Simple harmonic oscillator

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Simple harmonic oscillator

Damping revisited Free Oscillations, Forced Oscillations and Resonance If an oscillator is displaced and then released it will begin to vibrate. If no more external forces are applied to the system it is a free oscillator. If a force is continually or repeatedly applied to keep the oscillation going, it is a forced oscillator.

If you wet your finger and run it around the glass rim, your finger will force continuous vibration by repeatedly slipping and sticking very fast. This slip-stick excitation is the same as takes place when violin players use a violin bow to drive their strings.

In this extract from a slow motion video, a glass is driven into forced oscillation.

Introduction to simple harmonic motion

Downloadable Higher Quality Quicktime version 1. If the swing is pushed each time it reaches a certain point it behaves as a forced oscillator and will continue to swing for as long as energy is supplied.

This is shown below: What would happen if he pushed the swing more often, or less often? If the swing is simply lifted and let go it will swing with a natural frequency. This frequency is determined by a number of factors, of which the most important is the length of the swing from pivot to seat.

How does this natural frequency effect when the pusher should push? If the swing is pushed with a long interval between pushes, the swing will not recieve enough energy to replace that lost by damping.

This might mean that sometimes the pusher would be pushing when the swing is in the wrong location With each period, the pusher will add more energy to the system. Eventually, what usually happens is that energy supply equals energy loss to dampingand the amplitude stabilises at some large value.

If there is insufficient damping in the system the oscillation amplitude can get very large and something dramatic may happen This video can be downloaded from YouTube A little more damping e. If the oscillating system was the wing attached to the jet plane taking you on holiday, you would be hoping that the designer had incorporated sufficient damping into the structure!Simple harmonic motion evolves over time like a sine function with a frequency that depends only upon the stiffness of the restoring force and the mass of the mass in motion.

A stiffer spring oscillates more frequently and a larger mass oscillates less frequently. Spring-Mass SHM (Kinematics) To begin an oscillation, drag the block up or down and then release. The periodic motion of the block is simple harmonic because the acceleration is always proportional, but opposite to the displacement from the equilibrium position (definition of SHM)..

Simple harmonic oscillator

Properties of SHM. WIRELESS WORLD MAY Wien-bridge oscillator with low harmonic distortion New way of using Wien network to give % t.h.d.

Simple harmonic oscillator

by J. . Simple Harmonic Motion- with Examples, Problems, Visuals, MCQ Quiz Questions- Force Law, Pendulums, Phase, Amplitude, Damped Oscillations. In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x: → = − →, where k is a positive constant..

Discussion

If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic . Questions about springs on SAT II Physics are usually simple matters of a mass on a spring oscillating back and forth.

However, spring motion is the most interesting of the four topics we will cover here because of its generality.

Spring-Mass SHM Kinematics (Java)