The $25-kg$ disk $A$ is attached to the $15-kg$ block $B$ using the cable and pulley

system shown in Figure $12$b$.$ If the disk rolls without slipping,

a$)$ Calculate the mass moment of inertia of the disc about the point of contact

with the table.

$[2$ marks$]$

b$)$ Show that $2a_B=-a_A,$ where $a_A$ and $a_B$ are the translational accelerations

of the disc and block respectively.

$[2$ marks$]$

c$)$ Determine the angular acceleration of the disc and the acceleration of the

block when they are released.

d$)$ Whatisithe tension in the cable?

Hints: $$

The total length of the cable does not change

In order to derive the translational acceleration, it is recommended to use the

relative displacement rather than absolute displacement