Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 14, Problem 93P
(a)
To determine
The smallest value of
(b)
To determine
The effect on total mechanical energy, amplitude, angular frequency and time period by placing
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A block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction areμ. The block is displaced a distance x0 to the right of the unstretched position for the spring and released from rest. If the value for x0 is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a = μg− k/mx, wherexrepresents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values m=10 kg, k=160 N/m, μ=0.44, and x0=720 mm and determine the final spring stretch (or compression) xfwhen the block comes to a complete stop. The distance xf will be positive if to the right (spring stretched) and negative if to the left (spring compressed).
To measure the static friction coefficient between a 1.6-kg block and a vertical wall. A spring (spring constant = 510 N/m) is attached to a block. Someone pushes on the end of he spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.039 m, what is the coefficient of static friction?
To measure the static friction coefficient between a 4.93-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 521 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0524 m, what is the coefficient of static friction?
Chapter 14 Solutions
Physics for Scientists and Engineers
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- A spring with a spring constant of k = 192 N/m is initially compressed by a block a distance d = 0.23 m. The block is on a horizontal surface with coefficient of kinetic friction μk, static friction μs, and has a mass of m = 7 kg. How large would the coefficient of static friction μs need to be to keep the block from moving? Recall that to keep the block from moving, the acceleration is zero. Assuming the block has just begun to move and the coefficient of kinetic friction is μk = 0.2, what is the block's acceleration in meters per square second?arrow_forwardA block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction are u. The block is displaced a distance xo to the right of the unstretched position for the spring and released from rest. If the value for xo is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a = μg - k/m x, where x represents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values m = 10 kg, k = 210 N/m, u = 0.34, and xo = 370 mm and determine the final spring stretch (or compression) xf when the block comes to a complete stop. The distance xf will be positive if to the right (spring stretched) and negative if to the left (spring compressed). Unstretched spring position x xo marrow_forwardA 5 kg box rests on a tabletop. On one side, it compresses a spring with a stiffness of 1000 N/m by 1 cm. If the friction force cancels out the force of the spring what must be the minimum coefficient of static friction between the box and table to keep the box from moving?arrow_forward
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