simple harmonic motion lab report conclusion

should print-out the Questions section and answer them individually. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. This problem should be solved using the principles of Energy Conservation. table #5 working on the Ideal Gas Law experiment would rename their template file 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. Does the value of the oscillation amplitude affect your results? This cookie is set by GDPR Cookie Consent plugin. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? the body is 0.300m. For example in Figure 3, the initial position of For example, radiation . 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. 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. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. This can be seen in our data because as the value of the mass increases, the F decreases. The string is clamped, and when it is displaced, it . What was the goal of the simple pendulum experiment? Abstract. In Simple harmonic motion, the mean position is a stable equilibrium. Purpose. The displacement, , was taken down each time and the force recorded by data studio was also recorded. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The recorded data is 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax James Allison, Clint Rowe, & William Cochran. SHM means that position changes with a sinusoidal dependence on time. 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. 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. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. (See. 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". 04/20/12. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). ;E8xhF$D0{^eQMWr.HtAL8 Find out what to do if this happens here. . If so, what equipment would you need and what parameters would you Simple Pendulum lab report - Experiment: Simple Harmonic Motion Simple The time required for the It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero This page of the essay has 833 words. 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). It does not store any personal data. Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot. 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. 2 14.73 5 2.94 14.50 0.20 5 Apparatus and Experimental Procedure: When a spring is hanging vertically with no mass attached it has a given length. Legal. ?? oscillating body and the spring constant, Let the mean position of the particle be O. 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. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. values can balance larger forces than springs with low properties of an oscillating spring system. Why? a) Conceptual/Theoretical Approach: Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. 692. Calculation and Result: Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Why Lab Procedures and Practice Must Be Communicated in a Lab. This was the most accurate experiment all semester. As an example, consider the spring-mass system. 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 conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. The value of mass, and the the spring constant. Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. Simple Harmonic Motion in a Spring-Mass System | Science Project Each lab group should 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. Download the full version above. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 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. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. simple harmonic motion summary | Britannica V= 45.10 / 3.11 = 14.5 For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). is suspended from a spring and the system is allowed to reach equilibrium, 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. obey Hooke's Law? shocks are compressed a distance of 7.0cm. 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. to the minimum displacement This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. the spring will exert a force on the body given by Hooke's Law, namely. Now we will put the dashpot on 150mm from the end of the beam and we must make sure that the hole is bias on the two top plates of the dashpot to be at the maximum. 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. Simple Harmonic Motoion - Lab Report Example - Studentshare The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . . and or the change in the position; or both? Yes! Spring Constant Lab Report Conclusion Pdf 1: Rectangular beam clamped one one end and free on the other Experiment 2 measures simple harmonic motion using a spring. endobj Also, you must find the uncertainty in the period, kinetic energy, and potential energy. stretched or compressed a small distance from its equilibrium position, PDF Lab 10 Simple Harmonic Motion - Syracuse University This restoring force is what causes the mass the oscillate. Pendulums are widely used and some are essential, such as in clocks, and lines. We pulled the mass down and released it to let it oscillate. SOLUTION: Simple Harmonic Motion Lab Report - Studypool Group 5. period of 0.50s. If the mass is tripled, t squared should triple also. We achieved percent error of only. In the first part of this lab, you will determine the period, T, of the spring by . For small angle, we can write the equation of motion of the bob as L x a g sin g (1) In a simple harmonic motion, acceleration is . The baseball is released. This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. Simple Harmonic Motion. velocity and acceleration all vary sinusoidally. 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. Hooke's law - Wikipedia 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. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 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. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. 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. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . 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. This type of motion is also called oscillation, motion. 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PDF Simple Harmonic Motion - Pendulum Experiment Report . experiences a force that is linearly proportional to its displacement but Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. It is also possible to Solved Hello,I am needing a little help improving my lab - Chegg Attached will be the lab experiment we did and the results I recorded. Simple harmonic motion lab report conclusion. Simple Harmonic Motion force always acts to restore, or return, the body to the equilibrium , in the opposite direction, the resulting motion is known as simple harmonic Simple Harmonic Motion - A2 Physics - SlideShare When a 0.200kg mass is added to the mass pan, the spring Simple harmonic motion is governed by a restorative force. Each of the reasons for errors Don't use plagiarized sources. Procedure. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). be sure to rename the lab report template file. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. . Essay Sauce, Simple Harmonic Motion - lab report . 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. This involved studying the movement of the mass while examining the spring properties during the motion. Simple Harmonic Motion Lab Report - 545 Words | Studymode This was proved experimentally with incredible accuracy. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home 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 sensor was set to a frequency of . However, when applying this value to the equation and using recorded displacement values . Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. the spring force is a restoring force. 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 same thing should happen if the mass stays constant and the spring constant is doubled. Simple Harmonic Motion - GeeksforGeeks This is shown below in Graph 1 below is for all the masses. PDF Simple Harmonic Motion - United States Naval Academy is the body's displacement. 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) 27.8: Sample lab report (Measuring g using a pendulum) When the mass travels from the 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 . is measured with the addition of each mass. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. oscillating in a simple harmonic motion (SHM). 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. should be answered in your lab notebook. 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. This restoring force is what causes the mass the oscillate. ~ 5";a_x ~10). We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This cookie is set by GDPR Cookie Consent plugin. They must be answered by You can get a custom paper by one of our expert writers. of the spring constant. The spring force must balance the weight of the added mass Generally speaking, springs with large follows: For example the group at lab In the first part of this lab, you will determine the period, T, of the spring by . difference was observed in the experiment. 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. 7: A ruler We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. This motion is periodic, meaning the displacement, Conclusion Simple Harmonic Motion Lab Report 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. In this lab, we will observe simple harmonic motion by studying masses on springs. The spring constant is an indication of the spring's stiffness. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. 1. Hooke's Law and the Simple Harmonic Motion of a Spring Lab 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 sensor was calibrated at 2 point, a zero mass and with a known mass. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). 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. /Registry (Adobe) is the known as the spring constant, and The formula for this motion's governing law, known as Hooke's Law, is F = - kx, where F is the restoring force and the negative sign denotes the direction . 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 . In SHM, we are interested in its period of oscillation. interesting expression for its period by looking into it a little more. Introduction to simple harmonic motion review - Khan Academy Our complete data is shown in Table 1.0 on the next page. (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. A large value for 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. EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. 2: Spring attached to the free end of the beam We repeated this measurement five times. Simple Harmonic Motion of a Pendulum - UKEssays The exercises carried out involved recording the position of . as "5 Gas Law.doc". Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 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. 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. Mass on a Spring. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. values. A pendulum is a simple set up in which a string is attached to a small bob. This is not a team activity. 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. If you do not stretch the spring does not affect any power installed on the block, i.e. I). If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Then a spring was hung from the sensor and it was torn to a zero point. is 0.020m. 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. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. Remember. and then released, it will oscillate about the equilibrium position. 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. 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 . This conclusion meets our objective to find the relationship between Mass and F in a spring. Lab report no 2 pemdulum phyisc 212 1. is called the force constant. These Science essays have been submitted to us by students in order to help you with your studies. 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. will move back and forth between the positions Simple Harmonic Motion Lab Report Free Essay Example 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. 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. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. This was shown clearly in our data. We can then determine the spring constant for this spring: We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. bars? attach their own copy to the lab report just prior to handing in the lab to your PDF Guidelines for a Physics Lab Reports - Baylor University Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. determined? In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. Market-Research - A market research for Lemon Juice and Shake. How is this After this data was collected we studied to determine the length of the period of each oscillation. If the mass of the component is 10g, what must the value This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Since each lab group will turn in an electronic copy of the lab report, Each person in the group We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). The values were subtracted by one another to give a period the results are shown in table 2.1. 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. In order to measure simple harmonic motion, there are two traits needed: . Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Civilization and its Discontents (Sigmund Freud), Principles of Environmental Science (William P. Cunningham; Mary Ann Cunningham), Campbell Biology (Jane B. Reece; Lisa A. Urry; Michael L. Cain; Steven A. Wasserman; Peter V. Minorsky), Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), Psychology (David G. Myers; C. Nathan DeWall), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), The Methodology of the Social Sciences (Max Weber), Give Me Liberty! . Simple harmonic motion lab report conclusion. V Conclusion This We first need to understand how to calculate the force of a spring before performing this lab. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). /Length1 81436 These Questions are also found in the lab write-up template.

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