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Question: A block of mass m is placed at rest on an inclined plane of inclination q to the horizontal. If the ...

A block of mass m is placed at rest on an inclined plane of inclination q to the horizontal. If the coefficient of friction between the block and the plane is m, then the total force the inclined plane exerts on the block is-

A

mg

B

m mg cosq

C

mg sin q

D

m mg tan q

Answer

mg

Explanation

Solution

mg sinθ\sin \theta

In static condition,

Friction, f = mgsin q, N = mg cos q

so net force through plane,

(mgsinθ)2+(mgcosθ)2\sqrt { ( m g \sin \theta ) ^ { 2 } + ( m g \cos \theta ) ^ { 2 } } = mg