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Consider an inclined plane whose upper half is rough while the

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Consider an inclined plane whose upper half is rough while the lower half is smooth. The friction coefficient of the rough surface is $μ = 0.8$ . A heavy rope of mass $M$ is placed on the inclined plane such that it remains in equilibrium. What minimum fraction of rope is required on a rough surface for equilibrium?

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Updated on: Nov 15, 2023

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Eleanor Discussed

Consider an inclined plane whose upper half is rough while the lower half is smooth. The friction coefficient of the rough surface is

μ = 0.8

. A heavy rope of mass

M

is placed on the inclined plane such that it remains in equilibrium. What minimum fraction of rope is required on a rough surface for equilibrium?

6 mins ago

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6 mins ago

Text solutionVerified

We know that the force of friction is

\Rightarrow F = μ \times N

where,

u

is the friction coefficient

= 0.8

N

is the normal

= Mg Cos θ

θ

is the angle between the plane and the inclination.

g \Rightarrow F = 10 m / s^{2} = μ \times mg Cos θ

F = 0.8 \times 10 M \times \frac{4}{5} = \frac{32 M}{5}

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Question Text	Consider an inclined plane whose upper half is rough while the lower half is smooth. The friction coefficient of the rough surface is $μ = 0.8$ . A heavy rope of mass $M$ is placed on the inclined plane such that it remains in equilibrium. What minimum fraction of rope is required on a rough surface for equilibrium?
Updated On	Nov 15, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 5
Upvotes	549
Avg. Video Duration	6 min

Text solutionVerified

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