Everyday application: Suppose a yo$-$yo has a center shaft that has a $0\mathrm{.}289$ cm radius and that its string is being pulled.

a$)$ If the string is stationary and the yo$-$yo accelerates away from it at a rate of $\backslash (1\mathrm{.}83\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ),$ what is the angular acceleration of the yo$-$yo$?\backslash (\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$

b$)$ What is the angular velocity after $0\mathrm{.}838$ s if it starts from rest?rad$/$s

c$)$ The outside radius of the yo$-$yo is $2\mathrm{.}522$ cm $.$ What is the tangential acceleration of a point on its edge?$\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$