Simple Harmonic Motion Review

Front

What is Simple Harmonic Motion (SHM)?

Back

Simple Harmonic Motion is a type of periodic motion where an object moves back and forth around an equilibrium position, and the restoring force is directly proportional to the displacement from that position.

Front

What is the formula for the period of a simple pendulum?

Back

The period (T) of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.

Front

How does the length of a pendulum affect its period?

Back

The period of a pendulum increases with the length; specifically, a longer pendulum has a longer period.

Front

What is the relationship between frequency and period?

Back

Frequency (f) is the reciprocal of the period (T), given by the formula f = 1/T.

Front

If a pendulum has a period of 2 seconds, what is its frequency?

Back

The frequency is 0.5 Hz, calculated as f = 1/T = 1/2.

Front

What is the formula to calculate the frequency of a pendulum?

Back

The frequency (f) of a pendulum can be calculated using the formula f = 1/(2π)√(g/L).

Front

What is the significance of the acceleration due to gravity (g) in pendulum motion?

Back

The acceleration due to gravity affects the period of the pendulum; a higher g results in a shorter period.

Front

How do you calculate the period of a pendulum on an unknown planet?

Back

To calculate the period on an unknown planet, use the formula T = 2π√(L/g), where g is the unknown gravity.

Front

What is the period of a pendulum that swings back and forth 10 times in 12.1 seconds?

Back

The period is 1.21 seconds, calculated as T = total time / number of swings = 12.1 s / 10.

Front

What is the frequency of a pendulum that swings back and forth 10 times in 12.1 seconds?

Back

The frequency is 0.826 Hz, calculated as f = number of swings / total time = 10 / 12.1.