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Simple Pendulum and Length of Rod and Force Constant of Spring

Three objects are constructed as follows:
A simple pendulum has a length Ls= 3.4 m, A physical pendulum consisting of a thin, uniform rod of length Lr, and a mass M= 9.4 kg suspended from a spring whose force constant is k. All three objects oscillate with the same period.
Find the length Lr of the thin rod and also the force constant k of the spring.
See ATTACHMENT for a diagram of the objects, and physics statements A, B and C.


Solution Preview

See equations (1) through (5) on the ATTACHMENT.
Step 1.
Substituting knowns into ...