Explore BrainMass

# Physical Pendulum: Derive the equation for the period, the angular frequency and the length of a simple pendulum

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

A physical pendulum is constructed from a uniform thin rod of length L suspended from one end. The center of gravity lies at the midpoint of it's length.

1) Derive the equation for the period of this physical pendulum, assuming only small angle oscilllations.

2) Derive the equation for the angular frequency of this physical pendulum, again assuming small angle oscillations.

3) What would be the length of a simple pendulum that has this same period?

Â© BrainMass Inc. brainmass.com November 30, 2021, 1:07 am ad1c9bdddf
https://brainmass.com/physics/torques/physical-pendulum-derive-equation-period-84901

#### Solution Preview

A physical pendulum is constructed from a uniform thin rod of length L suspended from one end. The center of gravity lies at the midpoint of it's length.

1) Derive the equation for the period of this physical pendulum, assuming only small angle oscillations.

2) Derive the equation for the angular frequency of this physical pendulum, again assuming small angle oscillations.

3) What would be the length of a ...

#### Solution Summary

This solution provides an explanation and a graph, with formulas and calculations to solve the problems in an attached Word document.

\$2.49