A solid cylinder of radius `m` is kept on an inclined plane on its base and it does not slide. The angle of incline plane is `53^(@)` with horizontal and it is fixed. What will be maxcimum height (in meters) of the cylinder for it not to topple.

Answer

3

Explanation

Since it does not topple, for liminting condition. `N` should pass through, `A`. The torque about `A` must be zero.
`:. tan theta = (R)/(h//2) rArr h = (2R)/(tantheta) = (2 xx 2)/(4//3) m`