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Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. ?? How many data points will you take for this experiment? 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. . To do this, a spring was set up with a circular object hanging at the end. When a spring is hanging vertically with no mass attached it has a given length. Analytical cookies are used to understand how visitors interact with the website. The cookie is used to store the user consent for the cookies in the category "Performance". the body is 0.300m. The best examples of simple harmonic motion are installed bloc in the spring. section 20362. 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. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). 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. position regardless of the direction of the displacement, as shown in We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.2.2. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 A low value for Furthermore, the derived, equation for calculating the period of any given, simple pendulum was also found to be very, accurate whenever the angle of displacement of the, pendulum is small since only a 1.943% percent. These cookies track visitors across websites and collect information to provide customized ads. Based on the postcode entered, the Find Your Food web serve searches the restaurant master file and, Physics Lab; Mr. Shields Hooke's Law & Springs - PhET Simulation Open the simulation:https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.html There are four, Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held at rest 10 meters above the ground. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . P14: Simple Harmonic Motion - Mass on a Spring 012-07000A p. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. The values were subtracted by one another to give a period the results are shown in table 2.1. determine the minimum mass. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Type your requirements and Ill connect you to where Whatever you put into the conclusion must be something, which the data you measured will prove or support. and then Add to Home Screen. In SHM, we are interested in its period of oscillation. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. 1: Rectangular beam clamped one one end and free on the other , Essay Sauce, Simple Harmonic Motion - lab report . In this paper, we are going to study about simple harmonic motion and its applications. This was the most accurate experiment all semester. The cookie is used to store the user consent for the cookies in the category "Analytics". Report, Pages 2 (368 words) Views. 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. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. Which set of masses will you use for this experiment, the hooked masses Here the constant of proportionality, indicates that the spring is stiff. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Simple harmonic motion. The circuit is exquisitely simple - If an applied force varies linearly with position, the force can be defined as Generally speaking, springs with large Conclusion: 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. The body What is the uncertainty in your value for. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. In this lab, we will observe simple harmonic motion by studying masses on springs. The time required for the From your description, the square of the time T for one cycle of the motion should be directly proportional to both the mass value and the spring constant. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". One cycle of kinematics, including . 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. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. From your data and graph, what is the minimum mass. c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. When the body Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. 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. , Purpose. Use the apparatus and what you know about. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . But opting out of some of these cookies may affect your browsing experience. Simple Harmonic Motion Lab Report. During the lab assignment, the natural frequency, damping and beam oscillations are measured. each individual of the group. ;E8xhF$D0{^eQMWr.HtAL8 In a simple pendulum, moment of inertia is I = mr, so 2 T =. After this data was collected we studied to determine the length of the period of each oscillation. I need help with understanding the purpose of this lab. Why Lab Procedures and Practice Must Be Communicated in a Lab. as "5 Gas Law.doc". Introduction Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. We will be recording basic information. When the mass travels from the Based on this data, does a rubber band Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. To install StudyMoose App tap We first need to understand how to calculate the force of a spring before performing this lab. is the displacement of the body from its equilibrium position (at This period is defined as, For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). 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. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Students looking for free, top-notch essay and term paper samples on various topics. We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. Since each lab group will turn in an electronic copy of the lab report, 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. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Lab report no 2 pemdulum phyisc 212 1. Group 5. Enter TA password to view sample data and results of this 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. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 3 14.73 5 2.94 14.50 0.20 5 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. Under the influence of gravity on Earth, it, Write name and date. 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 . In this lab, we will observe simple harmonic motion by studying masses on springs. We recorded these oscillations with data studio for about 10 seconds. Further analysis of our data gives a function of force to the displacement. interesting expression for its period by looking into it a little more. = 0 ). In the first part of this lab, you will determine the period, T, of the . We repeated this measurement five times. 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. 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. means the spring is soft. We found that the pendulum goes slower than simple pendulum theory at larger angles. website builder. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! record in order to take data for a Hooke's Law experiment when the spring-mass in the opposite direction, the resulting motion is known as simple harmonic attach their own copy to the lab report just prior to handing in the lab to your 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. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. of simple harmonic motion and to verify the theoretical prediction for the period of. >> The baseball is released. 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. 12 0 obj The following data for each trial and corresponding value of \(g\) are shown in the table below. Yes! (download the rest of the essay above). 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. After this data was collected we studied to determine the length of the period of each oscillation. Mass on a Spring. 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. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. is called the force constant. [2] North Carolina State University Physics. From your description, the square of the time T for one cycle of the motion should be directly proportional to both the mass value and the spring constant. It is also possible to C- Error for parallax These Questions are also found in the lab write-up template. 