A pendulum is set in motion. Consider what will happen to the frequency or perio

Question

A pendulum is set in motion. Consider what will happen to the frequency or period in each of the following situations.
Increase Stay the same Decrease  If the acceleration due to gravity is decreased (suppose you travel to the surface of the moon), the period will _______.
Increase Stay the same Decrease  If the length of the pendulum is doubled, the period will _______.
Increase Stay the same Decrease  If the mass of the pendulum is doubled, the period will _______.
Increase Stay the same Decrease  If the length of the pendulum is doubled, the frequency will _______.
Increase Stay the same Decrease  If the amplitude of the motion is doubled, the period will ______.

Explanation / Answer

T = 2pi sqrt(L/g) and f = 1/T = sqrt(g/L)/2pi

1. g ->decreases

T -> increase

2. L -> doubled

T-> increase

3. m - > doubled (independent of mass)

T -> stay the same

4. L -> doubled,

f -> decrease

5. A- > doubled

f -> stay the same

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