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A string is wrapped several times on a c...

A string is wrapped several times on a cylinder of mass M and radius R. The cylinder is pivoted about its axis of symmetry. A block of mass m tied to the string rests on a support positioned so that the string has shown. Now, the block is released Just before the string gets taut, kinetic energy of the system is `E_(0)`. Just after taut kinetic energy of the system, velocity of m and angular velocity of cylinder are `E_(1),V_(1)` and `omega_(1)` respectively. Then,

A

`E_(0)=" mgh"`

B

`E_(1)=(E_(0))/(1+(M)/(2m))`

C

`V_(1)=(sqrt(2"gh"))/(1+(M)/(2m))`

D

`omega_(1)=(sqrt(2"gh"))/(R(1+(M)/(2m)))`

Text Solution

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The correct Answer is:
A, B, C, D
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