oscillating mass

[dg_5021]

If I suspend a baseball bat from one end and let it swing back and forth does it make a simple pendulm?

[dg_5021]

Under what conditions does an oscillating mass tied to a string constitute a simple pendulum?

[Integral]

Please show us that you have but some thought of your own into these questions.

[dg_5021]

I know that a simple pendulum consists of a mass m tied to a string (considered massless) of length L. So If I suspend a baseball bat from one end and let it swing back and forth does it make a simple pendulm

[Pyrrhus]

No, it will make a physical pendulum.

[dg_5021]

Under what conditions does an oscillating mass tied to a string constitute a simple pendulum?

[Pyrrhus]

When it's point-mass ( I_{cm} = mr^2 ) tied to the massless string.

Try it:

Physical pendulum Period

T = 2 \pi \sqrt{\frac{I}{mgd}}

Substituting for ( I_{cm} = mr^2 )

T = 2 \pi \sqrt{\frac{mr^2}{mgd}}

d = l = r

T = 2 \pi \sqrt{\frac{l}{g}}