Rolling ball

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 dont 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..