Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 13 - Section 13.3 - Applications of Simple Harmonic Motion - Got It?: 13.3

Answer

1) Same 2) Doubles 3) Doubles

Work Step by Step

The period is only dependent on the length of the pendulum and the gravitational constant. Thus, changing the mass does nothing. The period is directly related to the square root of the length, so quadrupling the length doubles the period. The period is inversely related to the square root of the gravitational constant, so 1/4 the gravitational constant doubles the period.
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