Solved Hello,I am needing a little help improving my lab - Chegg Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). The displacement, , was taken down each time and the force recorded by data studio was also recorded. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. (PDF) LAP REPORT: THE SIMPLE PENDULUM - Academia.edu Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. James Allison. is measured with the addition of each mass. PDF Simple Harmonic Motion - Pendulum Experiment Report or the change in the position; or both? 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. Simple Harmonic Motion - A2 Physics - SlideShare All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. record in order to take data for a Hooke's Law experiment when the spring-mass When a mass, , : an American History (Eric Foner). will move back and forth between the positions Course Hero is not sponsored or endorsed by any college or university. 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. This is consistent with the fact that our measured periods are systematically higher. Essay: Simple Harmonic Motion - lab report Notice the period is dependent only upon the mass of the SIMPLE HARMONIC MOTION:MASS ON SPRING Lab Report - Studentshare V= 45.10 / 3.11 = 14.5 It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. undergoes an arbitrary displacement from some initial position, They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. 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. 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. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). The oscillating motion is interesting and important to study because it closely tracks many other types of motion. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. 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 \(20\). = ln A0 / A1 Generally speaking, springs with large Lab. should be answered in your lab notebook. 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. 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. This value could be denoted as, . example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. 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. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 7: A ruler for 14-16. A low value for means the spring is soft. Let the mean position of the particle be O. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . TA. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 When block away when the subject of stability or the balance spring will exert force to return it back to the original position. From your data and graph, what is the minimum mass. Legal. 27.8: Sample lab report (Measuring g using a pendulum) This value could be denoted as . THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. 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. c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. The value of mass, and the the spring constant. 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. Conversely, an increase in the body's mass Each lab group should shocks are compressed a distance of 7.0cm. Experiment 11- Simple Harmonic Motion - Studocu 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. Download. 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. No- 3. In order to conduct the experiment properly, must you consider the position Which set of masses will you use for this experiment, the hooked masses table #5 working on the Ideal Gas Law experiment would rename their template file force always acts to restore, or return, the body to the equilibrium study the effects, if any, that amplitude has on the period of a body The values were subtracted by one another to give a period the results are shown in table 2.1. These experiments are suitable for students at an advanced level . 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. 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. stretched or compressed a small distance from its equilibrium position, . If so, what equipment would you need and what parameters would you In this lab, we will observe simple harmonic motion by studying masses on springs. 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Figures 1a - 1c. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. . A pendulum is a basic harmonic oscillator for tiny displacements. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. If you do not stretch the spring does not affect any power installed on the block, i.e. is the body's displacement. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . The brightest students know that the best way to learn is by example! Lab Report 12: Simple Harmonic Motion, Mass on a Spring. Each person should Experiment 2 measures simple harmonic motion using a spring. 15.2: Simple Harmonic Motion - Physics LibreTexts This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Calculation and Result: 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. How many data points will you take for this experiment? One cycle of kinematics, including . The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Then a spring was hung from the sensor and it was torn to a zero point. Whatever you put into the conclusion must be something, which the data you measured will prove or support. system is oscillating? EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. an academic expert within 3 minutes. for an individual spring using both Hooke's Law and the For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. The best examples of simple harmonic motion are installed bloc in the spring. 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. is known as the spring force. The cookie is used to store the user consent for the cookies in the category "Other. determined? /Length1 81436 The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. 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. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. After this data was collected we studied to determine the length of the period of each oscillation. 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. Remember. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. Does the best-fit line of your graph fall within the data points' error This cookie is set by GDPR Cookie Consent plugin. Conclusion Simple Harmonic Motion Lab Report After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. If an applied force varies linearly with position, the force can be defined as PDF Lab 1: damped, driven harmonic oscillator 1 Introduction After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. * This essay may have been previously published on Essay.uk.com at an earlier date. We pulled the mass down and released it to let it oscillate. 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 . Available from: [Accessed 04-03-23]. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). Simple harmonic motion. The cookie is used to store the user consent for the cookies in the category "Performance". , and then proceeded to add mass in units of. or the slotted ones? 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. 5: A felt-tipped pen attached to the end of the beam We will be recording basic information. Hooke's Law and Simple Harmonic Motion - WebAssign AP Physics Lab 12: Harmonic Motion in a Spring - YouTube 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. 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. 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.