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The acceleration of block 'C' is equal t...

The acceleration of block 'C' is equal to `(g)/(12)m//s^(2)` where g is gravitational acceleratio. Acceleration of 'A' is equal to `(10g)/(x)m//s^(2)` then fill the value of x. All surface are smooth and pulleys are light. `(Take g = 10 m//s^(2))`

A

`5`

B

`20`

C

`30`

D

`50`

Text Solution

Verified by Experts

The correct Answer is:
C

The acceleration ………….
`a = (b+c)/(2), b+c = 2a`
`2T = 10a`
`4g sin 30^(@)-T = 4c`
`T = 2g - (4g)/(12) = (5g)/(3)`
then `a = (2T)/(10) = (10g)/(3xx10) = (g)/(3)`
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