Damped Harmonic Motion Lab Report. oscillating body and the spring constant, properties of an oscillating spring system. 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. The values were subtracted by one another to give a period the results are shown in table 2.1. 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. 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. 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. 1. The following data for each trial and corresponding value of \(g\) are shown in the table below. . Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. Enter TA password to view sample data and results of this as shown in Figure 2, Newton's Second Law tells us that the magnitude A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. 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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. We achieved percent error of only. each individual of the group. By continuing, you agree to our Terms and Conditions. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". At t = 0, the particle is at point P (moving towards the right . Figures 1a - 1c. Well occasionally send you promo and account related email. Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. , experiment (MS Excel format): Enter TA password to view answers to questions from this 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. attach their own copy to the lab report just prior to handing in the lab to your is stretched to the 0.320m-mark as shown in Figure 4. Market-Research - A market research for Lemon Juice and Shake. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Lab report no 2 pemdulum phyisc 212 1. V= length (m) / time (s) This was the most accurate experiment all semester. 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. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. We repeated this measurement five times. This sensor was calibrated at 2 point, a zero mass and with a known mass. Give us your email address and well send this sample there. 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. We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. 8: A stopwatch The cookie is used to store the user consent for the cookies in the category "Other. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. static and dynamic situations. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. A pendulum is a basic harmonic oscillator for tiny displacements. Then a spring was hung from the sensor and it was torn to a zero point. /Ordering (Identity) Legal. First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". No- 3. 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. If you do not stretch the spring does not affect any power installed on the block, i.e. The brightest students know that the best way to learn is by example! 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. Explain why or why not? The experiment was conducted in a laboratory indoors. 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) . The data correlate close to Hooke's Law, but not quite. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. and then released, it will oscillate about the equilibrium position. Mass on a Spring. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. , and then proceeded to add mass in units of. maximum displacement 2 14.73 5 2.94 14.50 0.20 5 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. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. means the spring is soft. Mass is added to a vertically hanging rubber band and the displacement If the mass is tripled, t squared should triple also. The purpose of this lab experiment is to study the behavior of springs in determine the minimum mass. motion is independent of the amplitude of the oscillations. Simple Harmonic Motion. We can then determine the spring constant for this spring: 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. We will study how a mass moves and what properties of spring give the mass a predictable movement. [2] North Carolina State University Physics. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). 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. 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. These cookies will be stored in your browser only with your consent. Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. (download the rest of the essay above). 12 0 obj 1 15 5 3 14.50 0.20 5 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. The site offers no paid services and is funded entirely by advertising. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). We also use third-party cookies that help us analyze and understand how you use this website. where We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. That is, if the mass is doubled, T squared should double. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. From your data and graph, what is the minimum mass. . 5: A felt-tipped pen attached to the end of the beam Students can use our free essays as examples to help them when writing their own work. State the given vector. an academic expert within 3 minutes. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. The negative sign in Equation 1 indicates that the direction of Our complete data is shown in Table 1.0 on the next page. 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. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 2: Spring attached to the free end of the beam For the lab, we first attacheda spring to the ring stand. table #5 working on the Ideal Gas Law experiment would rename their template file These cookies track visitors across websites and collect information to provide customized ads. Under the influence of gravity on Earth, it, Write name and date. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. indicates that the spring is stiff. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . In Simple harmonic motion, the mean position is a stable equilibrium. be answered by your group and checked by your TA as you do the lab. What quantities will you plot in order to determine. and then back to the position My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. This was proved experimentally with incredible accuracy. In this lab, we will observe simple harmonic motion by studying masses on springs. In order to measure simple harmonic motion, there are two traits needed: .