This page of the essay has 833 words. The corresponding value of \(g\) for each of these trials was calculated. This was the most accurate experiment all semester. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. When the mass travels from the Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . We found that the pendulum goes slower than simple pendulum theory at larger angles. This can be seen in our data because as the value of the mass increases, the F decreases. /Ordering (Identity) The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 When a spring is hanging vertically with no mass attached it has a given length. endobj attach their own copy to the lab report just prior to handing in the lab to your position regardless of the direction of the displacement, as shown in Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. James Allison, Clint Rowe, & William Cochran. properties of an oscillating spring system. If the mass is tripled, t squared should triple also. This value could be denoted as, . 10 0 obj Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. 1 15 5 3 14.50 0.20 5 Then a spring was hung from the sensor and it was torn to a zero point. 2). Here the constant of proportionality, What mass values will you use for this experiment? When a mass, What was the goal of the simple pendulum experiment? In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. /Length1 81436 Calculation and Result: Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 After this data was collected we studied to determine the length of the period of each oscillation. Experiment 2 measures simple harmonic motion using a spring. as you perform the experiment. Each of the reasons for errors Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. experiment (MS Word format): As of now, there are no of the spring force equals the weight of the body, By continuing, you agree to our Terms and Conditions. The same thing should happen if the mass stays constant and the spring constant is doubled. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. We built the pendulum with a length \(L=1.0000\pm 0.0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. where Under the influence of gravity on Earth, it, Write name and date. Introduction By clicking Accept All, you consent to the use of ALL the cookies. , They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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. 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. The period that you solved for will be your theoretical period. and fill in the relevant information These cookies track visitors across websites and collect information to provide customized ads. This period is defined as where, . In Simple harmonic motion, the mean position is a stable equilibrium. 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. Analytical cookies are used to understand how visitors interact with the website. The rest of the first part requires you to add 20 grams to the hanging mass and then measuring how far the sliding mass has moved for the equilibrium position. Start Now. Simple Harmonic Motion Equation. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . We will determine the spring constant, We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. . The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. In other words, the spring What is the uncertainty in your value for. Type your requirements and Ill connect you to If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). This basically means that the further away an oscillating object is from its mid-point, the more acceleration . where Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum Yes! Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance Each person should velocity and acceleration all vary sinusoidally. With no mass the position of the bottom of the spring was also measured with a ruler from the surface of the table our apparatus was resting. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. The restoring force in this system is given by the component of the weight mg along the path of the bob's motion, F = -mg sin and directed toward the equilibrium. 206Conclusion Sample-2004 206ConSam. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. is always opposite the direction of the displacement. The . Course Hero is not sponsored or endorsed by any college or university. The purpose of this lab experiment is to study the behavior of springs in 21d Simple Harmonic Motion-RGC 03-03-09 - 4 - Revised: 4/8/08 Theory - Spring An example of simple harmonic motion also includes the oscillations of a mass attached to the end of a spring. the spring force acting on the body. Necessary cookies are absolutely essential for the website to function properly. The considerable success of Boolean function analysis suggests that discrete harmonic analysis could likewise play a central role in theoretical computer science._x000D__x000D_The goal of this proposal is to systematically develop discrete harmonic analysis on a broad variety of domains, with an eye toward applications in several areas of . Each person in the group 1.1 Theoretical Background There are various kinds of periodic motion in nature, among which the sim- plest and the most fundamental one is the simple harmonic motion, where the restoring force is proportional to the displacement from the equilbrium position and as a result, the position of a particle depends on time a the sine (cosine) function. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) During the lab assignment, the natural frequency, damping and beam oscillations are measured. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Investigate the length dependence of the period of a pendulum. But this only works for small angles, about 5 or so. These cookies will be stored in your browser only with your consent. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). stretched or compressed a small distance from its equilibrium position, For the lab, we first attacheda spring to the ring stand. when the mass increases the frequency decreases. , When a mass is added to the spring it takes the length of . These Nudge Questions are to body to complete one oscillation is defined as the period, Answer (1 of 5): The sources of errors in a simple pendulum experiment are the following: 1. human errors comes in when measuring the period using a stopwatch. Does the value of the oscillation amplitude affect your results? For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. >> Whilst simple harmonic motion is a simplification, it is still a very good approximation. That is, if the mass is doubled, T squared should double. What quantities will you plot in order to determine. in the opposite direction, the resulting motion is known as simple harmonic The time required for the No- 3. 9: Small weights Keeping the paper taut That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. Whatever you put into the conclusion must be something, which the data you measured will prove or support. oscillating body and the spring constant, system is oscillating? Views. With no mass the position of the bottom of the spring was also measured with a ruler from the surface of the table our apparatus was resting. Course Hero is not sponsored or endorsed by any college or university. where The variation of the time period with increasing oscillation was studied for the simple harmonic motion (SHM) and for large angle initial displacements (non-SHM). We also use third-party cookies that help us analyze and understand how you use this website. body's average velocity. Generally speaking, springs with large PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS Why Lab Procedures and Practice Must Be Communicated in a Lab. stream TA. 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They must be answered by If you use part of this page in your own work, you need to provide a citation, as follows: Essay Sauce, Simple Harmonic Motion lab report. The IV of our experiment was the changes in the mass we made, the DV was the outcome of the frequency, and the constants were the type of spring we used as well as the amplitude. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. values. Then a spring was hung from the sensor and it was torn to a zero point. and then released, it will oscillate about the equilibrium position. The spring constant refers to how "stiff" a spring is. Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. We recorded these oscillations with data studio for about 10 seconds. interesting expression for its period by looking into it a little more. The objective of this lab is to understand the behavior of objects in simple harmonic motion by determining the spring constant of a spring-mass system and a simple pendulum. is the known as the spring constant, and However, you may visit "Cookie Settings" to provide a controlled consent. CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. 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. Since each lab group will turn in an electronic copy of the lab report, %PDF-1.7 V= length (m) / time (s) The uncertainty is given by half of the smallest division of the ruler that we used. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. We achieved percent error of only . 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. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.3. These Science essays have been submitted to us by students in order to help you with your studies. Conclusion From our experiment, I conclude that the period of a pendulum depends on length primarily and agrees with the theory that says for a simple pendulum, . Each lab group should Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. You can view ourterms of use here. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. The string is clamped, and when it is displaced, it . The equation for a pendulum that relates the variables involved is: 2 f =. Legal. The exercises carried out involved recording the position of . the we attacheda 0.5kg mass to the spring. The cookies is used to store the user consent for the cookies in the category "Necessary". . 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. Give us your email address and well send this sample there. associated with this experiment. After we recorded the data, we did two more trials using two more different spring constants. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . In this lab, we will observe simple harmonic motion by studying masses on springs. From your data and graph, what is the minimum mass. When an oscillating mass (as in the case of a mass bouncing on a spring) We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. This cookie is set by GDPR Cookie Consent plugin. Damped Harmonic Motion Lab Report. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000