Which is better for measuring g? Bar Pendulum or Simple Pendulum?

  • #1
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Homework Statement



Which is a more accurate way of measuring g, the acceleration due to gravity? Using a bar pendulum or a simple pendulum?


Homework Equations



Bar Pendulum = metal rod with slotted holes at fixed distances, which serve as pivots.

The Attempt at a Solution



For small oscillations, the time periods of both the bar pendulum and the simple pendulum have identical mathematical forms. But, I am not able to decide which one would be a better device for measuring g (by measuring the time period for a fixed number of oscillations, say 20, by varying the effective lengths).

Advantages of bar pendulum over simple pendulum: is rigid, so motion is confined (mostly) to 2D; the string of the simple pendulum may not remain straight at maximum angular displacements, but there is no such problem with the bar pendulum (again assuming that it remains fairly rigid over the small angular displacements).

Advantages of simple pendulum over a bar pendulum: Most of the mass is concentrated in the bob and so the nonuniform mass distribution can be neglected. The point of support (pivot) is well defined and there is negligible friction due to the pivot (and the string wrapped around it). However, for a rod pivoted on a knife edge arrangement, the point of support is not well defined. Further, there may be friction which leads to lateral displacement of the point of support and so the mean position may not be laterally fixed.

Thanks for your help.

Cheers
Vivek
 

Answers and Replies

  • #2
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If I remember correctly I got 9.90+-0.07m/s^2 with mathematical pendulum. I think that's a better way; lower air resistance, easier to define dimensions. Oscilations out of vertical plane should not bother you, if you are careful the vertical oscilations are small, and don't affect final result.
 
  • #3
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By mathematical pendulum, you mean simple pendulum right?

Hmm, thanks. Any more inputs would be greatly apprecited.
 
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  • #4
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By mathematical pendulum, you mean simple pendulum right?
Yes, a small iron ball at the end of very thin rope. How precise result do you want anyway? I really can't see the way that you could get a better result using physical instead mathematical pendelum. There are much more parameters that you can't assess precisely.
 
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  • #5
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I am not "looking" for accuracy. I am just comparing the two experiments. The actual values aren't that relevant.
 

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