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 _______.
If the length of the pendulum is doubled, the period will _______.
If the amplitude of the motion is cut in half, the period will ______.
If the length of the pendulum is doubled, the frequency will _______.
If the mass of the pendulum is cut in half, the period will _______.

Explanation / Answer

Time p[eriod of pendulum is givne by T = 2pi sqrt(L/g)

and frequency f is given by f = 1/T = 1/(2pi) sqrt(g/L)

so if If the acceleration due to gravity is decreased (suppose you travel to the surface of the moon), the period will increase

If the length of the pendulum is doubled, the period will bebomes sqer2 = 1.414 times

If the amplitude of the motion is cut in half, the period will remain same

If the length of the pendulum is doubled, the frequency will reduces nby 1.414 times

If the mass of the pendulum is cut in half, the period will remain same

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