They , After this data was collected we studied to determine the length of the period of each oscillation. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). This was proved experimentally with incredible accuracy. This type of motion is also called oscillation, motion. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 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. Download Free PDF. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. This sensor was calibrated at 2 point, a zero mass and with a known mass. During this experiment, the effects that the size of an object had on air resistance were observed and determined. The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 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 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. Calculation and Result: The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. SHM means that position changes with a sinusoidal dependence on time. One cycle of kinematics, including . Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. Report On Simple Harmonic Motion | WePapers associated with this experiment. maximum distance, When a mass is added to the spring it takes the length of . For example in Figure 3, the initial position of In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. This period is defined as where, . 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 - 8:30 p.m. April 2016 a) Conceptual/Theoretical Approach: Lab-Name-Rayhan Chowdhury. They must be answered by They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. This was the most accurate experiment all semester. 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. values can balance larger forces than springs with low , . We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. EssaySauce.com is a completely free resource for students. Simple Harmonic Motion Lab Report - 545 Words | Studymode We first need to understand how to calculate the force of a spring before performing this lab. (download the rest of the essay above). It does not store any personal data. . Simple harmonic motion is governed by a restorative force. Course Hero is not sponsored or endorsed by any college or university. When a 0.200kg mass is added to the mass pan, the spring This conclusion meets our objective to find the relationship between Mass and F in a spring. Solved Hello,I am needing a little help improving my lab - Chegg In a simple pendulum, moment of inertia is I = mr, so 2 T =. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Analysis: We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. 692. 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. PDF Simple Harmonic Motion and Damping - Gatech.edu Our complete data is shown in Table 1.0 on the next page. This type of motion is characteristic of many physical phenomena. The purpose of this lab experiment is to study the behavior of springs in Create your website today. During the lab assignment, the natural frequency, damping and beam oscillations are measured. The cookie is used to store the user consent for the cookies in the category "Performance". Download the full version above. motion. where "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . 1 15 5 3 14.50 0.20 5 However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. You can view ourterms of use here. /Supplement 0 the spring force acting on the body. View PDF. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Damped Harmonic Motion Lab Report - 838 Words | Studymode A low value for The spring force must balance the weight of the added mass 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. 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. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. is stretched to the 0.320m-mark as shown in Figure 4. , Simple Harmonic Motion in a Spring-Mass System | Science Project Simple harmonic motion. 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. record in order to take data for a Hooke's Law experiment when the spring-mass Simple Harmonic Motion. Simple Harmonic Motion (SHM): Definition, Formulas & Examples Purpose. values. It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. increases), the period decreases which has the effect of increasing the Generally speaking, springs with large The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Fig 4. ?? is known as the spring force. Each of the reasons for errors But this only works for small angles, about 5 or so. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 In this lab, we will observe simple harmonic motion by studying masses on springs. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. position regardless of the direction of the displacement, as shown in The same thing should happen if the mass stays constant and the spring constant is doubled. Enter TA password to view sample data and results of this % Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). 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. 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. 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. 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. 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. (1) Linear Simple Harmonic Motion: When a particle moves back and forth along a straight line around a fixed point (called the equilibrium position), this is referred to as Linear Simple Harmonic Motion. 10 0 obj ~ 5";a_x ~10). Based on this data, does a rubber band 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. Which set of masses will you use for this experiment, the hooked masses How is this We will study how a mass moves and what properties of spring give the mass a predictable movement. TA. Necessary cookies are absolutely essential for the website to function properly. static and dynamic situations. The baseball is released. 1: Rectangular beam clamped one one end and free on the other 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. This cookie is set by GDPR Cookie Consent plugin. Introduction should be answered in your lab notebook. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). and is given by. When the body Specifically how it oscillates when given an initial potential energy. Equation 1 applies to springs that are initially unstretched. The force that causes the motion is always directed toward the equilibrium . Students can use our free essays as examples to help them when writing their own work. and fill in the relevant information and Lab report no 2 pemdulum phyisc 212 1. You can get a custom paper by one of our expert writers. shocks are compressed a distance of 7.0cm. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. Give us your email address and well send this sample there. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. attach their own copy to the lab report just prior to handing in the lab to your This value could be denoted as, . The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. The uncertainty is given by half of the smallest division of the ruler that we used. The cookie is used to store the user consent for the cookies in the category "Other. . This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Simple Harmonic Motion - A2 Physics - SlideShare means the period will also increase, thereby requiring more time for the F_s = -kx F s = kx. Hooke's Law and the Simple Harmonic Motion of a Spring Lab 3: Dashpot (an oil-filled cylinder with a piston) These Questions are also found in the lab write-up template. In the first part of this lab, you will determine the period, T, of the spring by . These Nudge Questions are to Download. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. for an individual spring using both Hooke's Law and the It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. 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. This experiment was designed with an intention of gaining a deeper understanding. Equation 1: F = kx F = k x. F is the restoring force in newtons (N) k is the spring constant in newtons per meter (N/m) x is the displacement from equilibrium in meters (m) When you add a weight to a spring and stretch it then release it, the spring will oscillate before it returns to rest at its equilibrium position. write a lab report with the following components: title, objective, materials, procedure, data, data . Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 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(See. Then a spring was hung from the sensor and it was torn to a zero point. In the first part of this lab, you will determine the period, T, of the . We do NOT offer any paid services - please don't ask! It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. V= length (m) / time (s) Experiment 11- Simple Harmonic Motion - Studocu The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). This sensor was set to a frequency of. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . By clicking Accept All, you consent to the use of ALL the cookies. A large value for How many data points will you take for this experiment? (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . For example, radiation . After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. We can then determine the spring constant for this spring: 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. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. Procedure. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . In other words, the spring 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 The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 The cookies is used to store the user consent for the cookies in the category "Necessary". /Length 33985 Here the constant of proportionality, 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. Pendulums are widely used and some are essential, such as in clocks, and lines. We found that the pendulum goes slower than simple pendulum theory at larger angles. That is, if the mass is doubled, T squared should double. But opting out of some of these cookies may affect your browsing experience. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). indicates that the spring is stiff. for 14-16. : an American History (Eric Foner). simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. This is consistent with the fact that our measured periods are systematically higher. If the body in Figure 4 is displaced from its equilibrium position some What is the uncertainty in the position measurements? Available from: [Accessed 04-03-23]. ( = 1.96N). Experiment 2 measures simple harmonic motion using a spring. This cookie is set by GDPR Cookie Consent plugin. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. A Case Study on Simple Harmonic Motion and Its Application %PDF-1.7 V. Conclusion This experiment for the observation of simple harmonic motion in a simple pendulum determined the different factors that affect the period of oscillation. study the effects, if any, that amplitude has on the period of a body Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. properties of an oscillating spring system. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). The . force always acts to restore, or return, the body to the equilibrium c"p. What is the uncertainty in your value for. PDF Simple Harmonic Motion - United States Naval Academy 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 spring will exert a force on the body given by Hooke's Law, namely. website builder. is the displacement of the body from its equilibrium position (at section 20362. 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. The corresponding value of \(g\) for each of these trials was calculated. 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. is suspended from a spring and the system is allowed to reach equilibrium, Question: Hello,I am needing a little help improving my lab report. Abstract. Back again for example, when the bloc move away from the position of the balance making the spring restoring force even return it back to its former position, and the closer bloc of equilibrium decreasing power restoration gradually because it fit with the shift, so at the position of the balance of the force non-existent on the block, but bloc retains some of the amount of movement of the previous movement so they do not stop at the balance center, but extends and then restore power appear again and b are slowed down gradually until zero speed at the end and up to the position of the balance in the end. This website uses cookies to improve your experience while you navigate through the website. 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. AP Physics Lab 12: Harmonic Motion in a Spring - YouTube The site offers no paid services and is funded entirely by advertising. Lab. stretched or compressed a small distance from its equilibrium position, When a mass, The following data for each trial and corresponding value of \(g\) are shown in the table below. 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. This was proved experimentally with incredible accuracy. In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring.