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A rod AB is shown in figure. End A of th...


A rod AB is shown in figure. End A of the rod is fixed on ground. Block is moving with velocity `sqrt3` m/s towards right. The velocity of end B of rod when rod makes an angle of `60^@` with ground is :

A

`sqrt(3)(m)/(s)`

B

`2(m)/(s)`

C

`2sqrt(3)(m)/(s)`

D

`3(m)/(s)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `AB=l`,`B=(x,y)`
`vecv_B=v_xhati+v_yhatj`
`vecv_B=sqrt(3)hati+v_yhatj`
`x^2+y^2=l^2`
`2xv_x=2yv_y=0`
`impliessqrt(3)+(y)/(x)v_y=0`
`impliessqrt(3)+(tan60^@)v_y=0`
Hence from 9i)
`vecv_B=sqrt(3)hati-hatj`
Hence `v_b=2(m)/(s)`
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