A 250g globe (hollow sphere of Rg=5.00 cm, I = 2 mR^2 / 3) has a massless axle of radius Ra= 2.00 cm. A 100 g hanging mass is connected to the edge of axle of the globe through a cylindrical pulley of radius Rp= 3.00 cm and mass 60.0 g.
a. Apply Newton's 2nd Law to the globe (and its axle), to the pulley, and to the hanging mass, relate the forces/torques applied on these objects with their linear/angular acceleration.
b. Carefully relate the linear and angular accelerations of these objects.
c. Find the angular acceleration of the globe.
d. What is the angular speed of the globe when the mass has dropped 60.0 cm?