Mass on a Spring. The uncertainty is given by half of the smallest division of the ruler that we used. shocks are made from springs, each with a spring constant value of. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. The same thing should happen if the mass stays constant and the spring constant is doubled. 12 0 obj website builder. When a 0.200kg mass is added to the mass pan, the spring (See. 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. B- Measurement error This sensor was set to a frequency of . These Science essays have been submitted to us by students in order to help you with your studies. Download the full version above. Day 3: What is a Battery / How Bright Are You. This value could be denoted as . Create your website today. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. is the body's displacement. How many data points will you take for this experiment? The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Give us your email address and well send this sample there. Market-Research - A market research for Lemon Juice and Shake. If the mass is tripled, t squared should triple also. 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. Course Hero is not sponsored or endorsed by any college or university. , and then proceeded to add mass in units of. 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". Calculation and Result: These cookies will be stored in your browser only with your consent. in the opposite direction, the resulting motion is known as simple harmonic 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. 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. They must be answered by 7: A ruler The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. or the slotted ones? When the mass travels from the 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. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . study the effects, if any, that amplitude has on the period of a body (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. When a mass, experiences a force that is linearly proportional to its displacement but . 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. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). and Does the value of the oscillation amplitude affect your results? In other words, the spring Generally speaking, springs with large After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 or the change in the position; or both? 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. For example, radiation . The body stretched or compressed a small distance from its equilibrium position, attach their own copy to the lab report just prior to handing in the lab to your Question: Hello,I am needing a little help improving my lab report. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. C- Error for parallax Holes open fully Holes open partially This period is defined as where, . . to some final position, V= length (m) / time (s) 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. What is the uncertainty in the mass measurements? 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. , In this lab, we will observe simple harmonic motion by studying masses on springs. of the spring force equals the weight of the body, This restoring force is what causes the mass the oscillate. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. Dont know where to start? Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. That is, if the mass is doubled, T squared should double. Simple harmonic motion is governed by a restorative force. Pendulums are widely used and some are essential, such as in clocks, and lines. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . Since each lab group will turn in an electronic copy of the lab report, , was taken down each time and the force recorded by data studio was also recorded. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. 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. Start Now. the spring will exert a force on the body given by Hooke's Law, namely. determine the minimum mass. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. . and then released, it will oscillate about the equilibrium position. We do NOT offer any paid services - please don't ask! One cycle of kinematics, including . 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. Find out what to do if this happens here. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. The spring constant refers to how "stiff" a spring is. the spring force acting on the body. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. We will study how a mass moves and what properties of spring give the mass a predictable movement. Each lab group should 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. 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. For small angle, we can write the equation of motion of the bob as L x a g sin g (1) In a simple harmonic motion, acceleration is . 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. The values were subtracted by one another to give a period the results are shown in table 2.1. an academic expert within 3 minutes. They The spring constant is an indication of the spring's stiffness. A large value for and counted the cycles, and the last partner had timed the process. What was the goal of the simple pendulum experiment? These cookies ensure basic functionalities and security features of the website, anonymously. The law is named after 17th-century . 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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. 8: A stopwatch The period that you solved for will be your theoretical period. The value of mass, and the the spring constant. the system is balanced and stable. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . should be answered in your lab notebook. We pulled the mass down and released it to let it oscillate. 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Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Don't use plagiarized sources. This sensor was set to a frequency of. 206Conclusion Sample-2004 206ConSam. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. The data correlate close to Hooke's Law, but not quite. 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. This restoring force is what causes the mass the oscillate. This website uses cookies to improve your experience while you navigate through the website. We will be recording basic information. D- Pend casing extra damping In the first part of this lab, you will determine the period, T, of the spring by . 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. determined? Purpose. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . But opting out of some of these cookies may affect your browsing experience. and then Add to Home Screen. 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. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. In Simple harmonic motion, the mean position is a stable equilibrium. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Therefore the displacement EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. I). The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. This was the most accurate experiment all semester. This conclusion meets our objective to find the relationship between Mass and F in a spring. means the spring is soft. 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 From your data and graph in Objective 1, what is the. SHM means that position changes with a sinusoidal dependence on time. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. 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. Lab report no 2 pemdulum phyisc 212 1. %PDF-1.7 How will you decrease the uncertainty in the period measurement? Sample conclusion for a pendulum experiment lab. . 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. James Allison. At t = 0, the particle is at point P (moving towards the right . 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. A pendulum is a simple set up in which a string is attached to a small bob. . We will determine the spring constant, Simple Harmonic Motion Lab Report. ( = 1.96N). Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. ;E8xhF$D0{^eQMWr.HtAL8 endobj section 20362. This was proved experimentally with incredible accuracy. the spring force is a restoring force. Then a spring was hung from the sensor and it was torn to a zero point. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. The exercises carried out involved recording the position of . where /Registry (Adobe) , We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. body's average velocity. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. For the lab, we first attacheda spring to the ring stand. 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. James Allison, Clint Rowe, & William Cochran. motion. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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. Each person should , 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. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . Type your requirements and Ill connect you to is stretched to the 0.320m-mark as shown in Figure 4. The mass, string and stand were attached together with knots. We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. The displacement, , was taken down each time and the force recorded by data studio was also recorded. 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 . Analytical cookies are used to understand how visitors interact with the website. * This essay may have been previously published on Essay.uk.com at an earlier date. Lab Report 12: Simple Harmonic Motion, 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. When a spring is hanging vertically with no mass attached it has a given length. Group 5. . analysis and conclusion. 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. Each of the reasons for errors 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 experiment was conducted in a laboratory indoors. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. This sensor was calibrated at 2 point, a zero mass and with a known mass. , By continuing, you agree to our Terms and Conditions. The cookie is used to store the user consent for the cookies in the category "Analytics". Simple Harmonic Motion. 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. this equation can be written as. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. From your data and graph, what is the minimum mass. Let the mean position of the particle be O. Apparatus and Experimental Procedure: 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. 6: Speed control unit (controls the turning speed of the chart recorder) We recorded these oscillations with data studio for about 10 seconds. /Supplement 0 This page of the essay has 833 words. and is given by. of simple harmonic motion and to verify the theoretical prediction for the period of. Simple harmonic motion. The naming convention is as 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. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Why Lab Procedures and Practice Must Be Communicated in a Lab. . 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. 10 0 obj for an individual spring using both Hooke's Law and the A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. In this lab, we will observe simple harmonic motion by studying masses on springs. The value of mass, and the the spring constant. Introduction FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. velocity and acceleration all vary sinusoidally. should print-out the Questions section and answer them individually. Students looking for free, top-notch essay and term paper samples on various topics. It does not store any personal data. This motion is periodic, meaning the displacement, interesting expression for its period by looking into it a little more. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. 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. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. . [2] North Carolina State University Physics. 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. TA. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. You also have the option to opt-out of these cookies. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. oscillating in a simple harmonic motion (SHM). View PDF. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . /Filter /FlateDecode When a mass is added to the spring it takes the length of . Aim: As the stiffness of the spring increases (that is, as That number will be your delta x. 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. << 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. indicates that the spring is stiff. A toy maker requires a spring mechanism to drive an attached component with a Answer (1 of 5): The sources of errors in a simple pendulum experiment are the following: 1. human errors comes in when measuring the period using a stopwatch. Our complete data is shown in Table 1.0 on the next page. ?? Course Hero is not sponsored or endorsed by any college or university. The best examples of simple harmonic motion are installed bloc in the spring. c"p. Here the constant of proportionality, Abstract. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. V= 45.10 / 3.11 = 14.5 The force that causes the motion is always directed toward the equilibrium . See Page 1. The purpose of this lab experiment is to study the behavior of springs in It is also possible to Whatever you put into the conclusion must be something, which the data you measured will prove or support. the we attacheda 0.5kg mass to the spring. Use the apparatus and what you know about. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. In SHM, we are interested in its period of oscillation. The recorded data is It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the length on the other hand had a significant effect on the . Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . experiment (MS Word format): Enter TA password to view the Lab Manual write up for this By taking the measurements of the. 692. What is the uncertainty in the period measurements? system is oscillating? CUPOL experiments Lab. and fill in the relevant information
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