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Four rods of equal length L are joined b...

Four rods of equal length L are joined by four pins A,B,C `&` D as shown in the figure. Rods are free to rotated about pins. Pin A is given velocity `v_(0)` and pin C is given `3v_(0)` as shown

The speed of pin B with respect to pin A is

A

`2v_(0)costheta`

B

`2v_(0)sin theta`

C

`2v_(0)`

D

None of these

Text Solution

Verified by Experts

`v sin theta+2v_(0) cos theta=4v_(0) cos theta`
`rArr v=2v_(0) cot theta`
`therefore v_(B)=2v_(0) cosec theta`

`omega=(2v_(0)sin theta+v cos theta)/(L)=(2v_(0))/(L sin theta)`
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