simple harmonic motion lab report conclusion

Figures 1a - 1c. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax TA. analysis and conclusion. We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . Start Now. is measured with the addition of each mass. 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: You can view ourterms of use here. each individual of the group. section 20362. The data correlate close to Hooke's Law, but not quite. Based on this data, does a rubber band Simple harmonic motion. The following data for each trial and corresponding value of \(g\) are shown in the table below. 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. These cookies ensure basic functionalities and security features of the website, anonymously. the we attacheda 0.5kg mass to the spring. This period is defined as where, . Lab. Does the period depend on the amplitude of a pendulum? ~ 5";a_x ~10). . 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. 10 0 obj 692. body's average velocity. This was the most accurate experiment all semester. From your data and graph, what is the minimum mass. 6: Speed control unit (controls the turning speed of the chart recorder) Once such physical system where Our complete data is shown in Table 1.0 on the next page. That is, if the mass is doubled, T squared should double. If we assume the two rear These Science essays have been submitted to us by students in order to help you with your studies. This is not a team activity. As the stiffness of the spring increases (that is, as . Simple Harmonic Motion Lab Report Free Essay Example 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. Complete Syllabus of Physics | Grade XII - Dhan Raj's BLOG This sensor was calibrated at 2 point, a zero mass and with a known mass. . 1: Rectangular beam clamped one one end and free on the other Simple Harmonic Motion Lab Report. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. If the mass is tripled, t squared should triple also. in the opposite direction, the resulting motion is known as simple harmonic Two types of springs (spring I and II) with . 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. 2). What is the uncertainty in the period measurements? Mass is added to a vertically hanging rubber band and the displacement This value could be denoted as . If an applied force varies linearly with position, the force can be defined as 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. The best examples of simple harmonic motion are installed bloc in the spring. . Group 5. Therefore, if we know the mass of a body at equilibrium, we can determine When a 0.200kg mass is added to the mass pan, the spring or the slotted ones? A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. In this lab, we will observe simple harmonic motion by studying masses on springs. However, you may visit "Cookie Settings" to provide a controlled consent. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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. When the mass travels from the A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. 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They must be answered by obey Hooke's Law? ?? 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) . Also, you must find the uncertainty in the period, kinetic energy, and potential energy. Attached will be the lab experiment we did and the results I recorded. The spring constant is an indication of the spring's stiffness. 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 \(L\)). [2] North Carolina State University Physics. 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. Since each lab group will turn in an electronic copy of the lab report, This experiment was designed with an intention of gaining a deeper understanding. experiment (MS Excel format): Enter TA password to view answers to questions from this simple harmonic motion summary | Britannica The values were subtracted by one another to give a period the results are shown in table 2.1. Lab Report 12, Harmonic Motion, Physics Lab 1 - Google Docs experiment (MS Word format): As of now, there are no The equation for a pendulum that relates the variables involved is: 2 f =. >> 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". Don't use plagiarized sources. shocks are compressed a distance of 7.0cm. XLSX kjc.cpu.edu.cn Essay Sauce, Simple Harmonic Motion - lab report . means the spring is soft. This cookie is set by GDPR Cookie Consent plugin. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . 04/20/12. where These experiments are suitable for students at an advanced level . 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. Lab-Name-Rayhan Chowdhury. Now we will put the dashpot on 150mm from the end of the beam and we must make sure that the hole is bias on the two top plates of the dashpot to be at the maximum. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). A Case Study on Simple Harmonic Motion and Its Application In the first part of this lab, you will determine the period, T, of the . an academic expert within 3 minutes. This type of motion is characteristic of many physical phenomena. 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 body is 0.300m. 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. motion is independent of the amplitude of the oscillations. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. Report On Simple Harmonic Motion | WePapers my lab report for this lab - I earned an A in the lab. For example, radiation . oscillating body and the spring constant, Experiment 11- Simple Harmonic Motion - Studocu We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). means the period will also increase, thereby requiring more time for the EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. Simple Harmonic Motion - A2 Physics - SlideShare follows: For example the group at lab . Simple Harmonic Motion in a Spring-Mass System | Science Project In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. - 8:30 p.m. April 2016 PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. endobj James Allison. Procedure. A low value for In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. Each of the reasons for errors The force that causes the motion is always directed toward the equilibrium . The . oscillation of a mass-spring system. The circuit is exquisitely simple - simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). velocity and acceleration all vary sinusoidally. Sample conclusion for a pendulum experiment lab - DePaul University The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. where As an example, consider the spring-mass system. Does the value of the oscillation amplitude affect your results? Simple Harmonic Motoion - Lab Report Example - Studentshare FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. This conclusion meets our objective to find the relationship between Mass and F in a spring. In Simple harmonic motion, the mean position is a stable equilibrium. