Simple Harmonic Motion - Determine the period of oscillation

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SUMMARY

The discussion focuses on calculating the period of oscillation for a simple harmonic motion scenario involving a rigid rod of length 0.620m suspended from a pivot. The correct period of oscillation was determined to be 2.19 seconds. The user initially miscalculated the percentage difference from a one-meter pendulum's period, which was found to be 2.007 seconds. The error was identified as a failure to multiply the final percentage difference by 100, leading to incorrect submissions.

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  • Understanding of simple harmonic motion principles
  • Familiarity with the formula for angular frequency (omega)
  • Knowledge of period calculation in oscillatory systems
  • Basic algebra for percentage calculations
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KevinFan
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Homework Statement


A very light, rigid rod with a length of 0.620m extends straight out from one end of a meter stick. The stick is suspended from a pivot at the far end of the rod and is set into oscillation.
(a)Determine the period of oscillation.
(b)By what percentage does this differ from a one meter long simple pendulum?

Homework Equations


omega=sqrt((mgh)/i)
omega=sqrt((g/l))
omega=(2Pi)/T

The Attempt at a Solution


I got the correct period for part a, and it's 2.19s
For the second part, I used omega=sqrt((g/l)), and omega is 3.13, and T is 2.007s.
I used (2.19-2.007)/2.19 to find the percentage which is 0.0835. However, it's wrong...
This seems like a simple question but I'm keep getting the second part wrong. Any suggestions?
 
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I believe the denominator should be the period of the 1 m pendulum .
 
rock.freak667 said:
I believe the denominator should be the period of the 1 m pendulum .
The system said it's incorrect
 
KevinFan said:
The system said it's incorrect
Do you mean that you tried that as well, and the system said both answers are incorrect, or are you under the mistaken impression that rock.freak's suggestion is what you originally posted?
 
haruspex said:
Do you mean that you tried that as well, and the system said both answers are incorrect, or are you under the mistaken impression that rock.freak's suggestion is what you originally posted?
I tried both answers and they are all incorrect
 
haruspex said:
Do you mean that you tried that as well, and the system said both answers are incorrect, or are you under the mistaken impression that rock.freak's suggestion is what you originally posted?
Never mind, rock.freak667's method is correct. I forgot to multiply my answer by 100...
Thanks for all the help
 
Good that you found your mistake. Those errors are simple to make and easily overlooked at times!
 
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