simple harmonic motion lab report conclusion

Aim: shocks are made from springs, each with a spring constant value of. Yes! Analysis: Lab. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. 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. increases), the period decreases which has the effect of increasing the Simple harmonic motion. In a simple pendulum, moment of inertia is I = mr, so 2 T =. Two types of springs (spring I and II) with . The . is measured with the addition of each mass. Damped Harmonic Motion Lab Report. is 0.020m. 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 restoring force is what causes the mass the oscillate. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Question: Hello,I am needing a little help improving my lab report. Conversely, an increase in the body's mass 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. 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. For the lab, we first attacheda spring to the ring stand. B- Measurement error Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . oscillating in a simple harmonic motion (SHM). This restoring force is what causes the mass the oscillate. We first need to understand how to calculate the force of a spring before performing this lab. determined? We also use third-party cookies that help us analyze and understand how you use this website. should be answered in your lab notebook. means the spring is soft. 692. 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. We transcribed the measurements from the cell-phone into a Jupyter Notebook. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . 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. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). 1. The spring force must balance the weight of the added mass V= 45.10 / 3.11 = 14.5 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. This was the most accurate experiment all semester. experiences a force that is linearly proportional to its displacement but This basically means that the further away an oscillating object is from its mid-point, the more acceleration . Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. That number will be your delta x. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. In this lab, we will observe simple harmonic motion by studying masses on springs. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS 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 . 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. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). This cookie is set by GDPR Cookie Consent plugin. for an individual spring using both Hooke's Law and the 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. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Then a spring was hung from the sensor and it was torn to a zero point. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. This involved studying the movement of the mass while examining the spring properties during the motion. The data correlate close to Hooke's Law, but not quite. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. Why Lab Procedures and Practice Must Be Communicated in a Lab. 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. 3 14.73 5 2.94 14.50 0.20 5 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. 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. Mass on a Spring. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Based on this data, does a rubber band In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. A low value for FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. velocity and acceleration all vary sinusoidally. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. force always acts to restore, or return, the body to the equilibrium experiment (MS Word format): As of now, there are no In this paper, we are going to study about simple harmonic motion and its applications. an academic expert within 3 minutes. 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. These Questions are also found in the lab write-up template. Investigate the length dependence of the period of a pendulum. 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 spring will exert a force on the body given by Hooke's Law, namely. ), { "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]()", 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The spring constant is an indication of the spring's stiffness. This cookie is set by GDPR Cookie Consent plugin. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. The equation for a pendulum that relates the variables involved is: 2 f =. %PDF-1.7 * This essay may have been previously published on Essay.uk.com at an earlier date. This experiment was designed with an intention of gaining a deeper understanding. (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. website builder. 2 14.73 5 2.94 14.50 0.20 5 Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. F=1/T The value of mass, and the the spring constant. CUPOL experiments The cookies is used to store the user consent for the cookies in the category "Necessary". Download Free PDF. How will you decrease the uncertainty in the period measurement? period of 0.50s. 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 \(L\)). >> By continuing, you agree to our Terms and Conditions. difference was observed in the experiment. determine the minimum mass. Whilst simple harmonic motion is a simplification, it is still a very good approximation. 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 . b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. Our complete data is shown in Table 1.0 on the next page. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Essay Sauce, Simple Harmonic Motion - lab report . The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. In the first part of this lab, you will determine the period, T, of the . First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. This value could be denoted as . (2016, May 24). body to move through one oscillation. The mass, string and stand were attached together with knots. In Objective 1, you may wish to specifically ask the students to In this lab, we will observe simple harmonic motion by studying masses on springs.