A block of mass m rests on a slope which is inclined at an angle theta
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Question:
A block of mass m rests on a slope which is inclined at an angle theta to the horizontal. A massless spring with spring constant k is attached between the top of the slope and the block, parallel to the slope. Let g be the magnitude of the acceleration due to gravity, and let mu be the coefficient of friction between the block and the slope.
a Draw a diagram of the situation described, and label the forces acting on the block.
b Let xt be the extension of the spring at time t Using Newtons second law, show that x comega x while
the block is in motion, for constants c and omega to be determined.
c Using the substitution y x c find a differential equation for y in terms of m and k
d By writing down the general solution to the equation for y find x at time t Remember to define any constants that you introduce.
Related Book For
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
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