Two smooth sphere each of radius 5cm and weight `W` rest one on the other inside a fixed smooth cylinder of radius 8cm. The reaction between the sphere and the vertical side of the cylinder are:

Options

A. `W//4` & `3W//4`
B. `W//4` & `W//4`
C. `3W//4` & `5W//4`
D. `W` & `W`

Answer

C

Explanation

`costheta=(8-5)/(5)`
`rArrtheta=53^(@)`
For upper cylinder

`tantheta=(W)/(N_(2))`
`rArrN_(2)=(3W)/(4)=N_(1)`
and `N sintheta=WrArrN=(5W)/(4)`