Review for SHM Final

Front

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

Back

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

Front

Define Simple Harmonic Motion (SHM).

Back

SHM is a type of periodic motion where the restoring force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction.

Front

What is the relationship between period and frequency in SHM?

Back

Frequency (f) is the reciprocal of the period (T): f = 1/T.

Front

How does the length of a pendulum affect its period?

Back

The period of a pendulum increases with the square root of its length; longer pendulums have longer periods.

Front

What is the maximum displacement in SHM called?

Back

Amplitude.

Front

What happens to the kinetic and potential energy in SHM?

Back

Kinetic energy is maximum at the equilibrium position, while potential energy is maximum at the amplitude.

Front

What is the restoring force in a spring system?

Back

The restoring force is the force exerted by the spring to return to its equilibrium position, described by Hooke's Law: F = -kx.

Front

Calculate the period of a pendulum with a length of 16 m.

Back

T = 2π√(16/9.81) ≈ 8 sec.

Front

What is the significance of the equilibrium position in SHM?

Back

The equilibrium position is where the net force is zero, and the object experiences no acceleration.

Front

What is the formula for the potential energy stored in a spring?

Back

PE = 1/2 kx², where k is the spring constant and x is the displacement from equilibrium.