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Question

What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to a maximum vertical height of 40 cm.
(Take g=9.8 m/s2)

A
1.4 m/s
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B
0.7 m/s
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C
2.8 m/s
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D
3.6 m/s
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Solution

The correct option is C 2.8 m/s
Mean position refers to the bottom most position of the bob.


Applying energy conservation between initial to final position,
Loss in KE of bob=Gain in PE of bob
12mv2=mgh
Or, v=2×g×h
v=2×9.8×0.4=784100
v=2.8 m/s

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