Simple Harmonic Motion - Determine the period of oscillation

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Homework Help Overview

The discussion revolves around determining the period of oscillation for a system involving a rigid rod and a meter stick, specifically in the context of simple harmonic motion. The original poster presents calculations for the period and a percentage difference compared to a one-meter-long simple pendulum.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the period of oscillation and the percentage difference from a one-meter pendulum, but encounters issues with the second part of the problem. Some participants suggest checking the denominator used in the percentage calculation.

Discussion Status

The discussion has seen participants questioning the correctness of the original poster's calculations and assumptions. There is acknowledgment of a mistake in the original poster's approach, leading to a resolution regarding the calculation method for the percentage difference.

Contextual Notes

Participants note that the system's feedback indicated incorrect answers, prompting further examination of the calculations involved. There is a focus on ensuring the correct application of formulas related to simple harmonic motion.

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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