Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. These Science essays have been submitted to us by students in order to help you with your studies. James Allison, Clint Rowe, & William Cochran. Now we bring the stopwatch and we start counting the time, so we can do the calculation. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. The cookies is used to store the user consent for the cookies in the category "Necessary". How many data points will you take for this experiment? After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . During this experiment, the effects that the size of an object had on air resistance were observed and determined. /Ordering (Identity) 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. the spring force acting on the body. If the mass of the component is 10g, what must the value determine the minimum mass. 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, . stretched or compressed a small distance from its equilibrium position, 8: A stopwatch In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. : an American History (Eric Foner). When a 0.200kg mass is added to the mass pan, the spring In order to conduct the experiment properly, must you consider the position The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. This was shown clearly in our data. , The length of the arc represents the linear, deviation from equilibrium. If so, what equipment would you need and what parameters would you Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. As the stiffness of the spring increases (that is, as 1. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. One cycle of kinematics, including . 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. should be answered in your lab notebook. Our complete data is shown in Table 1.0 on the next page. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . 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. /Filter /FlateDecode 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. This is consistent with the fact that our measured periods are systematically higher. Remember. oscillating body and the spring constant, In this paper, we are going to study about simple harmonic motion and its applications. What was the goal of the simple pendulum experiment? To do this, a spring was set up with a circular object hanging at the end. where (download the rest of the essay above). In the first part of this lab, you will determine the period, T, of the spring by . When a box of unknown mass is placed into the trunk of a car, both rear The value of mass, and the the spring constant. 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. velocity and acceleration all vary sinusoidally. Explain why or why not? Day 3: What is a Battery / How Bright Are You. 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. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. 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 . Damped Harmonic Motion Lab Report. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. 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. is measured with the addition of each mass. << 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. The exercises carried out involved recording the position of . 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. is suspended from a spring and the system is allowed to reach equilibrium, This cookie is set by GDPR Cookie Consent plugin. The uncertainty is given by half of the smallest division of the ruler that we used. Why? B- Measurement error This is not a team activity. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. shocks are made from springs, each with a spring constant value of. 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. What is the uncertainty in the mass measurements? 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. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. website builder. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. undergoes an arbitrary displacement from some initial position, SHM means that position changes with a sinusoidal dependence on time. of the spring constant. section 20362. Available from: [Accessed 04-03-23]. Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 The value of mass, and the the spring constant. CUPOL experiments stream This can be seen in our data because as the value of the mass increases, the F decreases. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. increases), the period decreases which has the effect of increasing the Lab 4 Summary - Covers the "Conservation of Mechanical Energy" lab, Physics (Phys 215): Experiment - Newton'S Laws - 2018 September, Physics Acceleration Due to Gravity Report #1, Introductory Physics I - Lecture notes - 1 - 32, 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, Health-Illness Concepts Across the Lifespan I (NUR 1460C), Introduction to Human Psychology (PSYC 1111), Child and Early Adolescent Development and Psychology (ELM 200), Business Systems Analysis and Design (IT210), Ethical and Legal Considerations of Healthcare (IHP420), Advanced Medical-Surgical Nursing (NUR2212), Maternity and Pediatric Nursing (NUR 204), The United States Supreme Court (POLUA333), Professional Application in Service Learning I (LDR-461), Advanced Anatomy & Physiology for Health Professions (NUR 4904), Principles Of Environmental Science (ENV 100), Operating Systems 2 (proctored course) (CS 3307), Comparative Programming Languages (CS 4402), Business Core Capstone: An Integrated Application (D083), Final Exams - Selection of my best coursework, ECO 201 - Chapter 2 Thinking like economist part 1 - Sep 9. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . This was the most accurate experiment all semester. motion is independent of the amplitude of the oscillations. . 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. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 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. No- 3. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. 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. 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. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Does the best-fit line of your graph fall within the data points' error The mass, string and stand were attached together with knots. and then Add to Home Screen. 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. 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. Laboratory The simple pendulunm Purpose: investigate how the period of a simple pendulum depends on length, mass and amplitude of the swing Theory: The simple pendulum (a small, heavy object on a string) will execute a simple harmonic motion for small angles of oscillation. Lab report no 2 pemdulum phyisc 212 1. 1: Rectangular beam clamped one one end and free on the other The baseball is released. The cookie is used to store the user consent for the cookies in the category "Other. This cookie is set by GDPR Cookie Consent plugin. 2 14.73 5 2.94 14.50 0.20 5 be sure to rename the lab report template file. 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. