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Figure shows a uniform smooth solid cyli...

Figure shows a uniform smooth solid cylinder `A` of radius `4 m` rolling without slipping on the `8 kg` plank which, in turn, is supported by a fixed smooth surface. Block `B` is known to accelerate down with `6 m//s^(2)` and block `C` moves down with acceleration `2 m//s^(2)`.

What is the ratio of the mass of the cylinder to the mass of block `B`?

A

`1`

B

`2`

C

`3`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
For block `B,m_(B)g-T=m_(B)6`…………i
For cylinder `T=m_(cyl)2`………..ii
Solving eqn i and ii `m_(cyl),m_(B)=2:1`
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