The bob of pendulum at rest is given a sharp hit to impart a horizontal velocity 6gl, where l isthe length of the pendulum. Find the tension when string becomes vertical. (g = acceleration dueto gravity)

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4 mg

2 mg

5 mg

answer is D.

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Detailed Solution

The bob will make complete revolution and at the highest point of its trajectory ,using conservation of mechanical energy 12mv2+mg . 2l = 12m 6gl2 (v= speed at highest point) ⇒v =2gl T=mv2l−mg=2mg−mg=mg

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