A small sphere of mass m suspended by a thread is first taken aside so that the thread forms a right angle with the vertical and then released. The total acceleration of the sphere when it makes an angle θ with the vertical is

Question

A small sphere of mass m suspended by a thread is first taken aside so that the thread forms a right angle with the vertical and then released. The total acceleration of the sphere when it makes an angle θ with the vertical is, g 1 + 3 cos 2 θ, g 1 + cos 2 θ, g 1 + sin 2 θ, g 1 + 3 sin 2 θ

MARKS App · Accepted Answer

Between A and B, mgL cos θ = 1 2 mv B 2 ∴ v B 2 = 2 gL cos θ Now, a r = v B 2 L = 2 g cos θ and a t = g sin θ ∴ a = a t 2 + a r 2 = g 1 + 3 cos 2 θ

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