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A straight rigid rod of mass M and lengt...

A straight rigid rod of mass `M` and length `L` lies on a smooth horizontal table. Taking the co-ordinate axes as shown in the figure and assuming an average force `ltFgt` acting for a small time interval `(/_\t)`, at the end `A`, making an angle `30^@` with the `X`-axis, Based on the above passege, answer the following questions.
Linear velocity of the `CM` of rod is

A

`(ltFgt(/_\t))/(2m)/(2m)(sqrt(3)hati+hatj)`

B

`(ltFgt(/_\t))/(2m)/(2m)(sqrt(5)hati+2hatj)`

C

`(ltFgt(/_\t))/(2m)/m(sqrt(3)hati+hatj)`

D

`(ltFgt(/_\t))/(2m)/m(sqrt(5)hati+hatj)`

Text Solution

Verified by Experts

The correct Answer is:
A
`J_x=MV_ximpliesV_x=(Jcos30^@)/M`
`J_y=MV_yimpliesV_y=(Jcos30^@)/M`
Hence `vecv=v_xhati=v_yhatj`
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