James Allison, Clint Rowe, & William Cochran. Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. This sensor was set to a frequency of . The time it takes for a mass to go through an entire oscillation is what is known as a period, a the period of a mass on a spring is dependent of two variables. The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. experiment (MS Excel format): Enter TA password to view answers to questions from this During the lab assignment, the natural frequency, damping and beam oscillations are measured. The corresponding value of \(g\) for each of these trials was calculated. In Simple harmonic motion, the mean position is a stable equilibrium. The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. Conclusion: as you perform the experiment. Two types of springs (spring I and II) with . . The value of mass, and the the spring constant. Create your website today. obey Hooke's Law? Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. when the mass increases the frequency decreases. Each lab group should Lab. is stretched to the 0.320m-mark as shown in Figure 4. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . (See. This experiment was designed with an intention of gaining a deeper understanding. These cookies ensure basic functionalities and security features of the website, anonymously. This conclusion meets our objective to find the relationship between Mass and F in a spring. You also have the option to opt-out of these cookies. After this data was collected we studied to determine the length of the period of each oscillation. 3 14.73 5 2.94 14.50 0.20 5 This sensor was set to a frequency of. We also use third-party cookies that help us analyze and understand how you use this website. By continuing, you agree to our Terms and Conditions. The circuit is exquisitely simple - We recorded these oscillations with data studio for about 10 seconds. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. Therefore, if we know the mass of a body at equilibrium, we can determine will move back and forth between the positions Aim: Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Views. By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. . It does not store any personal data. Whilst simple harmonic motion is a simplification, it is still a very good approximation. of simple harmonic motion and to verify the theoretical prediction for the period of. Necessary cookies are absolutely essential for the website to function properly. In part two of this lab, you will attach a spring on either side of a sliding mass on a frictionless air track and have a photo gate measure the period as the mass oscillates. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. Investigate OReilly Automotive, Inc. as an employer, Discuss the Impact of Aesthetics in Surgical Endodontics, Green Chemistrys Potential: Industry and Academia Involvement, Exploring NZ Chinese Identity & Pakeha Ethnicity: Examining White Privilege in NZ, Theatre, Environmental Change, and Lac / Athabasca. At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. /Registry (Adobe) Attached will be the lab experiment we did and the results I recorded. Simple Harmonic Motion Lab Report. and fill in the relevant information The oscillating motion is interesting and important to study because it closely tracks many other types of motion. [2] North Carolina State University Physics. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. Lab report no 2 pemdulum phyisc 212 1. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. View PDF. Well occasionally send you promo and account related email. This is consistent with the fact that our measured periods are systematically higher. Purpose. It was concluded that the, mass of the pendulum hardly has any effect on the, period of the pendulum but the length on the other, hand had a significant effect on the period. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. This involved studying the movement of the mass while examining the spring properties during the motion. The negative sign in Equation 1 indicates that the direction of A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. as shown in Figure 2, Newton's Second Law tells us that the magnitude We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. Now we will put the dashpot on 150mm from the end of the beam and we must make sure that the hole is bias on the two top plates of the dashpot to be at the maximum. A pendulum is a simple set up in which a string is attached to a small bob. James Allison. The naming convention is as write a lab report with the following components: title, objective, materials, procedure, data, data . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) The data correlate close to Hooke's Law, but not quite. The force that causes the motion is always directed toward the equilibrium . The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. The period that you solved for will be your theoretical period. Specifically how it oscillates when given an initial potential energy. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. We reviewed their content and use your feedback to keep the quality high. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). be sure to rename the lab report template file. This cookie is set by GDPR Cookie Consent plugin. % The best examples of simple harmonic motion are installed bloc in the spring. Download. maximum distance, . Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. The spring constant refers to how "stiff" a spring is. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. This cookie is set by GDPR Cookie Consent plugin. Does Hooke's Law apply to an oscillating spring-mass system? Students looking for free, top-notch essay and term paper samples on various topics. analysis and conclusion. simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. What is the uncertainty in the mass measurements? We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. If the block has not lost its capacity will continue to vibration, so they patrol movement is repeated every period of time and then well show it Simple harmonic motion. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. This type of motion is characteristic of many physical phenomena. I need help with understanding the purpose of this lab. Dont know where to start? Each of the reasons for errors Day 3: What is a Battery / How Bright Are You. 7: A ruler Course Hero is not sponsored or endorsed by any college or university. Simple Harmonic Motion. . 6: Speed control unit (controls the turning speed of the chart recorder) endobj }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! values can balance larger forces than springs with low Does the value of the oscillation amplitude affect your results? associated with this experiment. In order to minimize the uncertainty in the period, we measured the time for the pendulum to make \(20\) oscillations, and divided that time by \(20\). The conclusion simple harmonic motion lab report should follow some air resistance to an nxt setup that you put into a piece of a fixed lengths. determine the minimum mass. Procedure. Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. interesting expression for its period by looking into it a little more. to the minimum displacement 1: Rectangular beam clamped one one end and free on the other Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. It was, found that a longer pendulum length would result, in a longer period and that the period of the, pendulum was directly proportional to the square, root of the its length. When a mass, Notice the period is dependent only upon the mass of the Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. /Filter /FlateDecode the spring force acting on the body. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. You can view ourterms of use here. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. a) Conceptual/Theoretical Approach: During this experiment, the effects that the size of an object had on air resistance were observed and determined. See Page 1. is 0.020m. 2 14.73 5 2.94 14.50 0.20 5 the spring force is a restoring force. I). Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Mass on a Spring. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. But this only works for small angles, about 5 or so. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). When the body Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. These experiments are suitable for students at an advanced level . for 14-16. experiences a force that is linearly proportional to its displacement but this equation can be written as. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. We can then determine the spring constant for this spring: In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. If the mass is tripled, t squared should triple also. Simple harmonic motion is governed by a restorative force. Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. 8: A stopwatch 5: A felt-tipped pen attached to the end of the beam The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. . Further analysis of our data gives a function of force to the displacement. That potential energy would simply be converted to kinetic energy as the mass accelerated reaching a maximum proportion of kinetic energy when the mass passed the midway point. Don't use plagiarized sources. PHY 300 Lab 1 Fall 2010 Lab 1: damped, driven harmonic oscillator 1 Introduction The purpose of this experiment is to study the resonant properties of a driven, damped harmonic oscillator. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. 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. We will determine the spring constant, First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features. period of 0.50s. How many data points will you take for this experiment? , . The string is clamped, and when it is displaced, it . 12 0 obj We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. Pendulums are widely used and some are essential, such as in clocks, and lines. The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. The purpose of this lab experiment is to study the behavior of springs in Then when the spring is charged with additional potential energy, by increasing the length to, the spring will exert whats called a restoring force which is defined as, is a spring constant. At t = 0, the particle is at point P (moving towards the right . Simple Harmonic Motion Equation. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Equation 1 applies to springs that are initially unstretched. When the mass travels from the This was the most accurate experiment all semester. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. study the effects, if any, that amplitude has on the period of a body The values were subtracted by one another to give a period the results are shown in table 2.1. Simple Harmonic Motion. Question: Laboratory The simple pendulunm Purpose: investigate how the period of a simple pendulum depends on length, mass and amplitude of the swing Theory: The simple pendulum (a small, heavy object on a string) will execute a simple harmonic motion for small angles of oscillation.
simple harmonic motion lab report conclusion
01. jul