QUESTION $2$

$[12]$

A sphere, shown in Figure $2,$ has a radius of $0\mathrm{.}3$ m and starts to rotate about its axis from rest, i$.$e$.$ at $=0,$ angular velocity is zero, with an angular acceleration equal to ${}^{}=3,$ where ${}^{}$ is in rad $\frac{?}{s^2}$ and $$ is in radians. When $=4$ radians, determine:

a$.$ the angular acceleration of the sphere

$[3]$

b$.$ the angular velocity of the sphere

$[4]$

c$.$ the magnitude of the velocity and acceleration of point $A$ in Figure $2.$

$[5]$