64.A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following figure). The other end of the spring is attached to a support while the mass rests on a rough surface with a coefficient of friction of 0.20 that is inclined at angle of 30°. The block is pushed along the surface till the spring compresses by 10 cm and is then released from rest. (a) How much potential energy was stored in the block-spring-support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the position of the block where it just comes to rest on its way up the incline.
64.A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following figure). The other end of the spring is attached to a support while the mass rests on a rough surface with a coefficient of friction of 0.20 that is inclined at angle of 30°. The block is pushed along the surface till the spring compresses by 10 cm and is then released from rest. (a) How much potential energy was stored in the block-spring-support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the position of the block where it just comes to rest on its way up the incline.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.1P
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
Transcribed Image Text:64.A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following
figure). The other end of the spring is attached to a support while the mass rests on a rough
surface with a coefficient of friction of 0.20 that is inclined at angle of 30°. The block is pushed
along the surface till the spring compresses by 10 cm and is then released from rest. (a) How
much potential energy was stored in the block-spring-support system when the block was just
released? (b) Determine the speed of the block when it crosses the point when the spring is
neither compressed nor stretched. (c) Determine the position of the block where it just comes to
rest on its way up the incline.
m
Solution
30°
Expert Solution
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