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A system is shown in the figure. Block A...

A system is shown in the figure. Block `A` moves with velocity `10m//s`. The speed of the mass `B` will be `:`

A

`10sqrt(2) m//s`

B

`5sqrt(3)m//s`

C

`(20)/(sqrt(3))m//s`

D

`10m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `V_(x) & V_(y)` be rectangular component of velocity of mass `B`

Net velocity along string `BC` is
`V_(x)sin 45^(@)+V_(y)cos 45^(@)=10`
`V_(x)+V_(y)=10sqrt(2) ....(i)`
Net velocity along string `BA` is
`V_(x)cos 75^(@)-V_(y)cos 15^(@)=0 ......(ii)`
Solving equations `(ii)& (i)`
`V=sqrt(V_(x)^(2)+V_(y)^(2))=(20)/(sqrt(3))m//s`
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