Calculating Acceleration of a Spherical Shell

[nurjamali]

A hollow spherical shell with mass 2.10 rolls without slipping down a slope that makes an angle of 34.0 with the horizontal.
Find the magnitude of the acceleration of the center of mass of the spherical shell.

I understood that the friction force is normal to the slope and there is a component of gravity in x direction(taking x-y plane at an angle of 34.0)
But I don't know the relation for calculating acceleration of the center of mass.

 

[Doc Al]

The friction force is parallel to the slope.

To find the acceleration, apply Newton's 2nd law to both the translational and rotational motion of the shell.

 

[Shooting Star]

Also, draw a freebody diagram to make things clearer to yourself..