A person stands in contact against a wall of cylindrical drum of radius 'r' rotating with an angular velocity ` omega `. If `mu` is coefficient ofn static fiction between the wall and the person , then the minimum rotational speed which enables the person to remain struck to the wall will be

Options

A. `sqrt ((g)/(mu r))`
B. `sqrt ((mu r)/(g))`
C. `sqrt ((2g)/(mu r))`
D. `sqrt((g r )/(mu))`

Answer

A

Explanation

`v=sqrt((rg)/(mu))`
`r omega =sqrt((rg)/(mu))`
` omega=sqrt((rg)/(mu r^(2)))=sqrt((g)/(mu r))`