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PDF Simple Pendulum and Properties of Simple Harmonic Motion 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. This cookie is set by GDPR Cookie Consent plugin. properties of an oscillating spring system. Students looking for free, top-notch essay and term paper samples on various topics. The data correlate close to Hooke's Law, but not quite. Simple harmonic motion Definition & Meaning - Merriam-Webster The uncertainty is given by half of the smallest division of the ruler that we used. to the minimum displacement We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. This restoring force is what causes the mass the oscillate. values. is suspended from a spring and the system is allowed to reach equilibrium, Type your requirements and Ill connect you to in the opposite direction, the resulting motion is known as simple harmonic velocity and acceleration all vary sinusoidally. The naming convention is as 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. We transcribed the measurements from the cell-phone into a Jupyter Notebook. 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) . Apparatus and Experimental Procedure: We repeated this measurement five times. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). 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. The purpose of this lab experiment is to study the behavior of springs in This experiment was designed with an intention of gaining a deeper understanding. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. be sure to rename the lab report template file. Legal. %PDF-1.7 Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 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. A pendulum is a basic harmonic oscillator for tiny displacements. is 0.020m. 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. (download the rest of the essay above). section 20362. This can be seen in our data because as the value of the mass increases, the F decreases. By clicking Accept All, you consent to the use of ALL the cookies. Simple Harmonic Motion Equation. Find out what to do if this happens here. position regardless of the direction of the displacement, as shown in These cookies will be stored in your browser only with your consent. These experiments are suitable for students at an advanced level . 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. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). 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) where The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. 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 \(20\). 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. should print-out the Questions section and answer them individually. 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. Download Free PDF. 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 The cookies is used to store the user consent for the cookies in the category "Necessary". we say that the mass has moved through one cycle, or oscillation. . 8: A stopwatch Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. /Ordering (Identity) Therefore the displacement Analytical cookies are used to understand how visitors interact with the website. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. system is oscillating? Start Now. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. State the given vector. Simple Harmonic Motion Lab Report. We achieved percent error of only . . Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . 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. V= 45.10 / 3.11 = 14.5 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. 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. is called the force constant. When the body for an individual spring using both Hooke's Law and the endobj In this paper, we are going to study about simple harmonic motion and its applications. The time required for the 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. In this lab, we will observe simple harmonic motion by studying masses on springs. stream Yes! The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! The spring constant refers to how "stiff" a spring is. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. << For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. The period that you solved for will be your theoretical period. Simple harmonic motion | IOPSpark Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Attached will be the lab experiment we did and the results I recorded. is measured with the addition of each mass. 1 15 5 3 14.50 0.20 5 I need help with understanding the purpose of this lab. = ln A0 / A1 FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. It should be noted that the period of my lab report for this lab - I earned an A in the lab. = 0 ). 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. In order to measure simple harmonic motion, there are two traits needed: . Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. All our essays are uploaded by volunteers. What oscillation amplitude will you use for this experiment? In SHM, we are interested in its period of oscillation. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. 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 value of mass, and the the spring constant. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Determination of Springs Constant by Hooke's Law and Simple Harmonic What is the conclusion on the experiment of a simple pendulum Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. D- Pend casing extra damping They must be answered by - 8:30 p.m. April 2016 Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. study the effects, if any, that amplitude has on the period of a body This value could be denoted as, . A toy maker requires a spring mechanism to drive an attached component with a Physics - simple harmonic motion - University of Birmingham static and dynamic situations. 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. In this lab, we will observe simple harmonic motion by studying masses on springs. V= length (m) / time (s) This implies that interesting expression for its period by looking into it a little more. ( = 1.96N). Does the value of the oscillation amplitude affect your results? increases), the period decreases which has the effect of increasing the Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. This was proved experimentally with incredible accuracy. 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! But this only works for small angles, about 5 or so. Purpose. Our complete data is shown in Table 1.0 on the next page. From your data and graph, what is the minimum mass. the body is 0.300m. values can balance larger forces than springs with low The objective of this lab is to understand the behavior of objects in simple harmonic motion by determining the spring constant of a spring-mass system and a simple pendulum. download the Lab Report Template the spring force is a restoring force. The string is clamped, and when it is displaced, it . and then back to the position . to some final position, PDF Simple Harmonic Motion - Pendulum Experiment Report 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. 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. Introduction to simple harmonic motion review - Khan Academy This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. This type of motion is also called oscillation, motion. The circuit is exquisitely simple - where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . This value could be denoted as . In Simple harmonic motion, the mean position is a stable equilibrium. 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. Simple Harmonic Motoion - Lab Report Example - Studentshare experiment (MS Word format): Enter TA password to view the Lab Manual write up for this of the spring force equals the weight of the body, Hooke's Law and Simple Harmonic Motion Adam Cap determine the minimum mass. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. 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. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 692. The following data for each trial and corresponding value of \(g\) are shown in the table below. Simple Harmonic Motion (SHM): Definition, Formulas & Examples Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. is the displacement of the body from its equilibrium position (at experiencing simple harmonic motion. 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. a) Conceptual/Theoretical Approach: PDF Guidelines for a Physics Lab Reports - Baylor University . CUPOL experiments Mass on a Spring. website builder. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). They Tibor Astrab 4 Background Physics Simple Harmonic Motion - SHM A Simple Harmonic Motion is an oscillation in which the acceleration is directly proportional to the displacement from the mid-point, and is directed towards the mid-point. [2] North Carolina State University Physics. Investigate the length dependence of the period of a pendulum. This cookie is set by GDPR Cookie Consent plugin. That number will be your delta x. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero 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 . "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . James Allison, Clint Rowe, & William Cochran. Use the apparatus and what you know about. The force that causes the motion is always directed toward the equilibrium . Holes open fully Holes open partially A large value for 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, . This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.3. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. A- Timing the oscillation (start and stop) human reaction time error difference was observed in the experiment. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. displayed in the table below. 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 page of the essay has 833 words. Give us your email address and well send this sample there. maximum distance, We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. follows: For example the group at lab We do NOT offer any paid services - please don't ask! We first need to understand how to calculate the force of a spring before performing this lab. 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 . The cookie is used to store the user consent for the cookies in the category "Other. In other words, the spring experiences a force that is linearly proportional to its displacement but body to complete one oscillation is defined as the period, as shown in Figure 2, Newton's Second Law tells us that the magnitude This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. 12 0 obj However, you may visit "Cookie Settings" to provide a controlled consent. We will be recording basic information. A Case Study on Simple Harmonic Motion and Its Application In the first part of this lab, you will determine the period, T, of the spring by . Sample conclusion for a pendulum experiment lab - DePaul University Lab. What was the goal of the simple pendulum experiment? 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. 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. PDF Lab 1: damped, driven harmonic oscillator 1 Introduction Course Hero is not sponsored or endorsed by any college or university. First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features.