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Question

In a situation, the contact force by a rough horizontal surface on a body placed on it has constant magnitude. If the angle between this force and the vertical is decreased, the frictional force between the surface and the body will
  1. increase
  2. decrease
  3. remain same
  4. may increase or decrease


Solution

The correct option is B decrease
Let us draw the condition given in the question

For the constant magnitude of the contact force we can write
N=mgRcosθ
and we know that friction force, f=μN f=μ(mgRcosθ)
Thus, if θ, decreases, R will shift towards normal reaction force and cosθ value will increase. This ultimately results in the decrement of frictional force.
Hence, frictional force will decrease in this case.

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