1.

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

Answer»

`2v_(0)costheta`
`2v_(0)sin theta`
`2v_(0)`
None of these

Solution :`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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