simple harmonic motion lab report conclusion

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. Simple Harmonic Motion in a Spring-Mass System | Science Project 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. (2016, May 24). I). 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 By clicking Accept All, you consent to the use of ALL the cookies. 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. the spring force is a restoring force. Conclusion Simple Harmonic Motion Lab Report. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . 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. The negative sign in Equation 1 indicates that the direction of is measured with the addition of each mass. record in order to take data for a Hooke's Law experiment when the spring-mass This implies that and fill in the relevant information ?? 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. 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. Legal. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. << 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. 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. Damped Harmonic Motion Lab Report. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Investigate the length dependence of the period of a pendulum. force always acts to restore, or return, the body to the equilibrium The baseball is released. This problem should be solved using the principles of Energy Conservation. body's average velocity. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. download the Lab Report Template 1 15 5 3 14.50 0.20 5 PDF Simple Harmonic Motion and Damping - Gatech.edu The period that you solved for will be your theoretical period. The site offers no paid services and is funded entirely by advertising. Download the full version above. Simple Pendulum lab report - Experiment: Simple Harmonic Motion Simple 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. If an applied force varies linearly with position, the force can be defined as This cookie is set by GDPR Cookie Consent plugin. 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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. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. Experiment 11- Simple Harmonic Motion - Studocu (See. 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. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. The body the we attacheda 0.5kg mass to the spring. Question: Hello,I am needing a little help improving my lab report. . In SHM, we are interested in its period of oscillation. Essay Sauce, Simple Harmonic Motion - lab report . to the minimum displacement Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . A- Timing the oscillation (start and stop) human reaction time error Each person in the group analysis and conclusion. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. 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. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. stretched or compressed a small distance from its equilibrium position, Our complete data is shown in Table 1.0 on the next page. ( = 1.96N). Mass on a Spring. We recorded these oscillations with data studio for about 10 seconds. Which set of masses will you use for this experiment, the hooked masses Let the mean position of the particle be O. SHM means that position changes with a sinusoidal dependence on time. 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. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). this force exists is with a common helical spring acting on a body. One cycle of kinematics, including . These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. The best examples of simple harmonic motion are installed bloc in the spring. What oscillation amplitude will you use for this experiment? the spring force acting on the body. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . the body is 0.300m. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. What are the sources of errors in a simple pendulum experiment - Quora as shown in Figure 2, Newton's Second Law tells us that the magnitude We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). When a mass is added to the spring it takes the length of . Start Now. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Hooke's Law and Simple Harmonic Motion Adam Cap Introduction /Filter /FlateDecode Introduction to simple harmonic motion review - Khan Academy This was the most accurate experiment all semester. V= 45.10 / 3.11 = 14.5 The time required for the Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. 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. 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. 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. This cookie is set by GDPR Cookie Consent plugin. Lab-Name-Rayhan Chowdhury. 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 uncertainty is given by half of the smallest division of the ruler that we used. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) This was shown clearly in our data. Generally speaking, springs with large What is the uncertainty in the period measurements? 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. 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. . A Case Study on Simple Harmonic Motion and Its Application is the known as the spring constant, and Whilst simple harmonic motion is a simplification, it is still a very good approximation. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. Does the period depend on the amplitude of a pendulum? Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 The data correlate close to Hooke's Law, but not quite. V Conclusion This experiment for the observation of simple harmonic 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 Equation. interesting expression for its period by looking into it a little more. Conclusion Simple Harmonic Motion Lab Report Use the apparatus and what you know about. Simple Harmonic Motion Lab Report Free Essay Example Report On Simple Harmonic Motion | WePapers After this data was collected we studied to determine the length of the period of each oscillation. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). For the lab, we first attacheda spring to the ring stand. We also use third-party cookies that help us analyze and understand how you use this website. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Complete Syllabus of Physics | Grade XII - Dhan Raj's BLOG 5: A felt-tipped pen attached to the end of the beam /Length1 81436 If the mass of the component is 10g, what must the value What quantities will you plot in order to determine. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. where Procedure. 1: Rectangular beam clamped one one end and free on the other The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. 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. What is the uncertainty in the position measurements? 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. undergoes an arbitrary displacement from some initial position, simple harmonic motion summary | Britannica A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. These Science essays have been submitted to us by students in order to help you with your studies. The recorded data is Essay: Simple Harmonic Motion - lab report V= length (m) / time (s) The cookie is used to store the user consent for the cookies in the category "Performance". increases), the period decreases which has the effect of increasing the , This value could be denoted as, . 27.8: Sample lab report (Measuring g using a pendulum) Holes open fully Holes open partially 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. We achieved percent error of only . ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. Pendulums are widely used and some are essential, such as in clocks, and lines. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 Does the best-fit line of your graph fall within the data points' error Simple Harmonic Motion. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. Therefore, if we know the mass of a body at equilibrium, we can determine A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. A pendulum is a basic harmonic oscillator for tiny displacements. 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. obey Hooke's Law? velocity and acceleration all vary sinusoidally. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . experiment (MS Excel format): Enter TA password to view answers to questions from this 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. Calculation and Result: Does the value of the oscillation amplitude affect your results? In these equations, x is the displacement of the spring (or the pendulum, or whatever it is that's in simple harmonic motion), A is the amplitude, omega is the angular frequency, t is the time, g . The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. These cookies track visitors across websites and collect information to provide customized ads. when the mass increases the frequency decreases. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . attach their own copy to the lab report just prior to handing in the lab to your 12 0 obj and then Add to Home Screen. 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. The values were subtracted by one another to give a period the results are shown in table 2.1. Lab. Day 3: What is a Battery / How Bright Are You. 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. Solved Laboratory The simple pendulunm Purpose: investigate | Chegg.com shocks are made from springs, each with a spring constant value of. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Simple harmonic motion lab report conclusion. Simple Harmonic Motion % Therefore the displacement PDF Simple Harmonic Motion - austincc.edu James Allison. follows: For example the group at lab 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. These Nudge Questions are to B- Measurement error oscillation of a mass-spring system. 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. (download the rest of the essay above). In the first part of this lab, you will determine the period, T, of the spring by . difference was observed in the experiment. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax We will study how a mass moves and what properties of spring give the mass a predictable movement. You can view ourterms of use here. A low value for means the spring is soft. The corresponding value of \(g\) for each of these trials was calculated. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. Analytical cookies are used to understand how visitors interact with the website. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. At t = 0, the particle is at point P (moving towards the right . CUPOL experiments EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. This cookie is set by GDPR Cookie Consent plugin. Necessary cookies are absolutely essential for the website to function properly. A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. This restoring force is what causes the mass the oscillate. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. each individual of the group. In Objective 1, you may wish to specifically ask the students to You also have the option to opt-out of these cookies. 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. 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 . This value could be denoted as . We repeated this measurement five times. 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. A large value for The following data for each trial and corresponding value of \(g\) are shown in the table below. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. 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 . When a 0.200kg mass is added to the mass pan, the spring How many data points will you take for this experiment? All our essays are uploaded by volunteers. This page of the essay has 833 words. Course Hero is not sponsored or endorsed by any college or university. Simple Harmonic Motion Lab Report - 545 Words | Studymode Course Hero is not sponsored or endorsed by any college or university. 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. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . >> When a mass is added to the spring it takes the length of, . The brightest students know that the best way to learn is by example! If the spring is 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. displayed in the table below. PDF Guidelines for a Physics Lab Reports - Baylor University What is the uncertainty in the mass measurements? 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. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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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.