The time period is the least amount of time required to complete one oscillation, or it can alternatively be described as the minimum amount of time after which the particle continues to repeat its motion.įrequency is defined as the quantity of oscillations per second.Īngular frequency = 2πf = 2π/T and frequency = 1/T It is the particle's greatest deviation from the mean position. The location where there is no net force acting on the particle. The restoring torque (or) angular acceleration exerted on the particle should always be proportionate to the particle's angular displacement and pointed in the direction of the equilibrium location. The restoring force or acceleration imposed on the particle should always be inversely proportional to the particle's displacement and pointed in the direction of the equilibrium position.Īn angular simple harmonic motion occurs when a system oscillates angularly long with respect to a fixed axis. Simple harmonic motion is referred to when a particle oscillates in a straight line and around a set point (known as the equilibrium position).Consider a spring-mass system. Simple Harmonic Motion, or SHM, may be divided into two categories: Simple harmonic motion has a stable equilibrium at the mean position.A restoring force will aim towards the equilibrium position (or average position).The route of the item must be a straight line.It is a particular instance of oscillation along a straight line between the two extreme locations (the path of SHM is a constraint).A reliable equilibrium position is the mean position.The mean position (or equilibrium position) along any route is the location at which an item will continue to move while oscillating between two extreme positions around a fixed point.Simple pendulum oscillation and the spring-mass system are two examples. It is a particular kind of periodic motion that is limited by two extremes.A particle moving back and forth around a mean position is referred to as oscillatory motion when It travels on either side of the equilibrium or mean position.After an equal amount of time has passed, a motion repeats itself.The negative sign indicates that the force acts in the opposite direction of motion Difference Between Simple Harmonic, Periodic and Oscillation Motion X is the displacement of the mean position The force generated by the spring is given by the formula:.When the mass which rests on a frictionless surface is extended, the spring exerts a restoring force equal to the magnitude of the extension.A simple example of an SHM is the spring-mass system shown in the diagram above.In fact, SHM can be called a special case of oscillatory motion.From this, we can see that all SHM are oscillatory in nature, but not all oscillatory motion is simple harmonic.An oscillatory motion becomes simple harmonic when the acceleration of the particle is directly proportional to its displacement from the mean position.However, the motion of a pendulum is both oscillatory and periodic.From the example, we can see that not all periodic motion is oscillatory. The movement of the hands of a clock exhibits periodic motion.A periodic motion is a type of motion that repeats itself over a period of time.At the mean position, the pendulum has maximum velocity, and at the extreme position, a restoring force pulls it back.
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