A "reference ring" with moment of inertia Ic rests on a solid disk torsion pendulum with a moment of inertia I0.

Question

a) What is the period T0 for the motion with the disk alone?

b) What is the period T1 for motion with the combined system?

c) Use the expressions from a) and b) to derive an expression for I0 in terms of To, T1, and Ic

Answer 1

a) To=2(pi)(Io/k)^1/2
b) T1=2(pi)((Io+Ic/k))^1/2

Answer 2

answer part c dude