Question

A small body slides over the curved surface of a semicircular fixed cylinder of radius 'r', kept horizontally on the ground as shown in the figure. At what height from the ground would the body lose contact with the surface

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Let normal reaction makes an angle $\theta$ from vertical, then $v^2=2gr(1-\cos \theta )$ and $\frac{m{v}^2}{r}=mg\cos \theta$ $\Rightarrow$ height from ground $h=\frac{2r}{3}$