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The time taken by a body in sliding down a rough inclined plane of angle of inclination 45∘ is n times the time taken by the same body in slipping down a similar frictionless plane. The coefficient of dynamic friction between the body and the plane will be
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Acceleration when there is no friction is a=gsinθ and acceleration when friction is there isWe know that s=ut+12at2, under condition of u=0,Therefore t′t =(a/a′)−−−−−√.n=[gsinθ/(gsinθ−μgcosθ)]−−−−−−−−−−−−−−−−−−−−−√⇒cotθ=1∴n2=1/(1−μ) or μ=1−(1/n2)
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Question Text | The time taken by a body in sliding down a rough inclined plane of angle of inclination 45∘ is n times the time taken by the same body in slipping down a similar frictionless plane. The coefficient of dynamic friction between the body and the plane will be |
Answer Type | Text solution:1 |
Upvotes | 150 |