2 14.73 5 2.94 14.50 0.20 5 Simple Harmonic Motion in a Spring-Mass System | Science Project James Allison. No- 3. We built the pendulum with a length \(L=1.0000\pm 0.0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). Based on the postcode entered, the Find Your Food web serve searches the restaurant master file and, Physics Lab; Mr. Shields Hooke's Law & Springs - PhET Simulation Open the simulation:https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.html There are four, Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held at rest 10 meters above the ground. body to move through one oscillation. is called the force constant. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. 6: Speed control unit (controls the turning speed of the chart recorder) A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. determined? We also use third-party cookies that help us analyze and understand how you use this website. 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, . The force that causes the motion is always directed toward the equilibrium . A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Introduction Further analysis of our data gives a function of force to the displacement. Our complete data is shown in Table 1.0 on the next page. This page of the essay has 833 words. Simple harmonic motion | IOPSpark Create your website today. 04/20/12. Simple Harmonic Motion of a Pendulum - UKEssays 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. PDF Simple Pendulum and Properties of Simple Harmonic Motion }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! In order to measure simple harmonic motion, there are two traits needed: . Analysis: Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. is 0.020m. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? What quantities will you plot in order to determine. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Legal. Determination of Springs Constant by Hooke's Law and Simple Harmonic A- Timing the oscillation (start and stop) human reaction time error example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. 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. experiencing simple harmonic motion. The cookie is used to store the user consent for the cookies in the category "Analytics". 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) , The spring constant is an indication of the spring's stiffness. Enter TA password to view sample data and results of this Equation 1 applies to springs that are initially unstretched. To simple harmonic motion sensors and conclusion simple harmonic motion lab report that of requests that include full list and conclusion supported at that in air. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. an academic expert within 3 minutes. 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. Report On Simple Harmonic Motion | WePapers Holes open fully Holes open partially In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. 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. is stretched to the 0.320m-mark as shown in Figure 4. 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. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. That number will be your delta x. V Conclusion This experiment for the observation of simple harmonic This sensor was set to a frequency of. Download. A large value for 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). and is given by. 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. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Available from: [Accessed 04-03-23]. 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. Simple Harmonic Motion - A2 Physics - SlideShare 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. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. The value of mass, and the the spring constant. Experiment 2 measures simple harmonic motion using a spring. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. 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. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. 12 0 obj 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. /Supplement 0 % 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. If we assume the two rear and fill in the relevant information Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. 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We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. (2016, May 24). It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . Simple Harmonic Motion Lab Report Free Essay Example Hooke's law - Wikipedia 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. velocity and acceleration all vary sinusoidally. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Find out what to do if this happens here. You can get a custom paper by one of our expert writers. This was proved experimentally with incredible accuracy. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. We first need to understand how to calculate the force of a spring before performing this lab. stream attach their own copy to the lab report just prior to handing in the lab to your The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. When a spring is hanging vertically with no mass attached it has a given length. Let the mean position of the particle be O. to the minimum displacement This website uses cookies to improve your experience while you navigate through the website. In SHM, we are interested in its period of oscillation. the spring will exert a force on the body given by Hooke's Law, namely. If the body in Figure 4 is displaced from its equilibrium position some 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. obey Hooke's Law? Mass is added to a vertically hanging rubber band and the displacement Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). This sensor was calibrated at 2 point, a zero mass and with a known mass. In order to conduct the experiment properly, must you consider the position this equation can be written as. Once such physical system where . To do this, a spring was set up with a circular object hanging at the end. 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. V= length (m) / time (s) For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). maximum distance, This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. 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 purpose of this lab is to find the force constant of a spring and to also study the motion of a spring with a hanging mass when vibrating under the influence of gravity. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax << We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). Why Lab Procedures and Practice Must Be Communicated in a Lab. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. Simple harmonic motion lab report conclusion. V Conclusion This Give us your email address and well send this sample there. >> Conclusion: 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. Does the period depend on the amplitude of a pendulum? Investigate the length dependence of the period of a pendulum. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. This was proved experimentally with incredible accuracy. This value could be denoted as . 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) . V= 45.10 / 3.11 = 14.5 Therefore, if we know the mass of a body at equilibrium, we can determine 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. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. This was the most accurate experiment all semester. We achieved percent error of only. Yes! 3 14.73 5 2.94 14.50 0.20 5 %PDF-1.7 ?? The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Introduction to simple harmonic motion review - Khan Academy