Simple Harmonic Motion

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 simple harmonic oscillator?

Back

The period (T) of a simple harmonic oscillator is given by the formula T = 2π√(m/k), where m is the mass of the object and k is the spring constant.

Front

What is amplitude in the context of SHM?

Back

Amplitude is the maximum displacement of an object from its equilibrium position in simple harmonic motion.

Front

Define frequency in terms of SHM.

Back

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

Front

What is the relationship between frequency and period in SHM?

Back

The frequency (f) and period (T) are inversely related: f = 1/T.

Front

What is the restoring force in SHM?

Back

The restoring force in SHM is the force that acts to bring the object back to its equilibrium position, and it is proportional to the displacement from that position.

Front

What is the equation of motion for SHM?

Back

The equation of motion for simple harmonic motion can be expressed as x(t) = A cos(ωt + φ), where A is the amplitude, ω is the angular frequency, and φ is the phase constant.

Front

What is angular frequency in SHM?

Back

Angular frequency (ω) is the rate of change of the phase of a sinusoidal waveform, and it is related to the frequency by the formula ω = 2πf.

Front

How does mass affect the period of a simple harmonic oscillator?

Back

In a simple harmonic oscillator, an increase in mass results in an increase in the period of oscillation.

Front

What is the role of the spring constant in SHM?

Back

The spring constant (k) measures the stiffness of the spring; a higher spring constant results in a shorter period of oscillation.