10. Simple Harmonic Motion and Waves

A simple pendulum has a time period “T”. What will happen to its time period if its thread length is shortened to half?

The time period of a pendulum is given by  T = 2π √(l/g) . If length is halved, the time period decreases by a factor of √2 , making it shorter. Related Questions: Give an example of vibratory motion which is not simple harmonic motion. Give a reason for your selection. At the extreme position, … Read more

What will happen to the acceleration of a mass-spring system if its mass is doubled?

on doubling the mass, acceleration is halved provided that the force remains constant. if the Force is constant and you double the mass, the acceleration is a/2. Related Questions: Give an example of vibratory motion which is not simple harmonic motion. Give a reason for your selection. At the extreme position, velocity is zero but acceleration … Read more

At the extreme position, velocity is zero but acceleration is maximum in simple harmonic motion. How can you theoretically explain it?

In SHM, acceleration is given by . At the extreme position, displacement is maximum, making acceleration maximum. Since velocity is the rate of change of displacement, it becomes zero at the turning points. Related Questions: Give an example of vibratory motion which is not simple harmonic motion. Give a reason for your selection. Simple harmonic … Read more

Give an example of vibratory motion which is not simple harmonic motion. Give a reason for your selection.

An example is the motion of a car engine’s piston. It is not simple harmonic because its acceleration is not proportional to its displacement and does not follow Hooke’s law. Related Questions: At the extreme position, velocity is zero but acceleration is maximum in simple harmonic motion. How can you theoretically explain it? What will … Read more