Simple Harmonic Motion

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, with a restoring force proportional to the displacement from that position.

Front

What is the formula for the period of a mass-spring system?

Back

T = 2π√(m/k), where T is the period, 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): f = 1/T.

Front

What happens to the maximum velocity of a mass in SHM if the amplitude is doubled?

Back

The maximum velocity is also doubled, as it is directly proportional to the amplitude.

Front

What is the maximum acceleration in SHM?

Back

The maximum acceleration (a_max) is given by a_max = ω²A, where ω is the angular frequency and A is the amplitude.

Front

What is the significance of the equilibrium position in SHM?

Back

The equilibrium position is where the net force acting on the mass is zero, and it is the point of maximum velocity.

Front

How does the restoring force behave in SHM?

Back

The restoring force always acts towards the equilibrium position and is proportional to the displacement from it.

Front

What is the phase constant in SHM?

Back

The phase constant determines the initial position and direction of motion of the oscillating object.

Front

What is the relationship between displacement and acceleration in SHM?

Back

In SHM, the acceleration is always directed towards the equilibrium position and is proportional to the negative of the displacement.

Front

What is the formula for the total mechanical energy in SHM?

Back

The total mechanical energy (E) in SHM is constant and is given by E = (1/2)kA², where k is the spring constant and A is the amplitude.