A body of mass m is kept on a rough horizontal surface (coefficient of friction = μ ). Horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictiona

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A body of mass m is kept on a rough horizontal surface (coefficient of friction = μ ). Horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given F , where F isNEET 2019 (Odisha)

TestHub · Accepted Answer

The situation can be drawn as The frictional force, f = μ N = μ mg [ ∵ N = mg ] From Free body diagram (FBD), the resultant force is ∣ F ∣ ​ = N 2 + f 2 ​ = ( mg ) 2 + ( μ mg ) 2 ​ = mg 1 + μ 2 ​ ​ This is the minimum force required to move the object. But as the body is not moving ∴ ∣ F ∣ ≤ mg 1 − μ 2 ​

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