STANDARD Physics Friction MCQ Question
A block of mass m rests on a rough inclined plane. The coefficient of friction between the surface and the block is μ. At what angle of inclination θ of the plane to the horizontal will the block just start to slide down the plane?
= tan⁻¹μ
= cos⁻¹μ
= sin⁻¹μ
= sec⁻¹μ
Correct Answer
Detailed Explanation
The forces acting on the block include the gravitational force, normal force, and frictional force. The block will start to slide when the component of gravitational force parallel to the incline (mgsinθ) equals the maximum static friction (μmgcosθ). Solving for θ gives tanθ = μ, hence θ = tan⁻¹(μ).
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