Describe and predict the motion of a damped oscillator under different damping. Pendulums video simple harmonic motion khan academy. Computerbased experiment set for simple harmonic motion of mass on springs figure 8 shows the computerbased experiment set for simple harmonic motion of mass on spring experiment. Simple harmonic motion manual university of ottawa. T period, or the length of time it takes for the pendulum to swing back and forth. This experiment provides students with the possibility of understanding the differences between theoretical models that include wellknown. Pdf a case study on simple harmonic motion and its. The topic is quite mathematical for many students mostly algebra, some trigonometry so the pace might have to be judged accordingly. We will determine the spring constant, for an individual spring using both hookes law and the properties of an oscillating spring system.
Pdf the simple harmonic motion of a springmass system generally exhibits a. Simple pendulum the motion of a pendulum can be treated as simple harmonic if. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. You will use a motion detector to generate graphs of position, velocity, and acceleration for simple harmonic motion. Simple harmonic motion 2 terminology for periodic motion period t the time, in seconds, it takes for a vibrating object to repeat its motion seconds per vibration, oscillation or cycle frequency f the number of vibrations made per unit time vibration, oscillation or cycles per second hz t 1f the relationship is reciprocal. Physics lab report 2 hookes law and simple harmonic. How does the period from the simulation compare to the theoretical period. The motion is damped and the amplitude decreases with time, therefore 7 where. If we suspend a mass at the end of a piece of string, we have a simple pendulum.
To study hookes law, and simple harmonic motion of a mass oscillating on a spring. What additional physical factors, not included in the basic theoretical model we used, might affect the period of the oscillator. Introduction hypothesis the pendulum and the spring mass system will behave in a simple harmonic motion and are dependent on 2 variables that are different to each system. Pull the mass down to stretch the spring about 20 cm. A good example of shm is an object with mass \ m\ attached to a spring on a frictionless surface, as shown in figure \ \pageindex 2\.
Place a stool under the hanger and measure the initial height x0 above the stool. Rezero the motion detector with the mass at rest, then set the hangermass system in simple harmonic motion. The spring constant refers to how stiff a spring is. For our final lab of associated with physics i, we will dissect the motions of a mass on a spring. Remove the 300 g from your mass hanger in order to have a setup as in figure 1a empty mass hanger. Simple harmonic motion, oscillations, wavelength, frequency, period, hookes law. In this paper, we are going to study about simple harmonic motion and its applications. Data sheet simple harmonic motion january 1, 20 procedure 1. The general expression for simple harmonic motion is. Such oscillatory motion is called simple harmonic motion. Since the spring obeys hookes law, the motion is one of simple harmonic i. For the mass spring system, the period of the motion. Simple harmonic motion factors that influence the change. Simple pendulum lab report phys 215 physics laboratory i.
Furthermore we will be looking at how those simple harmonic motions can occur in spring as well as pendulums. Galileo galilei isaac newton michael faraday sample albert einstein lab report. Click on intro window on screen there should be two equal length springs suspended. You will measure the period of simple harmonic motion for six different masses and graph the results.
Recall that simple harmonic motion occurs whenever there is a restoring force which is proportional the displacement from equilibrium. F kx, 1 where x is the displacement of the spring from equilibrium, f is the force exerted by the spring, and k is. It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. Hookes law and the simple harmonic motion of a spring lab the purpose of this lab is to find the force constant of a spring and to also study the motion of a spring with a hanging mass when vibrating under the influence of gravity. Simple harmonic motion shm follows logically on from linear motion and circular motion. Hookes law and the simple harmonic motion of a spring lab. Simple harmonic motion or shm is the simplest form of oscillatory motion.
The magnitude of force is proportional to the displacement of the mass. 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. The simplest example of simple harmonic motion is that of a mass m on a spring which obeys hookes law. This is a lab report for a physics experiment on simple harmonic motion. The simple pendulum in this laboratory, you will investigate the effects of a few different physical variables on the period of a simple pendulum. Simple harmonic motion mass on a spring 01207000a p. Lab 1 this is a lab report for a physics experiment on simple harmonic motion. Simple harmonic motion 3 shm description an object is said to be in simple harmonic motion if the following occurs. Simple pendulum and properties of simple harmonic motion purpose a.
