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 is [NEET (Odisha) $$2019$$]

Question

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 is                                    [NEET (Odisha) $$2019$$]

Infinity Learn · Accepted Answer

The situation can be drawn asThe frictional force, f $$=$$ μN $$=$$ μ mg                   $$($$∵ $$N=mg)From$$ free body diagram, the resultant force is|F|$$=N2+f2$$      ≤  $$(mg)2$$ $$+$$ $$($$μ$$mg)2$$ $$=$$ $$mg1$$ $$+$$ μ$$2This$$ is the minimum force required to move the object. But as the body is not moving.∴  F ≤ mg $$1$$ $$+$$ μ$$2$$

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 is [NEET (Odisha) 2019]

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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 is [NEET (Odisha) 2019]

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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 is [NEET (Odisha) 2019]