A ball of mass (m) 0.5g is attached to the end of a string having length (L) 0.5m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324N. The maximum possible value of anguar velocity of ball(in radian/s) is

Options

A. 9
B. 18
C. 27
D. 36

Answer

D

Explanation

Here, the horizontal component of tension provides the necessary centripetal force.
`:.` `Tsintheta=mromega^2`
From (i) and (ii)
`Txxr/L=mromega^2[:' sin theta =r/L]`
`:. omega=sqrt((T)/(mL))=sqrt((324)/(0.5xx0.5))`
`=18/0.5=36 rad//s`