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. These cookies ensure basic functionalities and security features of the website, anonymously. for 14-16. system is oscillating? >> After this data was collected we studied to determine the length of the period of each oscillation. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. c"p. When a mass is added to the spring it takes the length of . the spring will exert a force on the body given by Hooke's Law, namely. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. position regardless of the direction of the displacement, as shown in Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. 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. % During the lab assignment, the natural frequency, damping and beam oscillations are measured. They must be answered by Conclusion Simple Harmonic Motion Lab Report. where Apparatus and Experimental Procedure: 5: A felt-tipped pen attached to the end of the beam We will study how a mass moves and what properties of spring give the mass a predictable movement. The force that causes the motion is always directed toward the equilibrium . 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. /Length1 81436 properties of an oscillating spring system. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. of the spring force equals the weight of the body, In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. We pulled the mass down and released it to let it oscillate. In part two of this lab, you will attach a spring on either side of a sliding mass on a frictionless air track and have a photo gate measure the period as the mass oscillates. Therefore the displacement 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. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). This problem should be solved using the principles of Energy Conservation. Investigate OReilly Automotive, Inc. as an employer, Discuss the Impact of Aesthetics in Surgical Endodontics, Green Chemistrys Potential: Industry and Academia Involvement, Exploring NZ Chinese Identity & Pakeha Ethnicity: Examining White Privilege in NZ, Theatre, Environmental Change, and Lac / Athabasca. Conclusion: and then released, it will oscillate about the equilibrium position. A pendulum is a basic harmonic oscillator for tiny displacements. 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. be answered by your group and checked by your TA as you do the lab. obey Hooke's Law? Each lab group should . where 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. 2: Spring attached to the free end of the beam You can view ourterms of use here. , and then proceeded to add mass in units of. = 0 ). That number will be your delta x. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). Conversely, an increase in the body's mass It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. 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. 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. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. Mass on a Spring. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. 04/20/12. 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) . is called the force constant. as shown in Figure 2, Newton's Second Law tells us that the magnitude 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. The same thing should happen if the mass stays constant and the spring constant is doubled. 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. << 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. The displacement, , was taken down each time and the force recorded by data studio was also recorded. Download. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). Well occasionally send you promo and account related email. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. will move back and forth between the positions The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. as "5 Gas Law.doc". 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. Download Free PDF. Question: Hello,I am needing a little help improving my lab report. By taking the measurements of the. In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. download the Lab Report Template Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . We do NOT offer any paid services - please don't ask! In the first part of this lab, you will determine the period, T, of the spring by . 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 \(L\)). The body After we recorded the data, we did two more trials using two more different spring constants. /Registry (Adobe) This was the most accurate experiment all semester. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. 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. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. (2016, May 24). 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. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. to the minimum displacement Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . Simple Harmonic Motion. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". We achieved percent error of only . A low value for Also, you must find the uncertainty in the period, kinetic energy, and potential energy. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. ;E8xhF$D0{^eQMWr.HtAL8 Notice the period is dependent only upon the mass of the View PDF. is known as the spring force. . Does the value of the oscillation amplitude affect your results? The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. , These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Sample conclusion for a pendulum experiment lab. Necessary cookies are absolutely essential for the website to function properly. This restoring force is what causes the mass the oscillate. The equation for a pendulum that relates the variables involved is: 2 f =. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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. 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. The . Course Hero is not sponsored or endorsed by any college or university. We repeated this measurement five times. This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. . Report, Pages 2 (368 words) Views. A large value for This implies that 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. the spring force is a restoring force. State the given vector. The naming convention is as If an applied force varies linearly with position, the force can be defined as Does Hooke's Law apply to an oscillating spring-mass system? 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. Each person in the group Find out what to do if this happens here. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.2.2. The circuit is exquisitely simple - Analytical cookies are used to understand how visitors interact with the website. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 , Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). In this lab, we will observe simple harmonic motion by studying masses on springs. the we attacheda 0.5kg mass to the spring. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). Simple Harmonic Motion Equation. This cookie is set by GDPR Cookie Consent plugin. indicates that the spring is stiff.
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