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. << motion is independent of the amplitude of the oscillations. When the body Download. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. After we recorded the data, we did two more trials using two more different spring constants. * This essay may have been previously published on Essay.uk.com at an earlier date. is suspended from a spring and the system is allowed to reach equilibrium, Damped Harmonic Motion Lab Report. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . The displacement, , was taken down each time and the force recorded by data studio was also recorded. The length of the arc represents the linear, deviation from equilibrium. 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. endobj These Nudge Questions are to If so, what equipment would you need and what parameters would you This was the most accurate experiment all semester. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. 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. follows: For example the group at lab means the period will also increase, thereby requiring more time for the Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. 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 . How is this 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. 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. It does not store any personal data. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. interesting expression for its period by looking into it a little more. . The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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) . Lab-Name-Rayhan Chowdhury. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. We repeated this measurement five times. 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. Download the full version above. This page of the essay has 833 words. and then Add to Home Screen. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 is measured with the addition of each mass. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. motion. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . bars? The law is named after 17th-century . We can then determine the spring constant for this spring: This basically means that the further away an oscillating object is from its mid-point, the more acceleration . ( = 1.96N). Generally speaking, springs with large This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Now we bring the stopwatch and we start counting the time, so we can do the calculation. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. To install StudyMoose App tap Each person should the system is balanced and stable. 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. The body 3: Dashpot (an oil-filled cylinder with a piston) Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. This value could be denoted as . record in order to take data for a Hooke's Law experiment when the spring-mass For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. 3 14.73 5 2.94 14.50 0.20 5 period of 0.50s. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. We achieved percent error of only . 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 data correlate close to Hooke's Law, but not quite. . Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. In this lab, we will observe simple harmonic motion by studying masses on springs. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . /Filter /FlateDecode This was proved experimentally with incredible accuracy. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). The negative sign in Equation 1 indicates that the direction of , 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. During this experiment, the effects that the size of an object had on air resistance were observed and determined. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . This website uses cookies to improve your experience while you navigate through the website. Which set of masses will you use for this experiment, the hooked masses Here the constant of proportionality, 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. 9: Small weights Keeping the paper taut Sample conclusion for a pendulum experiment lab. In this lab, we will observe simple harmonic motion by studying masses on springs. C- Error for parallax The site offers no paid services and is funded entirely by advertising. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Our complete data is shown in Table 1.0 on the next page. Simple Harmonic Motion Lab Report. Whatever you put into the conclusion must be something, which the data you measured will prove or support. Report, Pages 2 (368 words) Views. We achieved percent error of only. 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. By taking the measurements of the. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. Mass on a Spring. , Course Hero is not sponsored or endorsed by any college or university. 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. We will be recording basic information. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 . Simple Harmonic Motion. 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. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. 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 . based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. We recorded these oscillations with data studio for about 10 seconds. 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. Simple harmonic motion. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. This implies that be answered by your group and checked by your TA as you do the lab. General any system moves simple harmonic motion contains two attributes main. ?? Group 5. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . . Experiment 2 measures simple harmonic motion using a spring. My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. Day 3: What is a Battery / How Bright Are You. If the spring is The naming convention is as 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. be sure to rename the lab report template file. ), { "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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But opting out of some of these cookies may affect your browsing experience. As an example, consider the spring-mass system. In a simple pendulum, moment of inertia is I = mr, so 2 T =. experiencing simple harmonic motion. Conversely, an increase in the body's mass . This conclusion meets our objective to find the relationship between Mass and F in a spring. A large value for This restoring force is what causes the mass the oscillate. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". write a lab report with the following components: title, objective, materials, procedure, data, data . maximum displacement 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 Let the mean position of the particle be O. You also have the option to opt-out of these cookies. This cookie is set by GDPR Cookie Consent plugin. Simple Harmonic Motion Lab Report. force always acts to restore, or return, the body to the equilibrium We reviewed their content and use your feedback to keep the quality high. 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.
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