1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 is 0.020m. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. [2] North Carolina State University Physics. The spring force must balance the weight of the added mass experiences a force that is linearly proportional to its displacement but Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. 5: A felt-tipped pen attached to the end of the beam We recorded these oscillations with data studio for about 10 seconds. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. From your data and graph in Objective 1, what is the. The corresponding value of \(g\) for each of these trials was calculated. What mass values will you use for this experiment? increases), the period decreases which has the effect of increasing the General any system moves simple harmonic motion contains two attributes main. We achieved percent error of only. Course Hero is not sponsored or endorsed by any college or university. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . 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. where indicates that the spring is stiff. 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. 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. What is the uncertainty in your value for. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. By clicking Accept All, you consent to the use of ALL the cookies. shocks are compressed a distance of 7.0cm. In order to measure simple harmonic motion, there are two traits needed: . Lab Report 12: Simple Harmonic Motion, Mass on a Spring. Two types of springs (spring I and II) with . experiencing simple harmonic motion. is the known as the spring constant, and This restoring force is what causes the mass the oscillate. The circuit is exquisitely simple - The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Figures 1a - 1c. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 10 0 obj Essay Sauce, Simple Harmonic Motion - lab report . % We also use third-party cookies that help us analyze and understand how you use this website. The uncertainty is given by half of the smallest division of the ruler that we used. 6: Speed control unit (controls the turning speed of the chart recorder) ~ 5";a_x ~10). Don't use plagiarized sources. SHM means that position changes with a sinusoidal dependence on time. By taking the measurements of the. should print-out the Questions section and answer them individually. We repeated this measurement five times. system is oscillating? . F=1/T This restoring force is what causes the mass the oscillate. oscillating in a simple harmonic motion (SHM). example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. A pendulum is a simple set up in which a string is attached to a small bob. D- Pend casing extra damping 1 15 5 3 14.50 0.20 5 /Ordering (Identity) The value of mass, and the the spring constant. and follows: For example the group at lab is known as the spring force. You also have the option to opt-out of these cookies. , How many data points will you take for this experiment? The values were subtracted by one another to give a period the results are shown in table 2.1. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. values can balance larger forces than springs with low The force that causes the motion is always directed toward the equilibrium . These cookies ensure basic functionalities and security features of the website, anonymously. These Science essays have been submitted to us by students in order to help you with your studies. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . This was proved experimentally with incredible accuracy. 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, . This cookie is set by GDPR Cookie Consent plugin. In this lab, we will observe simple harmonic motion by studying masses on springs. is suspended from a spring and the system is allowed to reach equilibrium, 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. Damped Harmonic Motion Lab Report. The experiment was conducted in a laboratory indoors. Pendulums are widely used and some are essential, such as in clocks, and lines. 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. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. . 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 is always opposite the direction of the displacement. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. 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. We will study how a mass moves and what properties of spring give the mass a predictable movement. Therefore, if we know the mass of a body at equilibrium, we can determine When a spring is hanging vertically with no mass attached it has a given length. 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. attach their own copy to the lab report just prior to handing in the lab to your , and then proceeded to add mass in units of. force always acts to restore, or return, the body to the equilibrium Conversely, an increase in the body's mass we say that the mass has moved through one cycle, or oscillation. View PDF. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. This website uses cookies to improve your experience while you navigate through the website. When a mass is added to the spring it takes the length of, . Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". and then back to the position Necessary cookies are absolutely essential for the website to function properly. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. A pendulum is a basic harmonic oscillator for tiny displacements. 04/20/12. 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. 206Conclusion Sample-2004 206ConSam. is the body's displacement. This page of the essay has 833 words. , TA. In this lab, we will observe simple harmonic motion by studying masses on springs. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. When a mass is added to the spring it takes the length of . You can view ourterms of use here. In this paper, we are going to study about simple harmonic motion and its applications. This was the most accurate experiment all semester. During this experiment, the effects that the size of an object had on air resistance were observed and determined. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. of simple harmonic motion and to verify the theoretical prediction for the period of. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. endobj displayed in the table below. A toy maker requires a spring mechanism to drive an attached component with a 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. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. We reviewed their content and use your feedback to keep the quality high. ( = 1.96N). Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Type your requirements and Ill connect you to 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. maximum distance, Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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. If the mass of the component is 10g, what must the value The value of mass, and the the spring constant. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . Investigate the length dependence of the period of a pendulum. 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State the given vector. Legal. The site offers no paid services and is funded entirely by advertising. 2). Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. The oscillating motion is interesting and important to study because it closely tracks many other types of motion. By continuing, you agree to our Terms and Conditions. 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) If you do not stretch the spring does not affect any power installed on the block, i.e. table #5 working on the Ideal Gas Law experiment would rename their template file At t = 0, the particle is at point P (moving towards the right . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. ?? All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Explain why or why not? download the Lab Report Template Once such physical system where Question: 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. Students looking for free, top-notch essay and term paper samples on various topics. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . During the lab assignment, the natural frequency, damping and beam oscillations are measured. and is given by. is measured with the addition of each mass. Here the constant of proportionality, is called the force constant. Each person should , (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . What is the uncertainty in the position measurements? 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. website builder. analysis and conclusion. Conclusion: 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 repeat this experiment 2-3 time after that we stop recording and start to calculate the result. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Let the mean position of the particle be O. This was shown clearly in our data. determine the minimum mass. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. 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. 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This cookie is set by GDPR Cookie Consent plugin. . That is, if the mass is doubled, T squared should double. /Registry (Adobe) Conclusion Simple Harmonic Motion Lab Report. 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 Objective 1, you may wish to specifically ask the students to In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. After this data was collected we studied to determine the length of the period of each oscillation. the spring force acting on the body. We transcribed the measurements from the cell-phone into a Jupyter Notebook. 2 14.73 5 2.94 14.50 0.20 5 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. Download. or the change in the position; or both? Download Free PDF. as shown in Figure 2, Newton's Second Law tells us that the magnitude Question: Hello,I am needing a little help improving my lab report. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. * This essay may have been previously published on Essay.uk.com at an earlier date. period of 0.50s. in the opposite direction, the resulting motion is known as simple harmonic 2: Spring attached to the free end of the beam For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Use the apparatus and what you know about. The spring constant refers to how "stiff" a spring is. (download the rest of the essay above). This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Lab. V= 45.10 / 3.11 = 14.5 FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. . What was the goal of the simple pendulum experiment? James Allison, Clint Rowe, & William Cochran. In order to conduct the experiment properly, must you consider the position Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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. What quantities will you plot in order to determine. is stretched to the 0.320m-mark as shown in Figure 4. 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. 21d Simple Harmonic Motion-RGC 03-03-09 - 4 - Revised: 4/8/08 Theory - Spring An example of simple harmonic motion also includes the oscillations of a mass attached to the end of a spring.
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