, as you perform the experiment. in the opposite direction, the resulting motion is known as simple harmonic is always opposite the direction of the displacement. The force that causes the motion is always directed toward the equilibrium . Enter TA password to view sample data and results of this In a simple pendulum, moment of inertia is I = mr, so 2 T =. 206Conclusion Sample-2004 206ConSam. Solved Simple Harmonic Motion Lab Mass on a Spring In this - Chegg Holes open fully Holes open partially 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 Objective 1, you may wish to specifically ask the students to A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. We pulled the mass down and released it to let it oscillate. Lab. V= 45.10 / 3.11 = 14.5 . For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Therefore the displacement Each of the reasons for errors Analysis: Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. velocity and acceleration all vary sinusoidally. c"p. 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. No- 3. static and dynamic situations. as "5 Gas Law.doc". Attached will be the lab experiment we did and the results I recorded. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of \(g\): \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. The cookies is used to store the user consent for the cookies in the category "Necessary". We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. If the spring is Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. 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. If an applied force varies linearly with position, the force can be defined as By clicking Check Writers Offers, you agree to our terms of service and privacy policy. F=1/T 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 Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu download the Lab Report Template AP Physics Lab 12: Harmonic Motion in a Spring - YouTube During this experiment, the effects that the size of an object had on air resistance were observed and determined. Simple Harmonic Motion. Simple harmonic motion. and then back to the position The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). How will you decrease the uncertainty in the period measurement? We recorded these oscillations with data studio for about 10 seconds. endobj We achieved percent error of only. 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. 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. 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. 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. The cookie is used to store the user consent for the cookies in the category "Other. /Registry (Adobe) Simple harmonic motion | IOPSpark attach their own copy to the lab report just prior to handing in the lab to your experiencing simple harmonic motion. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. this equation can be written as. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. A large value for 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. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Apparatus and Experimental Procedure: When a 0.200kg mass is added to the mass pan, the spring If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. What is the uncertainty in the mass measurements? Necessary cookies are absolutely essential for the website to function properly. . Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. section 20362. What are the sources of errors in a simple pendulum experiment - Quora 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. You can view ourterms of use here. The following data for each trial and corresponding value of \(g\) are shown in the table below. These Nudge Questions are to Legal. The string is clamped, and when it is displaced, it . Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. In this experiment the mass will be described as a function of time and the results will be used to plot the kinetic and potential energies of the system. of the spring force equals the weight of the body, 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. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. as shown in Figure 2, Newton's Second Law tells us that the magnitude interesting expression for its period by looking into it a little more. shocks are made from springs, each with a spring constant value of. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. If so, what equipment would you need and what parameters would you We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). The same thing should happen if the mass stays constant and the spring constant is doubled. 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. THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . Each lab group should Remember. Simple Harmonic Motoion - Lab Report Example - Studentshare Download. SIMPLE HARMONIC MOTION:MASS ON SPRING Lab Report - Studentshare 1: Rectangular beam clamped one one end and free on the other This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) 8: A stopwatch where What quantities will you plot in order to determine. Hooke's law - Wikipedia ;E8xhF$D0{^eQMWr.HtAL8 Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec Introduction ( = 1.96N). Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. follows: For example the group at lab However, despite displaying clear terms on our sites, sometimes users scan work that is not their own and this can result in content being uploaded that should not have been. the spring force is a restoring force. Find out what to do if this happens here. These cookies will be stored in your browser only with your consent. The purpose of this lab experiment is to study the behavior of springs in We do NOT offer any paid services - please don't ask! Course Hero is not sponsored or endorsed by any college or university. In Simple harmonic motion, the mean position is a stable equilibrium. By clicking Accept All, you consent to the use of ALL the cookies. 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. 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. 9: Small weights Keeping the paper taut After we recorded the data, we did two more trials using two more different spring constants. All our essays are uploaded by volunteers. is called the force constant. The equation for a pendulum that relates the variables involved is: 2 f =. Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. . 10 0 obj They This cookie is set by GDPR Cookie Consent plugin. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. maximum displacement The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). But opting out of some of these cookies may affect your browsing experience. