardAt the instant shown the 40 kg block A is moving down the plane, while being attached to the 8 kg block B. If the coefficient of kinetic friction between the block and the incline and other surface is µs = 0.2 and µx = 0.15, determine the acceleration of block B, and the tension in the cord. Neglect the mass of the pulleys and cables.arrow_forward
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