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A bob of mass m connected to the end of ...


A bob of mass `m` connected to the end of an inextensible string of length `l`, is released from position shown in figure. If impacts of bob with smooth floors is perfectly inelastic. Choose the correct options (s)

A

The maximum height reached by the bob during subsequency motion is `(l)/(32)`

B

Maximum height reached by the bob during subsequency motion is zero.

C

Energy loss from the time duration bob is released to the time it reaches at its maximum height during subsequent motion is `(3mgl)/(8)`

D

Energy loss from the time duration bob is released to the time it reaches to the time it reaches at its maximum height during subsequency motion is `(15mgl)/(32)`

Text Solution

Verified by Experts

The correct Answer is:
A, D

JBC
Just before string gets taught

Just after string gets taught
Maximum height achieved during sub sequence motion:
`h_(max)=(((v_(2))/(2))^(2))/(2g)=(v_(2)^(2))/(8g)=(1)/(8g)(gl)/(4)=(l)/(32)`
`DeltaE=(mgl)/(2)-(mgl)/(32)=(15mgl)/(32)`
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