A circular hoop of mass m, radius r, and infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the horizontal.
1) What's the moment of inertia of the circular hoop with respect to its center axis? Express it using m and r. (2 pts)
2) What's the linear acceleration of the hoop down the incline? Express it using m, r, g, and θ. (2 pts)