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  • A body will begin to move down an inclined plane, if the angle of inclination of the plane is ____________ the angle of friction.  Option: 1

A body will begin to move down an inclined plane, if the angle of inclination of the plane is ____________ the angle of friction.
 

Option: 1

equal to


Option: 2

less than


Option: 3

greater than


Option: 4

none of the above


Answers (1)

best_answer

 

 

Angle of Repose -

 

The angle of repose is defined as the angle of the inclined plane with horizontal such that the body is placed on it just begins to slide.

Here α is the angle of repose, F is the limiting friction, R is a normal reaction.

From the figure,

R=mgcosα 

F=mgsinα  and

we know that

\frac{F}{R}=tan \alpha

\frac{F}{R}=\mu_{s}=tan\theta=tan \alpha

?tan α= μs ⇒ α = tan-1(μs)

So,

The angle of inclination should be greater than the angle of friction.

Posted by

Divya Prakash Singh

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