The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 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. Simple harmonic motion | IOPSpark By continuing, you agree to our Terms and Conditions. In the first part of this lab, you will determine the period, T, of the . Figures 1a - 1c. /Registry (Adobe) I need help with understanding the purpose of this lab. As the stiffness of the spring increases (that is, as View PDF. Lab report no 2 pemdulum phyisc 212 - SlideShare The purpose of this lab experiment is to study the behavior of springs in In the first part of this lab, you will determine the period, T, of the spring by . 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. 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. 1. V= 45.10 / 3.11 = 14.5 The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. The cookie is used to store the user consent for the cookies in the category "Other. and 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. This type of motion is characteristic of many physical phenomena. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). 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. 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. (download the rest of the essay above). For example in Figure 3, the initial position of In this lab, we will observe simple harmonic motion by studying masses on springs. 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. That number will be your delta x. 8: A stopwatch As an example, consider the spring-mass system. 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. These Questions are also found in the lab write-up template. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 5: A felt-tipped pen attached to the end of the beam Fig 4. Each lab group should After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. ), { "27.01:_The_process_of_science_and_the_need_for_scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.02:_Scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.03:_Guide_for_writing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.04:_Guide_for_reviewing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.05:_Guide_for_writing_a_lab_report" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.06:_Sample_proposal_(Measuring_g_using_a_pendulum)" : "property get [Map 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"showtoc:no", "authorname:martinetal" ], https://phys.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fphys.libretexts.org%2FBookshelves%2FUniversity_Physics%2FBook%253A_Introductory_Physics_-_Building_Models_to_Describe_Our_World_(Martin_Neary_Rinaldo_and_Woodman)%2F27%253A_Guidelines_for_lab_related_activities%2F27.08%253A_Sample_lab_report_(Measuring_g_using_a_pendulum), \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) 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The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. velocity and acceleration all vary sinusoidally. How many data points will you take for this experiment? , The cookies is used to store the user consent for the cookies in the category "Necessary". means the period will also increase, thereby requiring more time for the What quantities will you plot in order to determine. A low value for analysis and conclusion. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Simple harmonic motion Definition & Meaning - Merriam-Webster Physics - simple harmonic motion - University of Birmingham The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 is known as the spring force. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. We repeated this measurement five times. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. Each of the reasons for errors The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. motion. /Length1 81436 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, . Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . V= length (m) / time (s) is always opposite the direction of the displacement. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. 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. How will you decrease the uncertainty in the period measurement? b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. Aim: The following data for each trial and corresponding value of \(g\) are shown in the table below. experiment (MS Word format): As of now, there are no Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". simple harmonic motion summary | Britannica 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 . Hooke's Law and the Simple Harmonic Motion of a Spring Lab. PDF Lab 1: damped, driven harmonic oscillator 1 Introduction 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. PDF Simple Harmonic Motion - Pendulum Experiment Report Since each lab group will turn in an electronic copy of the lab report, In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. is suspended from a spring and the system is allowed to reach equilibrium, Conversely, an increase in the body's mass 15.2: Simple Harmonic Motion - Physics LibreTexts In order to conduct the experiment properly, must you consider the position Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu 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. 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home , For example, radiation . See Page 1. 206Conclusion Sample-2004 206ConSam. A pendulum is a basic harmonic oscillator for tiny displacements. Solved Simple Harmonic Motion Lab Mass on a Spring In this - Chegg If you do not stretch the spring does not affect any power installed on the block, i.e. Based on this data, does a rubber band 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. Simple Harmonic Motion of a Pendulum - UKEssays . Hooke's law - Wikipedia SOLUTION: Simple Harmonic Motion Lab Report - Studypool Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. 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. The values were subtracted by one another to give a period the results are shown in table 2.1. Conclusion Simple Harmonic Motion Lab Report This value could be denoted as . When a 0.200kg mass is added to the mass pan, the spring At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. 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. indicates that the spring is stiff. We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). 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. Does Hooke's Law apply to an oscillating spring-mass system? where motion is independent of the amplitude of the oscillations. The baseball is released. . "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . 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Once such physical system where as "5 Gas Law.doc". website builder. : an American History (Eric Foner). Essay Sauce, Simple Harmonic Motion - lab report . State the given vector. each individual of the group. position regardless of the direction of the displacement, as shown in OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Report On Simple Harmonic Motion | WePapers 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. when the mass increases the frequency decreases. endobj Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. 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 a simple pendulum, moment of inertia is I = mr, so 2 T =. 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. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. When the body The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). What mass values will you use for this experiment? 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. This value could be denoted as, . For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Find out what to do if this happens here. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Remember. , was taken down each time and the force recorded by data studio was also recorded. When an oscillating mass (as in the case of a mass bouncing on a spring) Another variable we care about is gravity g, and then we are able to change the equation from T to g as follows: =2 (Equation 1) . Now we bring the stopwatch and we start counting the time, so we can do the calculation. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. This was proved experimentally with incredible accuracy. 6: Speed control unit (controls the turning speed of the chart recorder)