A cylinderical wooden log rolls (without slipping) down a small ramp. The log has a radius of 15 cm, a length of 2.0 m, and a mass of 78 kg. The log starts from rest near the top of the ramp. When the log reaches the bottom of the ramp, it is rolling at a linear speed of 3.0 m/s.
a. Assuming that the log is a perfect cylinder of uniform density, what is the log's moement of inertia (when rotated about its long, central axis)?
b. What is the log's total kinetic energy at the bottom of th ramp?
c. Assuming no loss of energy to air resistance or friction, from what height did the log start?