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A solid cylinder A, of mass 12 kg is bei...

A solid cylinder A, of mass 12 kg is being pulled by another weight B(3 kg) along a rough horizontal plane as shown in figure. (pulley is massless). The weight B is attached to the end of a string wound aroung the circumference of cylinder. There is no slipping anywhere and string is inextensilbe , find acceleration ( in `m//s^(2)`) of A.

Text Solution

Verified by Experts

The correct Answer is:
`a=(20)/(7)` or `(2g)/(7)`

`T2R=[(12R^(2))/(2)+12R^(2)]alpha`
`T2R=18R^(2)alpha`
`6g-T=6xx2alphaR`
`T=60-12alphaR`
`T=9alphaR`
`9alphaR=60-12alphaR`
`alphaR=(60)/(21)=(20)/(7)`
` a=(20)/(7)or (2g)/(7)`
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