simple harmonic motion lab report conclusion

Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. The cookie is used to store the user consent for the cookies in the category "Analytics". Lab-Name-Rayhan Chowdhury. We achieved percent error of only. c"p. Lab. This website uses cookies to improve your experience while you navigate through the website. 7: A ruler At t = 0, the particle is at point P (moving towards the right . Two types of springs (spring I and II) with . These Questions are also found in the lab write-up template. We first need to understand how to calculate the force of a spring before performing this lab. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. Based on this data, does a rubber band = ln A0 / A1 motion. Simple Harmonic Motion. The value of mass, and the the spring constant. V= 45.10 / 3.11 = 14.5 This implies that In this lab, we will observe simple harmonic motion by studying masses on springs. We will study how a mass moves and what properties of spring give the mass a predictable movement. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Mass is added to a vertically hanging rubber band and the displacement Dont know where to start? We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). Hooke's Law and the Simple Harmonic Motion of a Spring Lab /Length 33985 By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. 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Therefore: 2 T = where I = (1/3)mr, so 2 T = . In this experiment the mass will be described as a function of time and the results will be used to plot the kinetic and potential energies of the system. 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 \(L\)). 6: Speed control unit (controls the turning speed of the chart recorder) XLSX kjc.cpu.edu.cn We do NOT offer any paid services - please don't ask! Simple Harmonic Motoion - Lab Report Example - Studentshare . We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Conclusion Simple Harmonic Motion Lab Report The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . download the Lab Report Template A pendulum is a basic harmonic oscillator for tiny displacements. I). 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. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. PDF Lab 1: damped, driven harmonic oscillator 1 Introduction In a simple pendulum, moment of inertia is I = mr, so 2 T =. << Simple Harmonic Motion - GeeksforGeeks 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax for 14-16. obey Hooke's Law? 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. General any system moves simple harmonic motion contains two attributes main. 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. However, despite displaying clear terms on our sites, sometimes users scan work that is not their own and this can result in content being uploaded that should not have been. the body is 0.300m. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home Once such physical system where endobj 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. 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. Remember. The data correlate close to Hooke's Law, but not quite. Essay: Simple Harmonic Motion - lab report This sensor was set to a frequency of . Hooke's Law and Simple Harmonic Motion - WebAssign Group 5. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Experiment 2 measures simple harmonic motion using a spring. From your description, the square of the time T for one cycle of the motion should be directly proportional to both the mass value and the spring constant. They Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . = 0 ). 3 14.73 5 2.94 14.50 0.20 5 Lab Report 12, Harmonic Motion, Physics Lab 1 - Google Docs For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. 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. [2] North Carolina State University Physics. In order to measure simple harmonic motion, there are two traits needed: . Simple harmonic motion lab report conclusion. V Conclusion This 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. This type of motion is also called oscillation, motion. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Investigate the length dependence of the period of a pendulum. The spring constant is an indication of the spring's stiffness. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. James Allison. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . Analytical cookies are used to understand how visitors interact with the website. Download Free PDF. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. This was proved experimentally with incredible accuracy. Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. body's average velocity. << displayed in the table below. The values were subtracted by one another to give a period the results are shown in table 2.1. 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. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! system is oscillating? or the change in the position; or both? This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. For the lab, we first attacheda spring to the ring stand. Simple Harmonic Motion - A2 Physics - SlideShare This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. interesting expression for its period by looking into it a little more. to some final position, This experiment was designed with an intention of gaining a deeper understanding. 12 0 obj Whatever you put into the conclusion must be something, which the data you measured will prove or support. We transcribed the measurements from the cell-phone into a Jupyter Notebook. my lab report for this lab - I earned an A in the lab. 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. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Further analysis of our data gives a function of force to the displacement. . study the effects, if any, that amplitude has on the period of a body Whilst simple harmonic motion is a simplification, it is still a very good approximation. , this equation can be written as. Holes open fully Holes open partially . 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 values were subtracted by one another to give a period the results are shown in table 2.1. Simple harmonic motion. How many data points will you take for this experiment? If an applied force varies linearly with position, the force can be defined as We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. Legal. For example, radiation . Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). oscillating body and the spring constant, When the body Lab 3: Simple Harmonic motions Spring/Mass Systems Lab record in order to take data for a Hooke's Law experiment when the spring-mass difference was observed in the experiment. Give us your email address and well send this sample there. 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. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. Use the apparatus and what you know about. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. 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. 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. If we assume the two rear F_s = -kx F s = kx. follows: For example the group at lab 3: Dashpot (an oil-filled cylinder with a piston) motion is independent of the amplitude of the oscillations. 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. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Solved Hello,I am needing a little help improving my lab - Chegg Aim: When block away when the subject of stability or the balance spring will exert force to return it back to the original position. associated with this experiment. Well occasionally send you promo and account related email. indicates that the spring is stiff. The spring constant refers to how "stiff" a spring is. This cookie is set by GDPR Cookie Consent plugin. View PDF. By clicking Accept All, you consent to the use of ALL the cookies. (PDF) LAP REPORT: THE SIMPLE PENDULUM - Academia.edu is the known as the spring constant, and The site offers no paid services and is funded entirely by advertising. Why? Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. force always acts to restore, or return, the body to the equilibrium the spring will exert a force on the body given by Hooke's Law, namely. PDF Simple Harmonic Motion - United States Naval Academy Market-Research - A market research for Lemon Juice and Shake. It does not store any personal data. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. Calculation and Result: is stretched to the 0.320m-mark as shown in Figure 4. The exercises carried out involved recording the position of . The purpose of this lab experiment is to study the behavior of springs in The brightest students know that the best way to learn is by example! Lab report no 2 pemdulum phyisc 212 1. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. . 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. If the mass is tripled, t squared should triple also. Spring Constant Lab Report Conclusion Pdf Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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 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. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . Notice the period is dependent only upon the mass of the simple harmonic motion summary | Britannica 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. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. % This is not a team activity. Report On Simple Harmonic Motion | WePapers 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 . for an individual spring using both Hooke's Law and the At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. 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. /Ordering (Identity) The corresponding value of \(g\) for each of these trials was calculated. 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. V Conclusion This experiment for the observation of simple harmonic In order to conduct the experiment properly, must you consider the position TA. Report, Pages 2 (368 words) Views. We will determine the spring constant, James Allison, Clint Rowe, & William Cochran. When an oscillating mass (as in the case of a mass bouncing on a spring) Does the period depend on the amplitude of a pendulum? The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. What is the uncertainty in your value for. . The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. 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.