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. When a box of unknown mass is placed into the trunk of a car, both rear , was taken down each time and the force recorded by data studio was also recorded. These cookies ensure basic functionalities and security features of the website, anonymously. Report, Pages 2 (368 words) Views. will move back and forth between the positions C- Error for parallax This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. TA. Once such physical system where >> Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. increases), the period decreases which has the effect of increasing the Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 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 \(20\). From your data and graph, what is the minimum mass. , is the body's displacement. Therefore, if we know the mass of a body at equilibrium, we can determine V Conclusion This experiment for the observation of simple harmonic This page of the essay has 833 words. This was proved experimentally with incredible accuracy. stream What is the uncertainty in the period measurements? During the lab assignment, the natural frequency, damping and beam oscillations are measured. ~ 5";a_x ~10). 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Since each lab group will turn in an electronic copy of the lab report, 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. F_s = -kx F s = kx. 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At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . 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 reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Subject-Physices-Professor V. Hooke's Law and Simple Harmonic Motion Lab Report Introduction: 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. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . - 8:30 p.m. April 2016 for 14-16. 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. . Simple harmonic motion lab report conclusion. Simple Harmonic Motion Now we bring the stopwatch and we start counting the time, so we can do the calculation. Aim: When a mass is added to the spring it takes the length of, . SOLUTION: Simple Harmonic Motion Lab Report - Studypool motion is independent of the amplitude of the oscillations. By taking the measurements of the. Hooke's Law and the Simple Harmonic Motion of a Spring Lab I). 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. motion. At t = 0, the particle is at point P (moving towards the right . Equation 1 applies to springs that are initially unstretched. 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. experiment (MS Word format): As of now, there are no Notice the period is dependent only upon the mass of the The displacement, , was taken down each time and the force recorded by data studio was also recorded. values. The naming convention is as We will study how a mass moves and what properties of spring give the mass a predictable movement. 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. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . Conclusion Simple Harmonic Motion Lab Report. >> , 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. The law is named after 17th-century . experiences a force that is linearly proportional to its displacement but The data correlate close to Hooke's Law, but not quite. or the change in the position; or both? an academic expert within 3 minutes. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. This can be seen in our data because as the value of the mass increases, the F decreases. . Determination of Springs Constant by Hooke's Law and Simple Harmonic of the spring constant. Explain why or why not? That number will be your delta x. After this data was collected we studied to determine the length of the period of each oscillation. 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. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). analysis and conclusion. Type your requirements and Ill connect you to 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. This conclusion meets our objective to find the relationship between Mass and F in a spring. force always acts to restore, or return, the body to the equilibrium What is the uncertainty in your value for. 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. 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. 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. In this lab, we will observe simple harmonic motion by studying masses on springs. . Damped Harmonic Motion Lab Report. SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero 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). indicates that the spring is stiff. = 0 ). Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Experiment 2 measures simple harmonic motion using a spring. If the mass is tripled, t squared should triple also. We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. 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Experiment 11- Simple Harmonic Motion - Studocu %PDF-1.7 should print-out the Questions section and answer them individually. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax Simple Harmonic Motion Equation. << We will be recording basic information. Then a spring was hung from the sensor and it was torn to a zero point. Abstract. It will be interesting to understand what gives the mass the oscillating property.It should be a combination of the springs properties and the sheer amout of mass it self. 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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. What is the uncertainty in the position measurements? PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS 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. This implies that 2 14.73 5 2.94 14.50 0.20 5 PDF Simple Harmonic Motion - United States Naval Academy 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 This cookie is set by GDPR Cookie Consent plugin. The value of mass, and the the spring constant. the body is 0.300m. Market-Research - A market research for Lemon Juice and Shake. A pendulum is a simple set up in which a string is attached to a small bob. . means the period will also increase, thereby requiring more time for the 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, . Lab report no 2 pemdulum phyisc 212 1. my lab report for this lab - I earned an A in the lab. 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 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. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). EssaySauce.com is a completely free resource for students. Here the constant of proportionality, 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. Use the apparatus and what you know about. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 This restoring force is what causes the mass the oscillate. or the slotted ones? Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc.