When a box of unknown mass is placed into the trunk of a car, both rear Lab 3: Simple Harmonic motions Spring/Mass Systems Lab interesting expression for its period by looking into it a little more. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Aim: (download the rest of the essay above). This sensor was set to a frequency of . 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. 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax These Science essays have been submitted to us by students in order to help you with your studies. This is not a team activity. The mass, string and stand were attached together with knots. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 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. we say that the mass has moved through one cycle, or oscillation. These Questions are also found in the lab write-up template. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec Hooke's Law and the Simple Harmonic Motion of a Spring Lab. Don't use plagiarized sources. We will determine the spring constant, 3: Dashpot (an oil-filled cylinder with a piston) 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. 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. . We repeated this measurement five times. When the body 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. for 14-16. 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. Conversely, an increase in the body's mass This is shown below in Graph 1 below is for all the masses. This was the most accurate experiment all semester. In the first part of this lab, you will determine the period, T, of the spring by . This type of motion is also called oscillation, motion. Conclusion Simple Harmonic Motion Lab Report. 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. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. << For example in Figure 3, the initial position of We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. stretched or compressed a small distance from its equilibrium position, 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. 9: Small weights Keeping the paper taut where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. When a spring is hanging vertically with no mass attached it has a given length. Find out what to do if this happens here. 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. c"p. to the minimum displacement determined? >> and is given by. is measured with the addition of each mass. * This essay may have been previously published on Essay.uk.com at an earlier date. oscillating body and the spring constant, F_s = -kx F s = kx. attach their own copy to the lab report just prior to handing in the lab to your Explain why or why not? In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. values can balance larger forces than springs with low We pulled the mass down and released it to let it oscillate. Course Hero is not sponsored or endorsed by any college or university. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. We can then determine the spring constant for this spring: The time required for the 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. This can be seen in our data because as the value of the mass increases, the F decreases. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. 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. Notice the period is dependent only upon the mass of the PDF Simple Harmonic Motion - austincc.edu If we assume the two rear The law is named after 17th-century . or the change in the position; or both? an academic expert within 3 minutes. 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. I need help with understanding the purpose of this lab. 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. /Length1 81436 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. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Necessary cookies are absolutely essential for the website to function properly. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Conclusion: We achieved percent error of only . Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". In Simple harmonic motion, the mean position is a stable equilibrium. 3 14.73 5 2.94 14.50 0.20 5 This website uses cookies to improve your experience while you navigate through the website. , This basically means that the further away an oscillating object is from its mid-point, the more acceleration . This sensor was calibrated at 2 point, a zero mass and with a known mass. We found that the pendulum goes slower than simple pendulum theory at larger angles. is the known as the spring constant, and this force exists is with a common helical spring acting on a body. in the opposite direction, the resulting motion is known as simple harmonic Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. A low value for This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. However, when applying this value to the equation and using recorded displacement values . 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. , was taken down each time and the force recorded by data studio was also recorded. Each person should The cookie is used to store the user consent for the cookies in the category "Performance". Why Lab Procedures and Practice Must Be Communicated in a Lab. ;E8xhF$D0{^eQMWr.HtAL8 endobj Purpose. Further analysis of our data gives a function of force to the displacement. 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. as you perform the experiment. This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. 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. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube Simple Harmonic Motion in a Spring-Mass System | Science Project No- 3. , Laboratory Report Exercise 3 Simple Harmonic Motion: Oscillations in Once such physical system where 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. where What quantities will you plot in order to determine. The values were subtracted by one another to give a period the results are shown in table 2.1. - 8:30 p.m. April 2016 motion is independent of the amplitude of the oscillations. Group 5. Then a spring was hung from the sensor and it was torn to a zero point. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. In the first part of this lab, you will determine the period, T, of the . and then back to the position of the spring force equals the weight of the body, . /Supplement 0 Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum and then released, it will oscillate about the equilibrium position. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. The body motion. Available from: [Accessed 04-03-23]. 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. The uncertainty is given by half of the smallest division of the ruler that we used. 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. 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. period of 0.50s. Simple harmonic motion lab report conclusion. V Conclusion This 2 14.73 5 2.94 14.50 0.20 5 04/20/12. Simple Harmonic Motion (SHM): Definition, Formulas & Examples For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. The cookies is used to store the user consent for the cookies in the category "Necessary". At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . In Objective 1, you may wish to specifically ask the students to 6: Speed control unit (controls the turning speed of the chart recorder) The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. This cookie is set by GDPR Cookie Consent plugin. This sensor was calibrated at 2 point, a zero mass and with a known mass. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. 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. How will you decrease the uncertainty in the period measurement? 1 15 5 3 14.50 0.20 5 ?? What mass values will you use for this experiment? Whilst simple harmonic motion is a simplification, it is still a very good approximation. Equation 1 applies to springs that are initially unstretched. This involved studying the movement of the mass while examining the spring properties during the motion. 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. In this lab, we will observe simple harmonic motion by studying masses on springs. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. One cycle of kinematics, including . Experiment 11- Simple Harmonic Motion - Studocu This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Damped Harmonic Motion Lab Report. difference was observed in the experiment. 5.5 Simple Harmonic Motion - Physics | OpenStax (1) Linear Simple Harmonic Motion: When a particle moves back and forth along a straight line around a fixed point (called the equilibrium position), this is referred to as Linear Simple Harmonic Motion. be answered by your group and checked by your TA as you do the lab. 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) This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Day 3: What is a Battery / How Bright Are You. Each lab group should of simple harmonic motion and to verify the theoretical prediction for the period of. The value of mass, and the the spring constant. A toy maker requires a spring mechanism to drive an attached component with a OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. 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. velocity and acceleration all vary sinusoidally. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. experiences a force that is linearly proportional to its displacement but Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. Fig 4. 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. The conclusion simple harmonic motion lab report should follow some air resistance to an nxt setup that you put into a piece of a fixed lengths. is always opposite the direction of the displacement. 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. Procedure. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Investigate the length dependence of the period of a pendulum. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. is the displacement of the body from its equilibrium position (at Introduction The best examples of simple harmonic motion are installed bloc in the spring. 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. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular 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. PDF Simple Harmonic Motion - Pendulum Experiment Report The oscillating motion is interesting and important to study because it closely tracks many other types of motion. experiment (MS Word format): As of now, there are no The negative sign in Equation 1 indicates that the direction of the spring force is a restoring force. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass.