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# Pendulum and calculation of g

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KIndly answer the questions from A to G. Thanks.

A. How did the change in the mass of the bob affect the resulting period and frequency?

B. How did the change in amplitude affect the resulting period and frequency?

C. How did the change in the length of the pendulum affect the period and frequency?

D. What would happen if you used very large amplitudes with the same length of string? Check your hypothesis by experiment. What amplitude(s) did you use? What were the results?

E. Hypothesize about how a magnet placed directly under the center point would affect an iron bob. As an optional activity, design an experiment to see if a magnetic will affect the period of a pendulum.

F. What was the percent error in conducting this experiment? What might be a few sources for error in your experimental data and calculations?

G. What would you expect of a pendulum at a high altitude, for example on a high mountaintop?
What would your pendulum do under weightless conditions?

https://brainmass.com/physics/computational-physics/pendulum-calculation-g-562361

#### Solution Preview

A. Since the period of the pendulum does not depend on the mass of the bob, neither the period nor the frequency (i.e. inverse of period) change.
B. For small changes in amplitude, the period does not change (and neither does frequency; also look at the first equation). But if the change in amplitude is more than a certain amount, the period will be longer and the frequency will ...

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## Physical Pendulum: Derive the equation for the period

A physical pendulum is constructed from a uniform thin rod of length L suspended from one end. The center of gravity lies at the midpoint of it's length.

1) Derive the equation for the period of this physical pendulum, assuming only small angle oscilllations.

2) Derive the equation for the angular frequency of this physical pendulum, again assuming small angle oscillations.

3) What would be the length of a simple pendulum that has this same period?

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