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A rod can freely rotate in vertical plan...


A rod can freely rotate in vertical plane about the hinge at its bottom. Two strings tie the top of the rod with blocks A and B as shown in the figure. At the instant shown,, the rod is vertical and the speed of block A is u`(m)/(s)` downwards. Find the speed of block B.

A

`sqrt(3)u`

B

`u`

C

`(u)/(2sqrt(2))`

D

`sqrt((2)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
A

Let the magnitude of velocity of top of the rod be `V_R` towards left and the speed of block be v.
`l_1+l_2=`constant
`(dl_1)/(dt)+(dl_2)/(dt)=0`
`l_3+l_4=` constant
`(dl_3)/(dt)+(dl_4)/(dt)=0`
`impliesV_Rcos30^@-v=0`
Solving (1) and (2) `v=sqrt(3)u`
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