A sphere of radius `0.10 m` and mass `10 kg` rests in the corner formed by a `30^(@)` inclined plane and a smooth vertical wall. Choose the correct option

Options

A. `N_(1)=56.5 N`
B. `N_(2)=113N`
C. `f=0`
D. `fne0`

Answer

A, B, C

Explanation

If we take moments about an axis through the centre of the sphere. Only f can have a torque. `sum tau=0` , take `sum F_(y)=0` yields
`N_(2)cos30^(@)=mg=(10kg)(9.8 m//s^(2))`
`sum F_(x)=0` yeilds `N_(2) sin 30^(@)-N_(1)=0`
or `N_(1)=56.5N,N_(2)=113 N`