Simple harmonic motion simple pendulum phys 215, t 3pm purpose the purpose of this experiment was to prove that the period of a simple pendulum is independent of both the mass of the hanging object and the angle of displacement of the pendulum. In this video we consider simple harmonic motion a special type of oscillation which is part of the a level syllabus and important to the work of researchers at the university. If it does come to rest in a short time, you should tell your lab instructorta so that they can adjust your setup or replace your glider to reduce the source of friction. Harmonic oscillation learning goals after you finish this lab, you will be able to. Experimental study of simple harmonic motion of a spring. Underdamped simple harmonic motion 2 experiment 21 object. To investigate the dependence of time period of a simple pendulum on the length of the pendulum and the acceleration of gravity. Physics 326 lab 6 101804 1 damped simple harmonic motion purpose to understand the relationships between force, acceleration, velocity, position, and period of a mass undergoing simple harmonic motion and to determine the effect of. Appendix b objective to investigate simple harmonic motion using a simple pendulum and an oscillating spring. A microcontroller is connected to a computer and an electronic circuit in order that the time at any fixed points will be read. In this experiment you will measure the spring constant using two different methods and compare your results. This lab is set up for us to to be able to determine the spring constant with two different methods and the gravitational acceleration with a pendulum. Lab 1 this is a lab report for a physics experiment on.
We also calculated an experimental value for acceleration due to gravity using the period. Theory a simple pendulum is a small object that is suspended at the end of a string. To demonstrate that the motion of the torsion pendulum satisfies the simple harmonic form in equation 3 2. The force is always opposite in direction to the displacement direction. In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement. Simple harmonic motion while this could be due to errors in conducting the experiment or setting up your program, it could also be because the analytical model and simulation do not take into account a. Describe quantitatively and qualitatively the motion of a real harmonic oscillator 2. The variables we consider are mass, length of the pendulum, and angle of initial dislocation.
It is one of the more demanding topics of advanced physics. Hang the spring from the pendulum clamp and hang the mass hanger from the spring. In order to test this hypothesis an experiment is designed with the purpose of making precise and accurate measurements. Add 50 g to the mass hanger and determine the change in position caused by this added weight. Here, the to and fro motion represents a periodic motion used in times past to control the motion of grandfather and cuckoo clocks. The simple harmonic motion of a springmass system generally exhibits a behavior strongly influenced by the. Simple harmonic motion is a special type of periodic motion, such that an object. Simple harmonic motion introduction the simple harmonic oscillator a mass oscillating on a spring is the most important system in physics. Shm arises when force on oscillating body is directly proportional to the displacement from its equilibrium position and at any point of motion, this force is directed towards the equilibrium position. Instructor so, as far as simple harmonic oscillators go, masses on springs are the most common example, but the next most common example is the pendulum. The goal of this experiment is to familiarize ourselves with the physical properties of simple harmonic motion and collect data that will allow us to determine the parameters required to model a simple harmonic oscillator mathematically. It gives you opportunities to revisit many aspects of physics that have been covered earlier. Springs and oscillations part 2b simple harmonic motion name partner date vpython simulation of position versus time. Simple harmonic motion shm is the motion of an object subject to a force that is proportional to the objects displacement.
Theory a simple pendulum may be described ideally as a point mass suspended by a massless. Development of computerbased experiment set on simple. Any system which is in stable equilibrium and disturbed slightly will undergo oscillations. This experiment provides students with the possibility of. In addition, in experiment one we should see how amplitude period and frequency has a relation. Find a mathematical function that fits the motion of an oscillator. Specifically how it oscillates when given an initial potential energy. Pdf experimental study of simple harmonic motion of a spring.
There are several reasons behind this remarkable claim. The glider should now oscillate about its equilibrium position without coming to a stop too quickly. When the hanger has reached the position you believe corresponds to. Simple harmonic motion austin community college district. In this lab the experiments will be exploring what periodic motion is, and how compare amplitude periods plus analyzing those frequencies to harmonic motion. Experimental study of simple harmonic motion of a springmass system as a function of spring diameter 43053 measure t, a mass m 0. To show that the period or angular frequency of the simple harmonic motion of the torsion pendulum is independent of the amplitude of the motion 3. Your pendulum will consist of a light string and a bob the weight at the end of the string. Let it oscillate a few times so the mass hanger will move upanddown without much sidetoside motion. To use a nonlinear leastsquares fitting procedure to characterize an oscillator. This speed of 4 ms is the initial speed for the oscillatory motion. The time interval for each complete vibration is the same.
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