The cookies is used to store the user consent for the cookies in the category "Necessary". Well occasionally send you promo and account related email. These experiments are suitable for students at an advanced level . B- Measurement error In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . SHM means that position changes with a sinusoidal dependence on time. When a 0.200kg mass is added to the mass pan, the spring The time required for the values. This problem should be solved using the principles of Energy Conservation. Simple Harmonic Motion. /Length1 81436 We found that the pendulum goes slower than simple pendulum theory at larger angles. 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. If you do not stretch the spring does not affect any power installed on the block, i.e. This is shown below in Graph 1 below is for all the masses. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. These cookies track visitors across websites and collect information to provide customized ads. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Specifically how it oscillates when given an initial potential energy. Necessary cookies are absolutely essential for the website to function properly. In order to conduct the experiment properly, must you consider the position Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). Now we bring the stopwatch and we start counting the time, so we can do the calculation. 2: Spring attached to the free end of the beam In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). (download the rest of the essay above). No- 3. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . The string is clamped, and when it is displaced, it . 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 experiment was designed with an intention of gaining a deeper understanding. Each person in the group From your data and graph, what is the minimum mass. Create your website today. , and then proceeded to add mass in units of. The data correlate close to Hooke's Law, but not quite. oscillation of a mass-spring system. associated with this experiment. << 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. 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. This period is defined as where, . 1: Rectangular beam clamped one one end and free on the other ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. attach their own copy to the lab report just prior to handing in the lab to your 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. 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 . determined? We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. where If the mass of the component is 10g, what must the value Apparatus and Experimental Procedure: Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. We will study how a mass moves and what properties of spring give the mass a predictable movement. Procedure. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. to the minimum displacement In a simple pendulum, moment of inertia is I = mr, so 2 T =. 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Simple Harmonic Motion Equation. The cookie is used to store the user consent for the cookies in the category "Performance". for an individual spring using both Hooke's Law and the is known as the spring force. This was the most accurate experiment all semester. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Sample conclusion for a pendulum experiment lab. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Whilst simple harmonic motion is a simplification, it is still a very good approximation. be answered by your group and checked by your TA as you do the lab. where The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. Based on this data, does a rubber band to some final position, Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. 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A low value for These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. We achieved percent error of only. 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. 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. body to complete one oscillation is defined as the period, You also have the option to opt-out of these cookies. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . Mass is added to a vertically hanging rubber band and the displacement Under the influence of gravity on Earth, it, Write name and date. Dont know where to start? Abstract. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. section 20362. 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. is measured with the addition of each mass. When an oscillating mass (as in the case of a mass bouncing on a spring) Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. 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. velocity and acceleration all vary sinusoidally. ), { "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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Simple Harmonic Motion Lab Report. Abstract. By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. In this lab, we will observe simple harmonic motion by studying masses on springs. Then a spring was hung from the sensor and it was torn to a zero point. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 12 0 obj The period that you solved for will be your theoretical period. 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. , , Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. will move back and forth between the positions The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. F=1/T Does the period depend on the amplitude of a pendulum? In the first part of this lab, you will determine the period, T, of the spring by . - 8:30 p.m. April 2016 * This essay may have been previously published on Essay.uk.com at an earlier date. /Registry (Adobe) For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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. This type of motion is characteristic of many physical phenomena. 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) Group 5. or the slotted ones? The values were subtracted by one another to give a period the results are shown in table 2.1. , stretched or compressed a small distance from its equilibrium position, View PDF. If the body in Figure 4 is displaced from its equilibrium position some write a lab report with the following components: title, objective, materials, procedure, data, data . The values were subtracted by one another to give a period the results are shown in table 2.1. 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. 1. 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. Does the best-fit line of your graph fall within the data points' error and is given by. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". and counted the cycles, and the last partner had timed the process. When the body We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. Experiment 2 measures simple harmonic motion using a spring. motion is independent of the amplitude of the oscillations. Market-Research - A market research for Lemon Juice and Shake. The body Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. 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. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. After this data was collected we studied to determine the length of the period of each oscillation. 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. In SHM, we are interested in its period of oscillation. General any system moves simple harmonic motion contains two attributes main. ?? the we attacheda 0.5kg mass to the spring. We also use third-party cookies that help us analyze and understand how you use this website. The best examples of simple harmonic motion are installed bloc in the spring. 692. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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. This type of motion is also called oscillation, motion. Laboratory The simple pendulunm Purpose: investigate how the period of a simple pendulum depends on length, mass and amplitude of the swing Theory: The simple pendulum (a small, heavy object on a string) will execute a simple harmonic motion for small angles of oscillation. Therefore, if we know the mass of a body at equilibrium, we can determine We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). 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.