Introduction to simple harmonic motion powerpoint slides. Unit 8 simple harmonic motion and waves ap physics 1. These are some simple harmonic motion animations and show sinusoidal oscillations useful for talking about waves, standing waves, etc. The cornell style notes follow along and by the end of the lesson the student has a complete set of notes on shm and some example. Find powerpoint presentations and slides using the power of, find free presentations research about simple harmonic motion ppt. We learn a lot of concepts in the classroom and in textbooks. Click here to see how simple harmonic motion relates to circular motion. A concept gets its true meaning only when we see its applications in real life. The focus of the lecture is simple harmonic motion. Energy that is stored in elastic materials as a result of their stretching. Is independent of amplitude and acceleration due to gravity.
Displacement, velocity and acceleration, chladni patterns and sinusoidal vibration. Defining equation of linear simple harmonic motion. Ppt simple harmonic motion powerpoint presentation. Objects move in uniform circular motion on a path known as the reference circle. Chapter simple harmonic motion the coordinate x is a superposition of sin t and cos t functions. Oct 29, 2015 there is a close connection between circular motion and simple harmonic motion, according to boston university. A body is said to be in simple harmonic motion, if it moves to and fro about its mean position such that, at any given point its acceleration is directly proportional to its. A motion that repeats itself in equal intervals of time is periodic. Elastic potential energy and simple harmonic motion a. Here, i am attempting to discuss some of the reallife applications of simple harmonic motion. Relation between uniform circular motion and shm 26.
The glider is released at maximum extension from the equilibrium position, meaning that we can take this point to be t 0. Simple harmonic motion simple harmonic motion in this article, we shall study, the concept of linear simple harmonic motion s. Displacement is measured from the equilibrium point. Examples of simple harmonic motion in everyday life. Period is the time taken for the motion to repeat one cycle frequency is the number of cycles in a second example. Consider the particle in uniform circular motion with radius a and angle. Simple harmonic motion the periodic nature of the trigonometric functions is useful for describing motion of a point on an object that vibrates, oscillates. Simple harmonic motion 3 shm description an object is said to be in simple harmonic motion if the following occurs. Mass on a spring description this simulation shows the oscillation of a box attached to a spring.
Simple harmonic motion is governed by a restorative force. A sheet fixed at one end and vibrating at the other end. Write and apply formulas for finding the frequency f, period t, velocity v, or acceleration acceleration ain terms of displacement displacement xor time t. Simple harmonic motion 5 shm hookes law shm describes any periodic motion that results from a restoring force f that is proportional to the displacement x of an object from its equilibrium position. An understanding of simple harmonic motion will lead to an understanding of wave motion in general. Linear simple harmonic motion is defined as the linear periodic motion of a body in which the restoring force is always directed towards the equilibrium position or mean position and its magnitude is directly proportional to the displacement from the equilibrium position.
The time interval of each complete vibration is the same, and. Periodic motion simple harmonic motion connections between uniform circular motion and simple harmonic motion the period of a mass on a spring energy conservation in oscillatory motion simple harmonic motion. This is an example of harmonic motion, a special class of oscillatory motion. This 23 slide physics lesson package discusses elastic potential energy and simple harmonic motion including hookes law, elastic potential energy, energy transfer and simple harmonic motion. In simple harmonic motion, the object does not go in a circle, but it also returns to its starting position in t seconds. As you can see from our animation please see the video at 01. Periodic motion is the motion in which an object repeats its path in equal intervals of time. The two types of harmonic motion studied in ap physics are the mass spring oscillator and the simple pendulum. The angular frequency and period do not depend on the amplitude of oscillation. The magnitude of force is proportional to the displacement of the mass. Simple harmonic motion blockspring a block of mass m, attached to a spring with spring constant k, is free to slide along a horizontal frictionless surface. Simple harmonic motion occurs when the restoring force is proportional to the displacement from equilibrium.
The spring force will be equal and opposite to the applied force, as it is a tension that is a reaction force. The ppt has been primarily designed for students of engineering whereby shm is a topic under engineering physics. Simple harmonic motion ap physics b simple harmonic motion back and forth motion that is caused by a force that is directly proportional to the displacement. The force is always opposite in direction to the displacement direction. Dec 26, 2014 an object in simple harmonic motion has the same motion as of an object in uniform circular motion.
This section covers the mathematical areas mathematical modelling simple harmonic motion oscillations hookes law the resource consists of teacher notes and software for use in the activities. Simple harmonic motion a system can oscillate in many ways, but we will be. Simple harmonic motion is a special case of periodic motion. Simple harmonic motion gif animations teaching resources. Demonstrating when a pendulum is in simple harmonic motion. Ap physics b simple harmonic motion back and forth motion that is caused by a force that is directly proportional to the displacement. The velocity is zero, but the acceleration is negative because there is a net downward force. Such a motion in which acceleration is directly proportional to the displacement and is directed towards the mean position is called simple harmonic motion shm. Have you ever watched a slinky gyrate back and forth.
