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If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Which set of masses will you use for this experiment, the hooked masses That is, if the mass is doubled, T squared should double. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. 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. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. What oscillation amplitude will you use for this experiment? Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. the body is 0.300m. and then released, it will oscillate about the equilibrium position. = ln A0 / A1 Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. the we attacheda 0.5kg mass to the spring. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). 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. or the slotted ones? , 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. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Aim: 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. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). is called the force constant. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. << We will determine the spring constant, /Length1 81436 2: Spring attached to the free end of the beam The cookie is used to store the user consent for the cookies in the category "Other. and then back to the position 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. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. 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. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 determined? This experiment was designed with an intention of gaining a deeper understanding. As the stiffness of the spring increases (that is, as In the first part of this lab, you will determine the period, T, of the spring by . For the lab, we first attacheda spring to the ring stand. of the spring constant. position regardless of the direction of the displacement, as shown in 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. Apparatus and Experimental Procedure: Specifically how it oscillates when given an initial potential energy. Remember. 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. simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. Simple harmonic motion. Market-Research - A market research for Lemon Juice and Shake. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. In other words, the spring (2016, May 24). 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. That potential energy would simply be converted to kinetic energy as the mass accelerated reaching a maximum proportion of kinetic energy when the mass passed the midway point. By taking the measurements of the. Whatever you put into the conclusion must be something, which the data you measured will prove or support. Since each lab group will turn in an electronic copy of the lab report, What quantities will you plot in order to determine. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). 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. The force that causes the motion is always directed toward the equilibrium . However, you may visit "Cookie Settings" to provide a controlled consent. Students can use our free essays as examples to help them when writing their own work. the system is balanced and stable. Mass on a Spring. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). But this only works for small angles, about 5 or so. . How is this In Objective 1, you may wish to specifically ask the students to 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. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. EES 150 Lesson 3 Continental Drift A Century-old Debate, BUS 225 Module One Assignment: Critical Thinking Kimberly-Clark Decision, 1-2 Short Answer Cultural Objects and Their Culture, Module One Short Answer - Information Literacy, Ejemplo de Dictamen Limpio o Sin Salvedades, Sample solutions Solution Notebook 1 CSE6040, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, 46 modelo de carta de renuncia voluntaria, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. This cookie is set by GDPR Cookie Consent plugin. . Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. and counted the cycles, and the last partner had timed the process. . Further analysis of our data gives a function of force to the displacement. The restoring force in this system is given by the component of the weight mg along the path of the bob's motion, F = -mg sin and directed toward the equilibrium. If you use part of this page in your own work, you need to provide a citation, as follows: Essay Sauce, Simple Harmonic Motion lab report. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.3. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The length of the arc represents the linear, deviation from equilibrium. . We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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 . What is the uncertainty in your value for. See Page 1. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. 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This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. the spring force acting on the body. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. This type of motion is also called oscillation, motion. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. Introduction Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. This page of the essay has 833 words. 04/20/12. This value could be denoted as, . c"p. 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. attach their own copy to the lab report just prior to handing in the lab to your Each of the reasons for errors . Then a spring was hung from the sensor and it was torn to a zero point. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. A large value for If the mass of the component is 10g, what must the value Mass is added to a vertically hanging rubber band and the displacement Then when the spring is charged with additional potential energy, by increasing the length to, the spring will exert whats called a restoring force which is defined as, is a spring constant. to the minimum displacement But opting out of some of these cookies may affect your browsing experience. 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. Procedure. The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. In this lab, we will observe simple harmonic motion by studying masses on springs. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of \(g\): \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. as you perform the experiment. A pendulum is a basic harmonic oscillator for tiny displacements. I). Conclusion Simple Harmonic Motion Lab Report. follows: For example the group at lab is known as the spring force. This cookie is set by GDPR Cookie Consent plugin. Find out what to do if this happens here. The uncertainty is given by half of the smallest division of the ruler that we used. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. stream 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. In this lab, we will observe simple harmonic motion by studying masses on springs. 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. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. 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. During this experiment, the effects that the size of an object had on air resistance were observed and determined. 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. obey Hooke's Law? What was the goal of the simple pendulum experiment? Generally speaking, springs with large static and dynamic situations. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. V= 45.10 / 3.11 = 14.5 /Registry (Adobe) 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. 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. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. You also have the option to opt-out of these cookies. We repeated this measurement five times. website builder. 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. stretched or compressed a small distance from its equilibrium position, to some final position, If an applied force varies linearly with position, the force can be defined as undergoes an arbitrary displacement from some initial position, Necessary cookies are absolutely essential for the website to function properly. The string is clamped, and when it is displaced, it . 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. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). The naming convention is as where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . Fig 4. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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 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. This value could be denoted as . Equation 1 applies to springs that are initially unstretched. The cookie is used to store the user consent for the cookies in the category "Performance". download the Lab Report Template 206Conclusion Sample-2004 206ConSam. oscillating in a simple harmonic motion (SHM). What is the uncertainty in the period measurements? The period that you solved for will be your theoretical period. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. This was the most accurate experiment all semester. If we assume the two rear table #5 working on the Ideal Gas Law experiment would rename their template file This period is defined as where, . experiment (MS Word format): Enter TA password to view the Lab Manual write up for this and fill in the relevant information If you do not stretch the spring does not affect any power installed on the block, i.e. (See. This was proved experimentally with incredible accuracy. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. , 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) . force always acts to restore, or return, the body to the equilibrium As an example, consider the spring-mass system. Dont know where to start? It should be noted that the period of 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. When the mass travels from the Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . This was shown clearly in our data. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Based on this data, does a rubber band A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. is the body's displacement. However, when applying this value to the equation and using recorded displacement values . Figures 1a - 1c. Enter TA password to view sample data and results of this How many data points will you take for this experiment? ;E8xhF$D0{^eQMWr.HtAL8 However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance 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. No- 3. 8: A stopwatch From your data and graph, what is the minimum mass. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. If the body in Figure 4 is displaced from its equilibrium position some . In Simple harmonic motion, the mean position is a stable equilibrium. body to complete one oscillation is defined as the period, 2). Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. , 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. , and then proceeded to add mass in units of. We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. Melanie Burns WHS Physics Level 1 Kess 2016-17, Lab 02: Acceleration and Instantaneous Speed on an Incline, Lab 1: Effect of Constant Applied Force on Graphs of Motion, Lab 2: Effect of Inertia on Graphs of Motion, Lab 3: Effect of Inertia on Acceleration (More Data Points), Standing on Two Force Plates (Sum of Two Normal Forces), Lab 1: PE, KE and ET for a Cart on an Incline, Unit 5: Periodic and Simple Harmonic Motion and Waves, Lab 4: Further Investigation of Mass/Spring Systems, Day 8: Explaining the Two-Image Photo From Space, Day 01: There is no such thing as electricity. where 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. maximum displacement 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. % 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 \(1\)%. 12 0 obj . 3: Dashpot (an oil-filled cylinder with a piston) Type your requirements and Ill connect you to velocity and acceleration all vary sinusoidally. Legal. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O).

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