SHM to waves

Front

What is Simple Harmonic Motion (SHM)?

Back

Simple Harmonic Motion (SHM) 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 mass-spring system in SHM?

Back

The period (T) of a mass-spring system in SHM is given by the formula T = 2π√(m/k), where m is the mass and k is the spring constant.

Front

What is the relationship between frequency and period in SHM?

Back

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

Front

What does the velocity-time graph of a mass in SHM look like?

Back

The velocity-time graph of a mass in SHM is a sinusoidal wave, where the velocity is maximum at the equilibrium position and zero at the maximum displacement.

Front

What is total mechanical energy in a spring-mass system?

Back

Total mechanical energy in a spring-mass system is the sum of kinetic energy and potential energy, which remains constant if there is no damping.

Front

What is the formula for kinetic energy (K) in SHM?

Back

The kinetic energy (K) of a mass in SHM is given by K = 1/2 mv², where m is the mass and v is the velocity.

Front

What is the formula for potential energy (U) in a spring-mass system?

Back

The potential energy (U) in a spring-mass system is given by U = 1/2 kx², where k is the spring constant and x is the displacement from the equilibrium position.

Front

What is the definition of amplitude in SHM?

Back

Amplitude is the maximum displacement of an object from its equilibrium position in SHM.

Front

How does damping affect the motion of a mass-spring system?

Back

Damping reduces the amplitude of oscillations over time, leading to a gradual loss of energy in the system.

Front

What is the frequency of a wave?

Back

Frequency is the number of complete cycles of a wave that occur in one second, measured in Hertz (Hz).