What affects period in simple harmonic motion?

Because the period is constant, a simple harmonic oscillator can be used as a clock. In fact, the mass m and the force constant k are the only factors that affect the period and frequency of simple harmonic motion.

Why is simple harmonic motion rare?

The vertical component of any point on a wheel of a car or train or bicycle moving at constant speed also represents SHM approximately. In some sense, SHM is rare because it can never happen in reality. It is only a mathematical approximation to the real motion. The real motion takes into account ALL of physics.

Is simple harmonic motion affected by gravity?

Since the force imparted by gravity does not change at all it does not have any effect on the simple harmonic motion. However it does have effect in determining the equillibrium point. If gravity is increased then the equillibrium point will become lower (in other words the spring will be more stretched).

What conditions must be met for simple harmonic motion?

Conditions to produce simple harmonic motion include that the net force must be described by F=-kx, where F is the restoring force, x is the displace, and k is the force constant. To produce simple harmonic motion, the rate of change of velocity must be proportional to the displacement.

Who discovered simple harmonic motion?

In fact, any regularly repetitive motion and any wave, no matter how complicated its form, can be treated as the sum of a series of simple harmonic motions or waves, a discovery first published in 1822 by the French mathematician Joseph Fourier.

What is angular harmonic motion?

Angular S.H.M. is defined as the oscillatory motion of a body in which the torque for angular acceleration is directly proportional to the angular displacement and its direction is opposite to that of angular displacement.

Why is compound pendulum superior to simple pendulum?

A simple pendulum has a point mass and a massless supporting string. A compound pendulum has the mass spread out – not all at one point.

What is the maximum displacement of a body in simple harmonic motion?

A particle that vibrates vertically in simple harmonic motion moves up and down between two extremes y = ±A. The maximum displacement A is called the amplitude.

Where is acceleration maximum in simple harmonic motion?

The maximum acceleration is a max = A ω 2 a max = A ω 2 . The maximum acceleration occurs at the position ( x = − A ) , and the acceleration at the position ( x = − A ) and is equal to − a max .

What is the amplitude of SHM?

The amplitude of a SHM can be defined as the maximum displacement of a particle from its mean position. This obtained value will be the amplitude of SHM.