Test: Simple Harmonic Motion - SSC CGL MCQ

Simple Harmonic Motion (SHM) refers to the back and forth motion of an object along a line about a stable equilibrium position.

Mass is not directly involved in the description of Simple Harmonic Motion (SHM). The key quantities involved are amplitude, period, and velocity.

The restoring force in SHM is directly proportional to the displacement from the equilibrium position.

The time period of a simple pendulum depends on the length of the pendulum and the acceleration due to gravity.

In simple harmonic motion (SHM), the frequency and time period are inversely proportional to each other:

• Frequency: The number of oscillations per unit time, typically measured in hertz (Hz)
• Time period: The time it takes for one oscillation

 An object executing SHM experiences maximum potential energy at the extreme points of its motion.

The maximum displacement of an object from its mean position in SHM is called the amplitude.

Total mechanical energy remains constant during Simple Harmonic Motion (SHM).

The restoring force in SHM is always directed towards the mean position or equilibrium position.

The motion of a mass-spring system is an example of simple harmonic motion.

The displacement-time relationship in SHM is represented by a sine wave graph.

The force constant of a spring is a measure of its elasticity.

In SHM, the phase difference between the displacement and velocity is 90 degrees.

In SHM, the acceleration is maximum when the displacement is zero.

The motion of a simple pendulum is approximately SHM when the angle of oscillation is small.

Frequency = 1 / Time period = 1 / 2 seconds = 0.5 Hz.

The ratio of maximum velocity to maximum acceleration in SHM is equal to the amplitude.

The angular frequency of an oscillating system is given by 2π times the square root of the force constant divided by the mass.

Hooke's Law, which describes the relationship between force and displacement in a spring, is applicable to solids, liquids, and gases.

The quality factor (Q-factor) of an oscillating system is a measure of its damping.