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 angular velocity of rod BC is

Answer»

`(2v_(0))/(L)`
`(2v_(0))/(L) SIN theta`
`(2v_(0))/(L sin theta)`
`(2v_(0))/(L)costheta`

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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