Conclusion: Day 3: What is a Battery / How Bright Are You. . 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, . 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. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). is suspended from a spring and the system is allowed to reach equilibrium, FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. increases), the period decreases which has the effect of increasing the A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. force always acts to restore, or return, the body to the equilibrium What is the uncertainty in your value for. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Holes open fully Holes open partially Course Hero is not sponsored or endorsed by any college or university. an academic expert within 3 minutes. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. The naming convention is as What oscillation amplitude will you use for this experiment? How will you decrease the uncertainty in the period measurement? This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Start Now. The period that you solved for will be your theoretical period. - 8:30 p.m. April 2016 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. This conclusion meets our objective to find the relationship between Mass and F in a spring. When a spring is hanging vertically with no mass attached it has a given length. 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. Abstract. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. Create your website today. << 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. EssaySauce.com is a completely free resource for students. or the slotted ones? The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. This motion is periodic, meaning the displacement, This is not a team activity. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. F=1/T 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". 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 will determine the spring constant, /Ordering (Identity) . 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. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Calculation and Result: experiment (MS Word format): Enter TA password to view the Lab Manual write up for this We repeated this measurement five times. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). 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. follows: For example the group at lab body to move through one oscillation. 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. 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 oscillating motion is interesting and important to study because it closely tracks many other types of motion. Attached will be the lab experiment we did and the results I recorded. 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. attach their own copy to the lab report just prior to handing in the lab to your Then a spring was hung from the sensor and it was torn to a zero point. The time required for the It will be interesting to understand what gives the mass the oscillating property.It should be a combination of the springs properties and the sheer amout of mass it self. Necessary cookies are absolutely essential for the website to function properly. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. ?? 1. Notice the period is dependent only upon the mass of the This is consistent with the fact that our measured periods are systematically higher. Find out what to do if this happens here. static and dynamic situations. 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. means the period will also increase, thereby requiring more time for the Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! TA. 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. . 8: A stopwatch CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Question: 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. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. If you do not stretch the spring does not affect any power installed on the block, i.e. 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. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. 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 period. 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. website builder. Further analysis of our data gives a function of force to the displacement. From your data and graph, what is the minimum mass. Two types of springs (spring I and II) with . We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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. How many data points will you take for this experiment? See Page 1. 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. The considerable success of Boolean function analysis suggests that discrete harmonic analysis could likewise play a central role in theoretical computer science._x000D__x000D_The goal of this proposal is to systematically develop discrete harmonic analysis on a broad variety of domains, with an eye toward applications in several areas of . Don't use plagiarized sources. The brightest students know that the best way to learn is by example! 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 purpose of this lab experiment is to study the behavior of springs in to some final position, For example in Figure 3, the initial position of This is shown below in Graph 1 below is for all the masses. position regardless of the direction of the displacement, as shown in associated with this experiment. 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. ~ 5";a_x ~10). A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. A low value for 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 . Download the full version above. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. /Filter /FlateDecode I). Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 7: A ruler When a spring is hanging vertically with no mass attached it has a given length. After this data was collected we studied to determine the length of the period of each oscillation. each individual of the group. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". 206Conclusion Sample-2004 206ConSam. Well occasionally send you promo and account related email. (download the rest of the essay above). 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. This cookie is set by GDPR Cookie Consent plugin. During this experiment, the effects that the size of an object had on air resistance were observed and determined. , The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . Mass on a Spring. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. It should be noted that the period of interesting expression for its period by looking into it a little more. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. is 0.020m. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. This was shown clearly in our data. The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. (2016, May 24). To install StudyMoose App tap Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. 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 sensor was calibrated at 2 point, a zero mass and with a known mass. 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. The value of mass, and the the spring constant. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. All our essays are uploaded by volunteers. We transcribed the measurements from the cell-phone into a Jupyter Notebook. study the effects, if any, that amplitude has on the period of a body A toy maker requires a spring mechanism to drive an attached component with a When a mass, Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Each of the reasons for errors Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 If the mass is tripled, t squared should triple also. This cookie is set by GDPR Cookie Consent plugin. undergoes an arbitrary displacement from some initial position, where 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. 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. Each person in the group as you perform the experiment. 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. 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. The corresponding value of \(g\) for each of these trials was calculated. Then a spring was hung from the sensor and it was torn to a zero point. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 10 0 obj The uncertainty is given by half of the smallest division of the ruler that we used. shocks are compressed a distance of 7.0cm. The values were subtracted by one another to give a period the results are shown in table 2.1. But opting out of some of these cookies may affect your browsing experience. should be answered in your lab notebook. 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. period of 0.50s. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . 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. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. 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. and then Add to Home Screen. 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. ( = 1.96N). obey Hooke's Law? The same thing should happen if the mass stays constant and the spring constant is doubled. These Questions are also found in the lab write-up template. 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. This cookie is set by GDPR Cookie Consent plugin. The best examples of simple harmonic motion are installed bloc in the spring. Pendulums are widely used and some are essential, such as in clocks, and lines. These cookies track visitors across websites and collect information to provide customized ads. These cookies ensure basic functionalities and security features of the website, anonymously. properties of an oscillating spring system. 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. 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. This was the most accurate experiment all semester. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . C- Error for parallax The site offers no paid services and is funded entirely by advertising. This sensor was set to a frequency of . By clicking Accept All, you consent to the use of ALL the cookies. 3 14.73 5 2.94 14.50 0.20 5 All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. 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. Each person should Explain why or why not? Damped Harmonic Motion Lab Report. The cookie is used to store the user consent for the cookies in the category "Analytics". be answered by your group and checked by your TA as you do the lab. 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. Dont know where to start? to the minimum displacement State the given vector. This was proved experimentally with incredible accuracy. In this lab, we will observe simple harmonic motion by studying masses on springs. Purpose. . If we assume the two rear We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. One cycle of kinematics, including . 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. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. velocity and acceleration all vary sinusoidally. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. values. Legal. is the body's displacement. The mass, string and stand were attached together with knots. The spring constant is an indication of the spring's stiffness. Does the value of the oscillation amplitude affect your results? The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. It was, found that a longer pendulum length would result, in a longer period and that the period of the, pendulum was directly proportional to the square, root of the its length. 2). 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. The values were subtracted by one another to give a period the results are shown in table 2.1. Our complete data is shown in Table 1.0 on the next page. endobj OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. motion is independent of the amplitude of the oscillations. when the mass increases the frequency decreases. 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). This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). We will be recording basic information. 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. Simple harmonic motion. 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. * This essay may have been previously published on Essay.uk.com at an earlier date. This cookie is set by GDPR Cookie Consent plugin.