Does Adding Weight to a Suitcase Increase Its Natural Frequency?

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mmMMgood1020
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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?