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>>Class 11
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>>Work, Energy and Power
>>Motion in a Vertical Circle
>> $A sphere is suspended by a thread of len$

Question

A sphere is suspended by a thread of length, $L$ . What minimum horizontal velocity has to be imparted to the ball for it to reach the height of suspension?

A

$g L$

B

$2 g L$

C

$g L$

D

$2 g L$

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Solution

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Correct option is D)

Applying work energy theorem between the lowest and highest points of the trajectory:
$m g L = \frac{1}{2} m v_{0}^{2}$

or, $v_{0} = 2 g L$

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