# Simple Pendulum and Length of Rod and Force Constant of Spring

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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.

https://brainmass.com/physics/applied-physics/simple-pendulum-length-rod-force-constant-spring-19825

#### Solution Preview

Solution:

See equations (1) through (5) on the ATTACHMENT.

Step 1.

Substituting knowns into ...

#### Solution Summary

A simple pendulum and length of rod and force constant springs are found.

$2.49