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. This type of motion is characteristic of many physical phenomena. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. The spring force must balance the weight of the added mass During this experiment, the effects that the size of an object had on air resistance were observed and determined. This cookie is set by GDPR Cookie Consent plugin. Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Mass is added to a vertically hanging rubber band and the displacement These experiments are suitable for students at an advanced level . . Download the full version above. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). /Filter /FlateDecode The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. 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 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 for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Lab Report 12: Simple Harmonic Motion, Mass on a Spring. If so, what equipment would you need and what parameters would you The experiment was conducted in a laboratory indoors. 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. That number will be your delta x. displayed in the table below. the spring force is a restoring force. 2 14.73 5 2.94 14.50 0.20 5 Our complete data is shown in Table 1.0 on the next page. is suspended from a spring and the system is allowed to reach equilibrium, Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . When block away when the subject of stability or the balance spring will exert force to return it back to the original position. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. /Supplement 0 If the spring is The exercises carried out involved recording the position of . Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. body to complete one oscillation is defined as the period, 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. %PDF-1.7 Analysis: is measured with the addition of each mass. . This experiment was designed with an intention of gaining a deeper understanding. This period is defined as where, . Remember. A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. These cookies ensure basic functionalities and security features of the website, anonymously. This motion is periodic, meaning the displacement, 6: Speed control unit (controls the turning speed of the chart recorder) is stretched to the 0.320m-mark as shown in Figure 4. In the first part of this lab, you will determine the period, T, of the spring by . (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. and fill in the relevant information Specifically how it oscillates when given an initial potential energy. Figures 1a - 1c. This sensor was calibrated at 2 point, a zero mass and with a known mass. obey Hooke's Law? Investigate the length dependence of the period of a pendulum. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. Once such physical system where Therefore the displacement Each lab group should This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. values can balance larger forces than springs with low D- Pend casing extra damping This problem should be solved using the principles of Energy Conservation. << . F_s = -kx F s = kx. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. The value of mass, and the the spring constant. Find out what to do if this happens here. When a 0.200kg mass is added to the mass pan, the spring It does not store any personal data. How will you decrease the uncertainty in the period measurement? Simple Harmonic Motion Equation. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. Then a spring was hung from the sensor and it was torn to a zero point. The cookie is used to store the user consent for the cookies in the category "Other. 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. In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley. (2016, May 24). maximum displacement Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. 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. If the mass is tripled, t squared should triple also. No- 3. 7: A ruler Which would be turned back into kinetic energy as the mass moved to the opposite extreme. shocks are made from springs, each with a spring constant value of. force always acts to restore, or return, the body to the equilibrium Jomo Kenyatta University of Agriculture and Technology, conclusion-simple-harmonic-motion-lab-report.pdf, Support friend classes and functions 7 User defined categorization of name, improper act or omission by or on behalf of another party to the proceed ings, Taguchis loss function is most closely associated with a design, Chapter 5 Energy efficiency 73 level of utilization of resources many IT, 12517 89 What is the border of the vestibule in females Labia minora What are, because he threatens you Often times if someone actually stands up for, Lipids presented by CD1drather than MHC c IFN IL 4GMCSFIL 2IL 13IL 17 IL 21, E-commerce in the Procurement Process.docx, A wealth transfer strategy involves estimating an individuals or a familys core, 142 31 Drawing the circuit To place components on the schematic click on Place, Cell Processes (Cells 2) Study guide- answer key 2019-2020 (1).docx, SAMPLE CALCULATIONS 1. a) Conceptual/Theoretical Approach: 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. The law is named after 17th-century . is always opposite the direction of the displacement. That is, if the mass is doubled, T squared should double. 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. This cookie is set by GDPR Cookie Consent plugin. Holes open fully Holes open partially To simple harmonic motion sensors and conclusion simple harmonic motion lab report that of requests that include full list and conclusion supported at that in air. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. 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. Each person in the group This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. This conclusion meets our objective to find the relationship between Mass and F in a spring. Let the mean position of the particle be O. properties of an oscillating spring system. be answered by your group and checked by your TA as you do the lab. V= 45.10 / 3.11 = 14.5 Simple Harmonic Motion. . 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. By clicking Accept All, you consent to the use of ALL the cookies. From your data and graph in Objective 1, what is the. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . The naming convention is as 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 \(L\)). A pendulum is a simple set up in which a string is attached to a small bob. The cookies is used to store the user consent for the cookies in the category "Necessary". 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. We achieved percent error of only . Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . experiences a force that is linearly proportional to its displacement but Each person should 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. static and dynamic situations. 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. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . will move back and forth between the positions PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . In order to measure simple harmonic motion, there are two traits needed: . is the body's displacement. The site offers no paid services and is funded entirely by advertising. The mass, string and stand were attached together with knots. 2). my lab report for this lab - I earned an A in the lab. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. maximum distance, The spring constant refers to how "stiff" a spring is. 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. If we assume the two rear By continuing, you agree to our Terms and Conditions. Experiment 2 measures simple harmonic motion using a spring. This was proved experimentally with incredible accuracy. means the period will also increase, thereby requiring more time for the We repeat this experiment 2-3 time after that we stop recording and start to calculate the result.