Two smooth sphere each of radius `5cm` and weight `W` is in equilibrium inside a fixed smooth cylinder of radius `8cm` as shown in the figure. The reaction. The reactions between the spheres 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)`