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Work Energy Theorem Application

The length of...

Question

The length of a simple pendulum is $60 c m$ . The bob is given a minimum velocity along horizontal direction, so that the bob describes vertical circle of radius equal to the length of pendulum. The velocity of bob when the string is horizontal is:

A

2.8 m / s

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B

3.6 m / s

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C

4.2 m / s

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D

5.6 m / s

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Solution

The correct option is D $4.2 m / s$
Apply Work Energy Theorem between horizontal and bottom positions ,

$(W D)_{G} = Δ K E$

$m g L = \frac{1}{2} m 5 g l - \frac{1}{2} m V^{2}$
$V = \sqrt{3 g L}$
$= 4.24 m / s$

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