Physics - Circular Motion Question with Solution | TestHub

A mass $\mathrm{m}=1\mathrm{kg}$, which is free to move on a horizontal frictionless surface, is attached to one end of a massless string that wraps partially around a frictionless vertical pole of radius $r$ (see the top view in figure). You hold on to the other end of the string. At $t=0$, the mass has speed ${\mathrm{v}}_0$ in the tangential direction along the dotted circle of radius R shown. Your task is to pull on the string so that the mass keeps moving along the circular path of radius R . If at any instant ' t ' force applied by hand on string is ${\mathrm{f}}_0=2\mathrm{N}$ then find out centripetal acceleration (in $\mathrm{m}/{\mathrm{s}}^2$ ) of mass. (Given : $\mathrm{R}=\frac{2\mathrm{r}}{\sqrt{3}}$ )