Question

When a cylinder is spinned and placed somewhere on surface of a rough inclined plane as shown then after release.

(A) The cylinder may continue to accelerate down and never be in pure rolling.

(B) The cylinder may accelerate up for some time then ** and come down in pure rolling.

(C) The cylinder may accelerate down continuously and pure rolling will start after some time.

(D) Friction will act on cylinder in upward direction initially and later it will be downward direction.

Answer 1

Correct option (A) (B) (C)

Explanation:

(A) if μ < tanθ/3, it will not be in pure rolling.

(B) If mg cosθ > mg sinθ, cylinder will accelerate up initially for some time.

(C) If mg sinθ > mg cosθ , cylinder will accelerate down continuously.

(D) Friction will always act in upward direction.