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A hinged construction has a rhombus made...

A hinged construction has a rhombus made of `4` rods of length `2sqrt(3)m C` is fixed. Vertex A is moving with a speed of `10 m//s` as shown and whole system is rotating about symmetrical axis with angular velocity `4sqrt(2)rad//s`. What will be speed of vertex `B` at this instant ?

A

`10m//s`

B

`7m//s`

C

`20m//s`

D

`14m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
A hinged …………

speed of `D = sqrt(5^(2)+v_(1)^(2)+(omega r)^(2))`
`v_(1)= 5sqrt(3)` [Constraint motion]
`omega r = 4sqrt(2)xx sqrt(3) = 4sqrt(6)`
speed `= 14 m//s`
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