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A 1kg block 'B' rests as shown on a brac...

A `1kg` block `'B'` rests as shown on a bracket `'A'` of same mass. Constant forces `F_(1)=20N` and `F_(2)=8N` start to act at time `t=0` when the distance of block `B` from pulley is `50cm`. Time when block `B` reaches the pulley is `……………………` .`(` Assume that friction is absent every where. Pulley and string are light.

Text Solution

Verified by Experts

The correct Answer is:
`0.5sec`
`F.B.D.` of `A.w.r.t.` grivel

`F_(1)-2F_(2)=m_(A)a_(A)`
`rArr 2--2xx8=1a_(A)`
`rArr a_(A)=4m//s^(2)`
`F.B.D.` of `B w.r.t. A`
So `F_(2)-ma_(A)=ma_(2)`
`rArr8-1xx4=1a_(BA)=a_(BA)=4m//s^(2)`
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