Grade upto college level Mechanics
A hoop rolling down an inclined plane of inclination angle θ keeps pace with a block sliding down the same plane. Show that the coefficient of kinetic friction between block and plane is given by ![src=data:image/png;base64,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]()
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1 Answer
Navjyot Kalra
The acceleration of the block can be calculated using Newton’s second law of motion as:
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