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Question

A pendulum bob of mass 10 g is attached to a rod of length 2 m and is allowed to move in the vertical circle. Find the minimum velocity of bob at the bottom of the circle so that the bob completes the circle.
(Take g=10 m/s2)

A
10 m/s
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B
8.9 m/s
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C
0.89 m/s
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D
9 m/s
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Solution

The correct option is B 8.9 m/s
Applying energy conservation at the lowest point

12mv2=mg(2R)

v=4gR, this is the critical velocity of the bob at the bottom most position for looping the loop

v=4×10×2

v=80=8.9 m/s

Hence option B is the correct

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