Simple Harmonic Motion

Front

What is Simple Harmonic Motion (SHM)?

Back

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 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

What is the significance of the equilibrium position in SHM?

Back

It is the position where the net force acting on the object is zero, and the object has maximum velocity.

Front

What happens to the velocity of an object in SHM at the maximum displacement?

Back

The velocity is zero at maximum displacement, as the object momentarily comes to rest before reversing direction.

Front

What is the relationship between amplitude and energy in SHM?

Back

The total mechanical energy in SHM is proportional to the square of the amplitude; greater amplitude means greater energy.

Front

What is Hooke's Law?

Back

It states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position, expressed as F = -kx.

Front

What is the role of damping in SHM?

Back

Damping refers to the gradual loss of amplitude in oscillations due to external forces like friction, leading to a decrease in energy over time.

Front

What is the difference between periodic motion and simple harmonic motion?

Back

All SHM is periodic motion, but not all periodic motion is SHM; SHM has a restoring force proportional to displacement.

Front

What is the maximum speed of a mass in SHM?

Back

The maximum speed occurs at the equilibrium position and is given by v_max = Aω, where A is the amplitude and ω is the angular frequency.