Why does it matter if the length of a pendulum is taken at at the center of mass?

  • #1

Homework Statement



Does it matter whether you measure the length of the pendulum to the center of mass of the ball or to the bottom of the ball


Homework Equations



T=2pi*root(L/g)


The Attempt at a Solution



I can see that L (length) is a factor, but I'm not sure why it matters if it's taken from the COM or not??

Any help is appreciated!!
 

Answers and Replies

  • #2
1,506
18
It is essential! A simple pendulum (small mass on the end of a massless string) of length 50cm will have the same time period as a wooden ruler of length 100cm (1 metre).
The 1m ruler must be pivoted as near the end as possible.
The centre of mass of a uniform wooden ruler is at the middle (50cm mark)
 
  • #3
Thank you!! That clears it up perfectly.
 

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