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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Friction

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Friction

Suppose the contact force exerted by a rough horizontal surface on...

Suppose the contact force exerted by a rough horizontal surface on a body resting on it has a constant magnitude. If the angle between this contact force and the vertical is reduced, the frictional force acting between the body and the surface will

Options

  1. Aincrease
  2. Bremain the same
  3. Cdecrease
  4. Dmay increase or decrease

Correct answer

C. decrease

Step-by-step solution

Let the contact force exerted by the surface on the body be FcF_c.

The contact force can be resolved into two mutually perpendicular components:
1. Normal reaction NN acting vertically upwards.
2. Frictional force ff acting horizontally along the surface.

Let θ\theta be the angle between the contact force and the vertical. From the resolution of vectors, the frictional force is given by:
f=Fcsin⁡θf = F_c \sin \theta

It is given that the magnitude of the contact force FcF_c is constant and the angle θ\theta is reduced.

For an acute angle θ\theta, as θ\theta decreases, the value of sin⁡θ\sin \theta also decreases.

Therefore, the frictional force ff will decrease.
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