Ask Question
2 April, 09:37

A block is placed on an inclined plane with an angle of inclination θ (in degrees) with respect to horizontal. The coefficient of static friction between the block and the inclined plane is 0.4. For what maximum value of θ will the block remain stationary on the inclined surface?

+5
Answers (1)
  1. 2 April, 13:03
    0
    The maximum value of θ that will cause the block to remain stationary on the inclined surface is 21.8°

    Explanation:

    Given;

    coefficient of static friction, μ = 0.4

    for the block to remain stationary on the inclined plane, force pushing the block upward must be equal to the force acting downwards.

    μR = mgsinθ

    μmgcosθ = mgsinθ

    μcosθ = sinθ

    μ = sinθ/cosθ

    μ = tanθ

    θ = tan⁻¹ (0.4) = 21.8°

    Therefore, the maximum value of θ that will cause the block to remain stationary on the inclined surface is 21.8°
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A block is placed on an inclined plane with an angle of inclination θ (in degrees) with respect to horizontal. The coefficient of static ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers