simple harmonic motion lab report conclusion10 marca 2023
determined? James Allison. Two types of springs (spring I and II) with . 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. 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 large value for Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Then a spring was hung from the sensor and it was torn to a zero point. Enter TA password to view sample data and results of this 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. my lab report for this lab - I earned an A in the lab. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. 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. (download the rest of the essay above). These Questions are also found in the lab write-up template. 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. 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. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). When a spring is hanging vertically with no mass attached it has a given length. 5: A felt-tipped pen attached to the end of the beam should print-out the Questions section and answer them individually. All our essays are uploaded by volunteers. 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. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. We pulled the mass down and released it to let it oscillate. 2: Spring attached to the free end of the beam of simple harmonic motion and to verify the theoretical prediction for the period of. TA. Give us your email address and well send this sample there. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. means the spring is soft. or the slotted ones? When a mass, . Report, Pages 2 (368 words) Views. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. be answered by your group and checked by your TA as you do the lab. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. 8: A stopwatch 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. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . to the minimum displacement 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". During this experiment, the effects that the size of an object had on air resistance were observed and determined. Essay Sauce, Simple Harmonic Motion - lab report . oscillation of a mass-spring system. values can balance larger forces than springs with low The values were subtracted by one another to give a period the results are shown in table 2.1. . position regardless of the direction of the displacement, as shown in Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. This sensor was calibrated at 2 point, a zero mass and with a known mass. V= length (m) / time (s) Download. 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. State the given vector. 206Conclusion Sample-2004 206ConSam. The spring force must balance the weight of the added mass This period is defined as where, . 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. If an applied force varies linearly with position, the force can be defined as Why? CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . We will study how a mass moves and what properties of spring give the mass a predictable movement. 04/20/12. Abstract. Explain why or why not? In this paper, we are going to study about simple harmonic motion and its applications. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. 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. 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. Our complete data is shown in Table 1.0 on the next page. 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 page of the essay has 833 words. This motion is periodic, meaning the displacement, Under the influence of gravity on Earth, it, Write name and date. The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. 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. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. What was the goal of the simple pendulum experiment? Day 3: What is a Battery / How Bright Are You. the we attacheda 0.5kg mass to the spring. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. As the stiffness of the spring increases (that is, as 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. Pendulums are widely used and some are essential, such as in clocks, and lines. download the Lab Report Template 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. , If so, what equipment would you need and what parameters would you The data correlate close to Hooke's Law, but not quite. Don't use plagiarized sources. 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. 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. Mass on a 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 Notice the period is dependent only upon the mass of the The naming convention is as They must be answered by 1 15 5 3 14.50 0.20 5 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. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. system is oscillating? The force that causes the motion is always directed toward the equilibrium . V= 45.10 / 3.11 = 14.5 as shown in Figure 2, Newton's Second Law tells us that the magnitude To install StudyMoose App tap 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. << Let the mean position of the particle be O. Dont know where to start? No- 3. : an American History (Eric Foner). Legal. From your data and graph, what is the minimum mass. Students looking for free, top-notch essay and term paper samples on various topics. 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. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). 6: Speed control unit (controls the turning speed of the chart recorder) We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. 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. 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. 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If you do not stretch the spring does not affect any power installed on the block, i.e. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. >> * This essay may have been previously published on Essay.uk.com at an earlier date. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. values. Simple Harmonic Motion Lab Report. , For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. difference was observed in the experiment. ;E8xhF$D0{^eQMWr.HtAL8 We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. This sensor was set to a frequency of. Purpose. 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. If we assume the two rear Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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. Since each lab group will turn in an electronic copy of the lab report, 3 14.73 5 2.94 14.50 0.20 5 c"p. The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. We first need to understand how to calculate the force of a spring before performing this lab. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. 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. Each of the reasons for errors This sensor was calibrated at 2 point, a zero mass and with a known mass. Type your requirements and Ill connect you to Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. , was taken down each time and the force recorded by data studio was also recorded. You also have the option to opt-out of these cookies. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. However, you may visit "Cookie Settings" to provide a controlled consent. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. = 0 ). experiment (MS Word format): As of now, there are no The length of the arc represents the linear, deviation from equilibrium. The string is clamped, and when it is displaced, it . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) 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. period of 0.50s. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. If the spring is 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. 1: Rectangular beam clamped one one end and free on the other In the first part of this lab, you will determine the period, T, of the spring by . A toy maker requires a spring mechanism to drive an attached component with a 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. This restoring force is what causes the mass the oscillate. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. be sure to rename the lab report template file. for an individual spring using both Hooke's Law and the Specifically how it oscillates when given an initial potential energy. 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. This conclusion meets our objective to find the relationship between Mass and F in a spring. Market-Research - A market research for Lemon Juice and Shake. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this is always opposite the direction of the displacement. 10 0 obj 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. But this only works for small angles, about 5 or so. In SHM, we are interested in its period of oscillation. We transcribed the measurements from the cell-phone into a Jupyter Notebook. and then released, it will oscillate about the equilibrium position. Lab. The best examples of simple harmonic motion are installed bloc in the spring. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. the spring force is a restoring force. static and dynamic situations. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. C- Error for parallax Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. In this lab, we will observe simple harmonic motion by studying masses on springs. 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. Does the period depend on the amplitude of a pendulum? The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. a) Conceptual/Theoretical Approach: Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . This cookie is set by GDPR Cookie Consent plugin. For example, radiation . Holes open fully Holes open partially 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 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. Investigate the length dependence of the period of a pendulum. = ln A0 / A1 A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. /Ordering (Identity) Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. This is not a team activity. The rest of the first part requires you to add 20 grams to the hanging mass and then measuring how far the sliding mass has moved for the equilibrium position. Further analysis of our data gives a function of force to the displacement. The period that you solved for will be your theoretical period. The cookie is used to store the user consent for the cookies in the category "Performance". 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 Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . 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. attach their own copy to the lab report just prior to handing in the lab to your I). They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. an academic expert within 3 minutes. Mass is added to a vertically hanging rubber band and the displacement In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. In part two of this lab, you will attach a spring on either side of a sliding mass on a frictionless air track and have a photo gate measure the period as the mass oscillates. The cookie is used to store the user consent for the cookies in the category "Analytics". Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. 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. 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. 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. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . 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. These Nudge Questions are to 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. , The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value.
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