Does Adding Weight to a Suitcase Increase Its Natural Frequency?

AI Thread Summary
Adding weight to a suitcase affects its natural frequency, as the frequency is inversely related to the square root of the mass. When the suitcase is filled with books, the increased mass results in a lower natural frequency compared to when it is empty. This is because a heavier object requires more force to achieve the same acceleration, thus reducing its oscillation frequency. The relationship between mass and frequency is crucial in understanding pendulum dynamics. Therefore, filling the suitcase with weight decreases its natural frequency.
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You let an empty suitcase swing to and fro at its natural frequency. If the case were filled with books, would the natural frequency be lower, greater, or the same as before?

I thought that the frequency would be greater because there is more weight to push the suitcase back and forth. Is this right?
 
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In what way is the mass of a pendulum related to frequency?
 
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