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 conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. associated with this experiment. 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 . Hooke's Law and the Simple Harmonic Motion of a Spring Lab In other words, the spring In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. endobj is suspended from a spring and the system is allowed to reach equilibrium, PDF Simple Pendulum and Properties of Simple Harmonic Motion This was shown clearly in our data. Figures 1a - 1c. interesting expression for its period by looking into it a little more. 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. Does the period depend on the amplitude of a pendulum? What mass values will you use for this experiment? Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. determine the minimum mass. Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. [2] North Carolina State University Physics. Calculation and Result: 12 0 obj James Allison. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. Our complete data is shown in Table 1.0 on the next page. Simple Harmonic Motion in a Spring-Mass System | Science Project We recorded these oscillations with data studio for about 10 seconds. 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. 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. 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 . motion. Generally speaking, springs with large (See. in the opposite direction, the resulting motion is known as simple harmonic Analytical cookies are used to understand how visitors interact with the website. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . These cookies will be stored in your browser only with your consent. 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Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. I need help with understanding the purpose of this lab. 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. Accessibility StatementFor more information contact us [email protected] check out our status page at https://status.libretexts.org. Here the constant of proportionality, The values were subtracted by one another to give a period the results are shown in table 2.1. In order to conduct the experiment properly, must you consider the position Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero Simple Harmonic Motion. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. is known as the spring force. to some final position, % should be answered in your lab notebook. However, you may visit "Cookie Settings" to provide a controlled consent. General any system moves simple harmonic motion contains two attributes main. analysis and conclusion. static and dynamic situations. 5: A felt-tipped pen attached to the end of the beam 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. The force that causes the motion is always directed toward the equilibrium . This website uses cookies to improve your experience while you navigate through the website. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. download the Lab Report Template The law is named after 17th-century . ), { "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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What is the conclusion on the experiment of a simple pendulum Simple Harmonic Motoion - Lab Report Example - Studentshare Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. This cookie is set by GDPR Cookie Consent plugin. This is shown below in Graph 1 below is for all the masses. Under the influence of gravity on Earth, it, Write name and date. 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. By clicking Accept All, you consent to the use of ALL the cookies. Damped Harmonic Motion Lab Report. and is given by. when the mass increases the frequency decreases. properties of an oscillating spring system. . Apparatus and Experimental Procedure: 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. Experiment 2 measures simple harmonic motion using a spring. These Questions are also found in the lab write-up template. By continuing, you agree to our Terms and Conditions. the spring force is a restoring force. 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. The brightest students know that the best way to learn is by example! 2). The value of mass, and the the spring constant. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. How will you decrease the uncertainty in the period measurement? We will be recording basic information. James Allison, Clint Rowe, & William Cochran. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. This problem should be solved using the principles of Energy Conservation. 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. oscillation of a mass-spring system. c"p. A Case Study on Simple Harmonic Motion and Its Application The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). 9: Small weights Keeping the paper taut Course Hero is not sponsored or endorsed by any college or university. Conclusion Simple Harmonic Motion Lab Report It should be noted that the period of Does the best-fit line of your graph fall within the data points' error Aim: The period that you solved for will be your theoretical period. , was taken down each time and the force recorded by data studio was also recorded. The mass, string and stand were attached together with knots. The circuit is exquisitely simple - will move back and forth between the positions is the displacement of the body from its equilibrium position (at is always opposite the direction of the displacement. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Simple Harmonic Motion - GeeksforGeeks for an individual spring using both Hooke's Law and 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 period. Hooke's Law and Simple Harmonic Motion - WebAssign 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. Why Lab Procedures and Practice Must Be Communicated in a Lab. Students looking for free, top-notch essay and term paper samples on various topics. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Let the mean position of the particle be O. 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. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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. Mass on a Spring. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. the body is 0.300m. This sensor was set to a frequency of . example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. What was the goal of the simple pendulum experiment? Start Now. EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube 2 14.73 5 2.94 14.50 0.20 5 body to move through one oscillation. 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. Day 3: What is a Battery / How Bright Are You. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Download. >> Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. << 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. Market-Research - A market research for Lemon Juice and Shake. This sensor was set to a frequency of. shocks are compressed a distance of 7.0cm. Simple Harmonic Motion Lab Report - 545 Words | Studymode 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. Investigate the length dependence of the period of a pendulum. Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. A pendulum is a basic harmonic oscillator for tiny displacements. The cookies is used to store the user consent for the cookies in the category "Necessary". The . 692. position regardless of the direction of the displacement, as shown in This type of motion is characteristic of many physical phenomena. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. to the minimum displacement 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. Hooke's Law and Simple Harmonic Motion Adam Cap where x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? 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. This was the most accurate experiment all semester. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. as you perform the experiment. If the body in Figure 4 is displaced from its equilibrium position some CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. This period is defined as where, . It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. But opting out of some of these cookies may affect your browsing experience. Group 5. 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. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. To do this, a spring was set up with a circular object hanging at the end. Enter TA password to view sample data and results of this 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. 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. of the spring force equals the weight of the body, The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: We pulled the mass down and released it to let it oscillate. is called the force constant. force always acts to restore, or return, the body to the equilibrium PDF Lab 1: damped, driven harmonic oscillator 1 Introduction FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. 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. This motion is periodic, meaning the displacement, 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 . By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Conclusion Simple Harmonic Motion Lab Report. In this paper, we are going to study about simple harmonic motion and its applications. Whilst simple harmonic motion is a simplification, it is still a very good approximation. 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. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this When the body B- Measurement error . PDF Simple Harmonic Motion - Pendulum Experiment Report That is, if the mass is doubled, T squared should double. 3: Dashpot (an oil-filled cylinder with a piston) Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. This implies that 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. The purpose of this lab experiment is to study the behavior of springs in system is oscillating? is measured with the addition of each mass. 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. 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. 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. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . Procedure. We can then determine the spring constant for this spring: First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Simple harmonic motion lab report conclusion. V Conclusion This Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. Lab 3: Simple Harmonic motions Spring/Mass Systems Lab Also, you must find the uncertainty in the period, kinetic energy, and potential energy. Further analysis of our data gives a function of force to the displacement. . Simple Harmonic Motion (SHM): Definition, Formulas & Examples this force exists is with a common helical spring acting on a body. the we attacheda 0.5kg mass to the spring.