What Are the Equations of Motion for a Disc on a Rough Surface?

[confused89]

Homework Statement

A thin disc if mass m, centre of mass offset from centre by h (horizontally right in diagram), and radius r rests on a rough horizonal surface. It is originally at rest and then released. No slip occurs between disc and horizontal surface.

Write the equations of motions of the disc.
How many degrees of freedom?
Write the kinematic constraint equations required to solve the equations of motion.

Show that frictional force acting on the disc is F=((m^2)rh(g-h(alpha)))/(I+mr^2)
where I = moment of inertia of disc about axis through the centre of mass, normal to the disc.

Homework Equations

The Attempt at a Solution

just not really sure where to start at all.

its for an exam not homework but I really need help. thanks

 

[supratim1]

centre of mass offset from centre by h (horizontally right in diagram)

please provide a diagram to make it clear.