A body of mass m is stationary on an inclined plane of angle of inclination. Find the contact force offered by the inclined plane of the body.

Newtons Laws of Motion Build Your Concept

Posted by pallavi on 2024-11-08 08:42:08 |

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Sol:  Free body diagram

Force equation

 Since, the body is stationary,     

  Fx = 0, Fy = 0.

   ∑ Fx = 0 ⇒f = mg sinθ

   ∑Fy = 0 ⇒ N = mgcosθ

  Fcontact = √(f²+N² )

  = √((mgsinθ)² +(mgcos θ)² )

  = mg√(sin²θ+cos²θ) = mg

Go!