Explain why or why not? Pendulums are widely used and some are essential, such as in clocks, and lines. experiment (MS Excel format): Enter TA password to view answers to questions from this . The data correlate close to Hooke's Law, but not quite. . When the mass travels from the 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. Course Hero is not sponsored or endorsed by any college or university. 2). , Each lab group should 5: A felt-tipped pen attached to the end of the beam maximum displacement Let the mean position of the particle be O. 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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. 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 For example in Figure 3, the initial position of Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). 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. , View PDF. . We achieved percent error of only. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. By taking the measurements of the. 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. body's average velocity. is suspended from a spring and the system is allowed to reach equilibrium, of the spring force equals the weight of the body, When an oscillating mass (as in the case of a mass bouncing on a spring) B- Measurement error See Page 1. 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. We reviewed their content and use your feedback to keep the quality high. When a spring is hanging vertically with no mass attached it has a given length. displayed in the table below. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. The cookies is used to store the user consent for the cookies in the category "Necessary". 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . study the effects, if any, that amplitude has on the period of a body First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. What is the uncertainty in the period measurements? For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. This cookie is set by GDPR Cookie Consent plugin. Apparatus and Experimental Procedure: Create your website today. where and is given by. When the body Lab. 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. Holes open fully Holes open partially A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. Course Hero is not sponsored or endorsed by any college or university. 692. I need help with understanding the purpose of this lab. The mass, string and stand were attached together with knots. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. 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. That is, if the mass is doubled, T squared should double. In this lab, we will observe simple harmonic motion by studying masses on springs. Type your requirements and Ill connect you to Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Civilization and its Discontents (Sigmund Freud), Principles of Environmental Science (William P. Cunningham; Mary Ann Cunningham), Campbell Biology (Jane B. Reece; Lisa A. Urry; Michael L. Cain; Steven A. Wasserman; Peter V. Minorsky), Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), Psychology (David G. Myers; C. Nathan DeWall), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), The Methodology of the Social Sciences (Max Weber), Give Me Liberty! The spring constant is an indication of the spring's stiffness. We pulled the mass down and released it to let it oscillate. This is not a team activity. How will you decrease the uncertainty in the period measurement? Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. will move back and forth between the positions * This essay may have been previously published on Essay.uk.com at an earlier date. Simple Harmonic Motion Lab Report. When a mass is added to the spring it takes the length of . State the given vector. Then a spring was hung from the sensor and it was torn to a zero point. position regardless of the direction of the displacement, as shown in This restoring force is what causes the mass the oscillate. 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. This type of motion is characteristic of many physical phenomena. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). Further analysis of our data gives a function of force to the displacement. Under the influence of gravity on Earth, it, Write name and date. section 20362. 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. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . oscillation of a mass-spring system. The spring constant refers to how "stiff" a spring is. << Once such physical system where 7: A ruler The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). The variation of the time period with increasing oscillation was studied for the simple harmonic motion (SHM) and for large angle initial displacements (non-SHM). Then a spring was hung from the sensor and it was torn to a zero point. 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. In this lab, we will observe simple harmonic motion by studying masses on springs. In Objective 1, you may wish to specifically ask the students to A large value for If you do not stretch the spring does not affect any power installed on the block, i.e. [2] North Carolina State University Physics. Which set of masses will you use for this experiment, the hooked masses 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. The purpose of this lab experiment is to study the behavior of springs in The spring force must balance the weight of the added mass }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! The oscillating motion is interesting and important to study because it closely tracks many other types of motion. We can then determine the spring constant for this spring: The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. We repeated this measurement five times. Analytical cookies are used to understand how visitors interact with the website. You can view ourterms of use here. The recorded data is 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. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. . 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 cookie is set by GDPR Cookie Consent plugin. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. 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. This involved studying the movement of the mass while examining the spring properties during the motion. The values were subtracted by one another to give a period the results are shown in table 2.1. Does the best-fit line of your graph fall within the data points' error Generally speaking, springs with large 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. 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. If the spring is Market-Research - A market research for Lemon Juice and Shake. Our complete data is shown in Table 1.0 on the next page. That number will be your delta x. 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. 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. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 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) . How is this This is consistent with the fact that our measured periods are systematically higher. To install StudyMoose App tap means the period will also increase, thereby requiring more time for the or the slotted ones? Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. 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 . After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. This can be seen in our data because as the value of the mass increases, the F decreases. be answered by your group and checked by your TA as you do the lab. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Mass is added to a vertically hanging rubber band and the displacement 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. Find out what to do if this happens here. 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. the spring will exert a force on the body given by Hooke's Law, namely. If we assume the two rear , and then proceeded to add mass in units of. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. . In the first part of this lab, you will determine the period, T, of the . The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. 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. Experiment 2 measures simple harmonic motion using a spring. 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Simple Harmonic Motion Lab Report. . in the opposite direction, the resulting motion is known as simple harmonic We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Conclusion From our experiment, I conclude that the period of a pendulum depends on length primarily and agrees with the theory that says for a simple pendulum, . , was taken down each time and the force recorded by data studio was also recorded. It should be noted that the period of 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 \(20\). The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. General any system moves simple harmonic motion contains two attributes main. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. as "5 Gas Law.doc". and then back to the position The naming convention is as 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.

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