A free powerpoint ppt presentation displayed as a flash slide show on id. Periodic motion a motion which repeats itself after regular intervals of time is called periodic motion. For example i motion of all planets, comets etc, around the sun. Simple harmonic motion welcome to mrs shultzs math powerpoint presentation presentation title. Simple harmonic motion and its relationship with circular motion.
Introduction to harmonic motion video khan academy. Simple harmonic motion simple harmonic motion shm is vibration about an equilibrium position in which a restoring force is directly proportional to the. Shm and circular motion any motion that repeats over and over again, always returning to the same position is called periodic. Define the terms period and frequency list the characteristics of simple harmonic motion explain. A summary of applications of simple harmonic motion in s applications of harmonic motion. Consider a point on the rim of a disk as it rotates counterclockwise at a constant. The displacement centers around an equilibrium position.
May 11, 2011 simple harmonic motion is a type of periodic or oscillatory motion the object moves back and forth over the same path, like a mass on a spring or a pendulum ppt presentation displayed as a flash slide show on id. View and download powerpoint presentations on simple harmonic motion ppt. If the restoring force f is directly proportional to the displacement x, the oscillation is known as simple harmonic motion shm. In simple harmonic motion, like any motion, can be described in terms of displacement, velocity, and acceleration. Oscillations this striking computergenerated image demonstrates. Also, shm requires that a system has two forms of energy and a method that allows the energy to go back. Elements may be used by teachers, while students may use the whole package for self instruction or for reference. One of the simplest type of simple harmonic motion is called hookes law. A body is said to be in simple harmonic motion, if it moves to and fro about its mean position such that, at any. Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. Professor shankar gives several examples of physical systems, such as a mass m attached to a spring, and explains what happens when such systems are disturbed. Physics i chapter 12 simple harmonic motion shm, vibrations, and waves many objects vibrate or oscillate guitar strings, tuning forks, pendulum, atoms within a molecule and atoms within a crystal, ocean waves, earthquake waves, etc. Last lecture simple harmonic motion, f, t determined by mass and spring constant a, determined by initial conditions.
Learn exactly what happened in this chapter, scene, or section of applications of harmonic motion and what it means. Linear simple harmonic motion is defined as the motion of a body in which. Ppt simple harmonic motion powerpoint presentation free. Units of chapter periodic motion simple harmonic motion connections between uniform circular motion and simple harmonic motion. An example is hookes law for an ideal spring applying newtons second law gives a secondorder ordinary differential equation the solution of which is a sinusoidal variation of position in time any system with displacement following this form is said to be undergoing simple harmonic motion. Shm occurs when a particle or body is displaced from an equilibrium position and experiences a restoring force i. At t 0 the blockspring system is released from the equilibrium position x 0 0 and with speed v 0 in the negative xdirection. Oscillations is the multimedia chapter on oscillations, which analyses the forces and energies involved in simple harmonic motion. The following is a powerpoint presentation that has many animations built in and places for talking points about shm. We need to know what periodic motion is to understand simple harmonic motion. For a springmass system, such as a block attached to a spring, the spring force is responsible for the oscillation see figure 1. There is probably no topic in general physics of greater interest to physicists than simple harmonic motion.
The mass starts at its maximum positive displacement, y a. Simple harmonic motion is the kind of vibratory motion in physics in which the body moves back and forth about its mean position. Describe the motion of pendulums pendulums and calculate the length required to produce a given frequency. Simple harmonic motion simple harmonic motion siam refers to a certain kind of oscillatory, or wavelike motion that describes the behavior of many physical phenomena. There then follows teacher notes and a powerpoint describing each of the five activities. Simple harmonic motion shown both in real space and phase space. Background material for simple harmonic motion shm as a projection of circular motion. Energy and simple harmonic motion any vibrating system where the restoring force is proportional to the negative of the displacement is in simple harmonic motion shm, and is often called a simple harmonic oscillator. Apr 06, 2012 simple harmonic motion shm is a difficult concept explained here with practical demonstrations and examples, including the connections between the changing forces, acceleration and velocity.
There is a close connection between circular motion and simple harmonic motion, according to boston university. Harmonic motion is periodic and can be represented by a sine wave with constant frequency and amplitude. The first animation is a cartoon describing aspects of one state of the quantum mechanical wave function of a. Simple harmonic motion shm position, velocity, and acceleration springs and simple harmonic motion equations of motion conservation of energy allows a calculation of the velocity of the object at any position in its motion. Simple harmonic motion shm powerpoint, notes, worksheet, examples and exit quiz. Microsoft powerpoint chapter14 compatibility mode author. There are five practice questions to keep your students engaged throughout with the answers included on the. An example of this is a weight bouncing on a spring.
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