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A pendulum consists of a wooden bob of m...

A pendulum consists of a wooden bob of mass `m` and length `l`. A bullet of mass `m_(1)` is fired towards the pendulum with a speed `v_(1)`. The bullet emerges out of the bob with a speed of `(v_(1))//3` and the bob just completes motion along a vertical circle, then `v_(1)` is

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A pendulum consists of a wooden bob of mass M and length l . A bullet of mass m is fired towards the pendulum with a speed v . The bullet emerges immediately out of the bob from the other side with a speed of v//2 and the bob starts rising. Assume no loss of mass of bob takes place due to penetration. If the bob is just able to complete the circular motion, then tension at the lowest point just when the bob starts rising will be

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