A block is kept on a smooth inclined plane


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A block is kept on a smooth inclined plane of angle of incli-

nation @, which moves with a constant acceleration so that theblock does not slide relative to the inclined plane. If the inclinedplane stops, the normal contact force offered by the plane on theblock changes by a factor(a) [email protected] (b) [email protected] le) [email protected] (d) none of these​

Answered by admin @



Answer:

cos^{2} \theta

Explanation:

Since the inclined place is smooth, there will be no friction force.

Assume the mass of the block = m

In the frame of reference of the inclined plane the forces acting on the block of mass m will be as shown in the figure attached.

Let the force on the block be F

The resolution of the forces as given in figure

Since the block does not slide

∴ Fcosθ = mgsinθ

or, F = mgsinθ/cosθ

N = mgcosθ + Fsinθ

  = mgcosθ + (mgsinθ/cosθ)sinθ

  = mg/cosθ

When the inclined plane stops, the force F will be zero

Hence, new Normal reaction = mgcosθ

This is greater than previous Normal Reaction by a factor = cos^{2} \theta


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