A small objective placed on a rotating horizontal trun table just slip when it is placed at a distance 4cm from the axis of rotation. If the angular velocity of the trun-table doubled, the objective slip when its distance from the axis of ratation is.

Options

A. `1cm`
B. `2cm`
C. `4cm`
D. `8cm`

Answer

A

Explanation

The object will slip if centripetal force `ge` force of friction
`mromega^(2)gemumg`
`romega^(2)gemug`
`romega^(2)geconstant`
or `((r_(1))/(r_(2))=((omega_(2))/(omega_(1)))^(2)`
`(4cm)/(2_(2))=((2omega)/(omega))^(2)`
:. `r_(2)=1cm` .