Simple Harmonic Motion

Front

What is Simple Harmonic Motion (SHM)?

Back

Simple Harmonic Motion is a type of periodic motion where an object oscillates 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 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

How does the length of a pendulum affect its period?

Back

The period of a pendulum increases with the length; shortening the length decreases the period.

Front

What is Hooke's Law?

Back

Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position, expressed as F = -kx, where k is the spring constant.

Front

What type of energy is stored in a compressed or stretched spring?

Back

Elastic potential energy.

Front

What is the relationship between mass and the period of a mass-spring system?

Back

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

Front

What is the role of gravity in the motion of a pendulum?

Back

Gravity provides the restoring force that brings the pendulum back to its equilibrium position.

Front

What is the significance of the constant π in SHM?

Back

The constant π appears in the formulas for the period of both pendulums and springs, indicating the circular nature of oscillatory motion.

Front

What is the difference between kinetic energy and potential energy in SHM?

Back

In SHM, kinetic energy is maximum at the equilibrium position, while potential energy is maximum at the extreme positions.

Front

What is the effect of damping on SHM?

Back

Damping reduces the amplitude of oscillations over time, eventually leading to a stop in motion.