A 100 g mass is attached and wrapped around an apparatus at a constant radius of 10 cm. The hanging mass is dropped and obtains a speed of 0.2 m/s after 1 m. Using energy considerations, what is the moment of inertia of the apparatus?

Answer 1

work done by gravity=mgh=1/2 m v^2 + 1/2 I w^2

mgh= 1/2 mv^2 + 1/2 I v^2 r^2

given h, v, m, r, v, solve for I