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A rod of length 10 meter has one end on ...

A rod of length `10` meter has one end on smooth floor and the other end on smooth wall is released from the rest the position shown in figure. When the rod makes an angle of `37^(@)` with the horizontal, answer the following:

The velocity of centre of mass of rod is :

A

`sqrt(5)m//s`

B

`sqrt(10)m//s`

C

`sqrt(15)m//s`

D

`sqrt(20)m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
c
Using `IAOR`
`mg l/2 sin 53^(@)=mg l/2 sin 37^(@)+1/2Iomega^(2)`
`omega=sqrt(3/5)impliesV_("cm")=5 sqrt(3/5)=sqrt(15)`
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