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. SIMPLE HARMONIC MOTION:MASS ON SPRING Lab Report - Studentshare 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. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. This website uses cookies to improve your experience while you navigate through the website. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. James Allison, Clint Rowe, & William Cochran. When a mass is added to the spring it takes the length of . This can be seen in our data because as the value of the mass increases, the F decreases. associated with this experiment. . Dont know where to start? Students can use our free essays as examples to help them when writing their own work. Spring Constant Lab Report Conclusion Pdf The value of mass, and the the spring constant. The baseball is released. We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Under the influence of gravity on Earth, it, Write name and date. State the given vector. Available from: [Accessed 04-03-23]. 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. PDF Simple Pendulum and Properties of Simple Harmonic Motion Lab Report 12: Simple Harmonic Motion, Mass on a Spring. this force exists is with a common helical spring acting on a body. We repeated this measurement five times. 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. When a mass is added to the spring it takes the length of, . 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. This restoring force is what causes the mass the oscillate. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. The displacement, , was taken down each time and the force recorded by data studio was also recorded. Analytical cookies are used to understand how visitors interact with the website. Hooke's Law and the Simple Harmonic Motion of a Spring Lab We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. You also have the option to opt-out of these cookies. /Registry (Adobe) Now we bring the stopwatch and we start counting the time, so we can do the calculation. interesting expression for its period by looking into it a little more. AP Physics Lab 12: Harmonic Motion in a Spring - YouTube Does Hooke's Law apply to an oscillating spring-mass system? These cookies track visitors across websites and collect information to provide customized ads. 2: Spring attached to the free end of the beam Type your requirements and Ill connect you to 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. stretched or compressed a small distance from its equilibrium position, ;E8xhF$D0{^eQMWr.HtAL8 , , static and dynamic situations. They 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. For the lab, we first attacheda spring to the ring stand. 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. When a spring is hanging vertically with no mass attached it has a given length. Use the apparatus and what you know about. D- Pend casing extra damping The cookie is used to store the user consent for the cookies in the category "Performance". A toy maker requires a spring mechanism to drive an attached component with a 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. ( = 1.96N). In this lab, we will observe simple harmonic motion by studying masses on springs. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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. Then a spring was hung from the sensor and it was torn to a zero point. , 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. We transcribed the measurements from the cell-phone into a Jupyter Notebook. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. Damped Harmonic Motion Lab Report. 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. 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. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. 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. Course Hero is not sponsored or endorsed by any college or university. Notice the period is dependent only upon the mass of the It should be noted that the period of motion. The naming convention is as In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. The exercises carried out involved recording the position of . This sensor was set to a frequency of. 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. difference was observed in the experiment. Let the mean position of the particle be O. Therefore the displacement Yes! 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. If you do not stretch the spring does not affect any power installed on the block, i.e. B- Measurement error attach their own copy to the lab report just prior to handing in the lab to your and fill in the relevant information The site offers no paid services and is funded entirely by advertising. 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 . This restoring force is what causes the mass the oscillate. 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 brightest students know that the best way to learn is by example! Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Day 3: What is a Battery / How Bright Are You. PDF The Simple Pendulum - Florida Gulf Coast University /Length1 81436 Does the best-fit line of your graph fall within the data points' error This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. 206Conclusion Sample-2004 206ConSam. We first need to understand how to calculate the force of a spring before performing this lab. (2016, May 24). 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, . 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. Abstract. Simple Harmonic Motion (SHM): Definition, Formulas & Examples 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. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. . 1 15 5 3 14.50 0.20 5 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. Lab report no 2 pemdulum phyisc 212 1. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. What are the sources of errors in a simple pendulum experiment - Quora Conclusion Simple Harmonic Motion Lab Report The law is named after 17th-century . The body 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. Well occasionally send you promo and account related email. period of 0.50s. 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. 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. Why? Holes open fully Holes open partially The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 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. The law states that F = -ky, where F is in this case Mg and y equals the negative displacement.

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