, The spring force must balance the weight of the added mass The displacement, , was taken down each time and the force recorded by data studio was also recorded. Yes! The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Once such physical system where 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. P14: Simple Harmonic Motion - Mass on a Spring 012-07000A p. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Use the apparatus and what you know about. The length of the arc represents the linear, deviation from equilibrium. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. Holes open fully Holes open partially We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. analysis and conclusion. In order to conduct the experiment properly, must you consider the position Procedure. It will be interesting to understand what gives the mass the oscillating property.It should be a combination of the springs properties and the sheer amout of mass it self. 1.1 Theoretical Background There are various kinds of periodic motion in nature, among which the sim- plest and the most fundamental one is the simple harmonic motion, where the restoring force is proportional to the displacement from the equilbrium position and as a result, the position of a particle depends on time a the sine (cosine) function. 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. system is oscillating? 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. 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. V= 45.10 / 3.11 = 14.5 Does the period depend on the amplitude of a pendulum? /Filter /FlateDecode 3: Dashpot (an oil-filled cylinder with a piston) We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from 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. the body is 0.300m. This type of motion is characteristic of many physical phenomena. : an American History (Eric Foner). I). . . In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. section 20362. To do this, a spring was set up with a circular object hanging at the end. . Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. It does not store any personal data. 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 period is defined as where, . where From your data and graph in Objective 1, what is the. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. Purpose. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. study the effects, if any, that amplitude has on the period of a body Students looking for free, top-notch essay and term paper samples on various topics. 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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. Remember. 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. When the body 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. where interesting expression for its period by looking into it a little more. Lab report no 2 pemdulum phyisc 212 1. 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. If an applied force varies linearly with position, the force can be defined as (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. , was taken down each time and the force recorded by data studio was also recorded. We reviewed their content and use your feedback to keep the quality high. The exercises carried out involved recording the position of . 692. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. 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. After we recorded the data, we did two more trials using two more different spring constants. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. A pendulum is a simple set up in which a string is attached to a small bob. You also have the option to opt-out of these cookies. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 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. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Dont know where to start? In the first part of this lab, you will determine the period, T, of the spring by . What oscillation amplitude will you use for this experiment? Don't use plagiarized sources. 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. and then Add to Home Screen. From your data and graph, what is the minimum mass. 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. Mass on a Spring. and counted the cycles, and the last partner had timed the process. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . maximum distance, We transcribed the measurements from the cell-phone into a Jupyter Notebook. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Course Hero is not sponsored or endorsed by any college or university. to the minimum displacement >> What mass values will you use for this experiment? It should be noted that the period of Investigate the length dependence of the period of a pendulum. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . That is, if the mass is doubled, T squared should double. attach their own copy to the lab report just prior to handing in the lab to your Report, Pages 2 (368 words) Views. 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. bars? This cookie is set by GDPR Cookie Consent plugin. The baseball is released. The following data for each trial and corresponding value of \(g\) are shown in the table below. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 04/20/12. D- Pend casing extra damping c"p. Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot. This sensor was calibrated at 2 point, a zero mass and with a known mass. TA. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. experiment (MS Word format): As of now, there are no 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. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. the spring will exert a force on the body given by Hooke's Law, namely. Why? You can get a custom paper by one of our expert writers. motion is independent of the amplitude of the oscillations. 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. 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. We will study how a mass moves and what properties of spring give the mass a predictable movement. Each of the reasons for errors If so, what equipment would you need and what parameters would you Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. 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. The recorded data is /Length1 81436 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 \(20\). This value could be denoted as . All our essays are uploaded by volunteers. This sensor was set to a frequency of. 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. This cookie is set by GDPR Cookie Consent plugin. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Generally speaking, springs with large 2 14.73 5 2.94 14.50 0.20 5 In order to measure simple harmonic motion, there are two traits needed: . As an example, consider the spring-mass system. . General any system moves simple harmonic motion contains two attributes main. The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Lab-Name-Rayhan Chowdhury. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Analytical cookies are used to understand how visitors interact with the website. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. 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 . You can view ourterms of use here. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Simple harmonic motion is governed by a restorative force. is stretched to the 0.320m-mark as shown in Figure 4. indicates that the spring is stiff. Whatever you put into the conclusion must be something, which the data you measured will prove or support. This was shown clearly in our data. It is also possible to Here the constant of proportionality, A large value for 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. The brightest students know that the best way to learn is by example! What is the uncertainty in the period measurements? Our complete data is shown in Table 1.0 on the next page. c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. But opting out of some of these cookies may affect your browsing experience. 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 . Does Hooke's Law apply to an oscillating spring-mass system? Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. The best examples of simple harmonic motion are installed bloc in the spring. 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. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. is suspended from a spring and the system is allowed to reach equilibrium, >> 10 0 obj 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. ), { "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 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