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Question

Physics Question on Centre of mass

A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F=xNF=\sqrt xN as shown in figure.

The value of x = ______.

Answer

A block of mass 200 g is kept stationary

Fcos60°=mgsin60°F cos60° = mg sin60°

F=12=0.210×32F=\frac{1}{2}=0.210×\frac{\sqrt3}{2}

F=23⇒F=2\sqrt3

F=12N⇒F=\sqrt {12}N

x=12∴ x = 12