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If there is a moth sitting at point C of...

If there is a moth sitting at point `C` of rolling sphere, where velocity of the centre of mass `=v`, calculate the velocity of the moth as seen by an oberver sitting at point `D` at this instant

A

`sqrt(2)v` at `45^(@)` to the horizontal

B

`2v` horizontal

C

`v` at `45^(@)` to horizontal

D

`2v` going down

Text Solution

Verified by Experts

`omega=(v)/(R )`
`v_(c.g)=vhati+Romegahatj=vhati+vhatj`
`v_(D.g)=vhati+Romega(-hatj)=vhati-vhatj`
`v_(C.D)=v_(c.g)-v_(d.g)=vhati+vhatj-vhati+vhatj=2vhatj`
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