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, and the restoring force is directly proportional to the displacement from that position.

Front

What is the formula for the period (T) of a simple harmonic oscillator?

Back

T = 2π√(m/k), where m is the mass and k is the spring constant.

Front

What is the relationship between frequency (f) and period (T)?

Back

f = 1/T, where f is the frequency in hertz and T is the period in seconds.

Front

How does the length of a pendulum affect its period?

Back

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

Front

What is the unit of frequency?

Back

The unit of frequency is hertz (Hz), which is equivalent to cycles per second.

Front

What is the amplitude of a simple harmonic oscillator?

Back

Amplitude is the maximum displacement from the equilibrium position in simple harmonic motion.

Front

What is the restoring force in SHM?

Back

The restoring force is the force that brings the object back towards the equilibrium position, proportional to the displacement.

Front

What is the significance of the phase constant in SHM?

Back

The phase constant determines the initial position and direction of motion of the oscillator at time t=0.

Front

What is the formula for the maximum speed (v_max) of a simple harmonic oscillator?

Back

v_max = Aω, where A is the amplitude and ω is the angular frequency.

Front

What is the angular frequency (ω) in SHM?

Back

Angular frequency is given by ω = 2πf, where f is the frequency.