Simple Pendulum: Oscillating Mass Explained

[dg_5021]

simple pendulm

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 ($I_{cm} = mr^2$)

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

$d = l = r$

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