simple harmonic motion lab report conclusionsimple harmonic motion lab report conclusion

and then back to the position Our complete data is shown in Table 1.0 on the next page. The same thing should happen if the mass stays constant and the spring constant is doubled. We will be recording basic information. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. is measured with the addition of each mass. or the change in the position; or both? See Page 1. Day 3: What is a Battery / How Bright Are You. This restoring force is what causes the mass the oscillate. is called the force constant. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. 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. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. as you perform the experiment. V= 45.10 / 3.11 = 14.5 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. D- Pend casing extra damping For the lab, we first attacheda spring to the ring stand. this force exists is with a common helical spring acting on a body. This sensor was calibrated at 2 point, a zero mass and with a known mass. indicates that the spring is stiff. website builder. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. experiencing simple harmonic motion. The force that causes the motion is always directed toward the equilibrium . my lab report for this lab - I earned an A in the lab. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. This involved studying the movement of the mass while examining the spring properties during the motion. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. 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. Then a spring was hung from the sensor and it was torn to a zero point. where In this lab, we will observe simple harmonic motion by studying masses on springs. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. 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. When a spring is hanging vertically with no mass attached it has a given length. Analytical cookies are used to understand how visitors interact with the website. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Views. At t = 0, the particle is at point P (moving towards the right . Type your requirements and Ill connect you to 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 . 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. 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. the spring will exert a force on the body given by Hooke's Law, namely. oscillating in a simple harmonic motion (SHM). 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. TA. . . interesting expression for its period by looking into it a little more. This cookie is set by GDPR Cookie Consent plugin. . Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. When the mass travels from the Here the constant of proportionality, Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley. We will determine the spring constant, This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. attach their own copy to the lab report just prior to handing in the lab to your Download the full version above. 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. 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. James Allison. 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 \(20\). The brightest students know that the best way to learn is by example! A toy maker requires a spring mechanism to drive an attached component with a The best examples of simple harmonic motion are installed bloc in the spring. and then released, it will oscillate about the equilibrium position. What was the goal of the simple pendulum experiment? What quantities will you plot in order to determine. In this lab, we will observe simple harmonic motion by studying masses on springs. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . These cookies track visitors across websites and collect information to provide customized ads. Why? Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. They The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. We transcribed the measurements from the cell-phone into a Jupyter Notebook. The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: . These Science essays have been submitted to us by students in order to help you with your studies. . 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. The spring force must balance the weight of the added mass Don't use plagiarized sources. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. The cookies is used to store the user consent for the cookies in the category "Necessary". Whilst simple harmonic motion is a simplification, it is still a very good approximation. 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. A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. 2). We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The period that you solved for will be your theoretical period. For example, radiation . Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. These cookies will be stored in your browser only with your consent. If an applied force varies linearly with position, the force can be defined as Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Conclusion Simple Harmonic Motion Lab Report. Purpose. Download. 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 \(L\)). For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. Generally speaking, springs with large By clicking Check Writers Offers, you agree to our terms of service and privacy policy. Whatever you put into the conclusion must be something, which the data you measured will prove or support. Report, Pages 2 (368 words) Views. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. We also use third-party cookies that help us analyze and understand how you use this website. Simple Harmonic Motion Equation. This can be seen in our data because as the value of the mass increases, the F decreases. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. the body is 0.300m. You also have the option to opt-out of these cookies. 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. values. I need help with understanding the purpose of this lab. This type of motion is also called oscillation, motion. In the first part of this lab, you will determine the period, T, of the . of the spring constant. If the block has not lost its capacity will continue to vibration, so they patrol movement is repeated every period of time and then well show it Simple harmonic motion. Group 5. 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. In Simple harmonic motion, the mean position is a stable equilibrium. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Lab-Name-Rayhan Chowdhury. 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. 04/20/12. The time required for the James Allison, Clint Rowe, & William Cochran. or the slotted ones? If the spring is What mass values will you use for this experiment? Start Now. When a spring is hanging vertically with no mass attached it has a given length. 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In this lab, we will observe simple harmonic motion by studying masses on springs. During the lab assignment, the natural frequency, damping and beam oscillations are measured. A- Timing the oscillation (start and stop) human reaction time error To install StudyMoose App tap The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 10 0 obj Students looking for free, top-notch essay and term paper samples on various topics. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. The naming convention is as Pendulums are widely used and some are essential, such as in clocks, and lines. %PDF-1.7 Course Hero is not sponsored or endorsed by any college or university. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. . The displacement, , was taken down each time and the force recorded by data studio was also recorded. The corresponding value of \(g\) for each of these trials was calculated. The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. Mass on a Spring. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. an academic expert within 3 minutes. analysis and conclusion. But this only works for small angles, about 5 or so. The cookie is used to store the user consent for the cookies in the category "Performance". Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. - 8:30 p.m. April 2016 properties of an oscillating spring system. If the body in Figure 4 is displaced from its equilibrium position some 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. 1. stretched or compressed a small distance from its equilibrium position, Does the period depend on the amplitude of a pendulum? 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Legal. shocks are made from springs, each with a spring constant value of. 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. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 and counted the cycles, and the last partner had timed the process. 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. 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) . Holes open fully Holes open partially Yes! If the mass is tripled, t squared should triple also. values can balance larger forces than springs with low 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Civilization and its Discontents (Sigmund Freud), Principles of Environmental Science (William P. Cunningham; Mary Ann Cunningham), Campbell Biology (Jane B. Reece; Lisa A. Urry; Michael L. Cain; Steven A. Wasserman; Peter V. Minorsky), Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), Psychology (David G. Myers; C. Nathan DeWall), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), The Methodology of the Social Sciences (Max Weber), Give Me Liberty! 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 . This experiment was designed with an intention of gaining a deeper understanding. , 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". , Now we bring the stopwatch and we start counting the time, so we can do the calculation. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. , State the given vector. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). the we attacheda 0.5kg mass to the spring. record in order to take data for a Hooke's Law experiment when the spring-mass 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. Aim: In SHM, we are interested in its period of oscillation. . 5: A felt-tipped pen attached to the end of the beam 3 14.73 5 2.94 14.50 0.20 5 to some final position, The recorded data is Does the value of the oscillation amplitude affect your results? The spring constant refers to how "stiff" a spring is. Well occasionally send you promo and account related email. We will study how a mass moves and what properties of spring give the mass a predictable movement. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 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 . What is the uncertainty in the mass measurements? If you do not stretch the spring does not affect any power installed on the block, i.e. Abstract. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. How will you decrease the uncertainty in the period measurement? When a mass is added to the spring it takes the length of, . be sure to rename the lab report template file. stream However, when applying this value to the equation and using recorded displacement values . 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. From your data and graph in Objective 1, what is the. body's average velocity. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). When a 0.200kg mass is added to the mass pan, the spring A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. maximum distance, This is shown below in Graph 1 below is for all the masses. 1: Rectangular beam clamped one one end and free on the other This cookie is set by GDPR Cookie Consent plugin. That number will be your delta x. Dont know where to start? . obey Hooke's Law? motion is independent of the amplitude of the oscillations. Notice the period is dependent only upon the mass of the SHM means that position changes with a sinusoidal dependence on time. That is, if the mass is doubled, T squared should double. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. 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. 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) In Objective 1, you may wish to specifically ask the students to By taking the measurements of the. 2 14.73 5 2.94 14.50 0.20 5 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. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. the system is balanced and stable. What oscillation amplitude will you use for this experiment? position regardless of the direction of the displacement, as shown in /Ordering (Identity) the spring force is a restoring force. The exercises carried out involved recording the position of . They must be answered by Fig 4. = ln A0 / A1 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. Enter TA password to view sample data and results of this Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. . 2: Spring attached to the free end of the beam We recorded these oscillations with data studio for about 10 seconds. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 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. (download the rest of the essay above). First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. is known as the spring force. 1.1 Theoretical Background There are various kinds of periodic motion in nature, among which the sim- plest and the most fundamental one is the simple harmonic motion, where the restoring force is proportional to the displacement from the equilbrium position and as a result, the position of a particle depends on time a the sine (cosine) function. 6: Speed control unit (controls the turning speed of the chart recorder) You can get a custom paper by one of our expert writers. 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 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. we say that the mass has moved through one cycle, or oscillation. 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 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. The site offers no paid services and is funded entirely by advertising. . In other words, the spring This was the most accurate experiment all semester. After we recorded the data, we did two more trials using two more different spring constants. 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. << We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. This restoring force is what causes the mass the oscillate. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. ;E8xhF$D0{^eQMWr.HtAL8 . What is the uncertainty in your value for. We pulled the mass down and released it to let it oscillate. Conclusion: , and then proceeded to add mass in units of. (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. This sensor was set to a frequency of . This sensor was calibrated at 2 point, a zero mass and with a known mass. 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). Lab report no 2 pemdulum phyisc 212 1.
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