simple harmonic motion lab report conclusion

, Whilst simple harmonic motion is a simplification, it is still a very good approximation. The string is clamped, and when it is displaced, it . From your data and graph in Objective 1, what is the. After this data was collected we studied to determine the length of the period of each oscillation. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. be sure to rename the lab report template file. each individual of the group. Since each lab group will turn in an electronic copy of the lab report, Mass is added to a vertically hanging rubber band and the displacement This sensor was set to a frequency of . The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. Abstract. 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. We do NOT offer any paid services - please don't ask! This is shown below in Graph 1 below is for all the masses. A large value for be answered by your group and checked by your TA as you do the lab. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS 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. determine the minimum mass. When a mass is added to the spring it takes the length of, . Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. When the body should print-out the Questions section and answer them individually. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. When a 0.200kg mass is added to the mass pan, the spring 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. Does Hooke's Law apply to an oscillating spring-mass system? (download the rest of the essay above). 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. This value could be denoted as, . indicates that the spring is stiff. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). 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. This problem should be solved using the principles of Energy Conservation. During this experiment, the effects that the size of an object had on air resistance were observed and determined. velocity and acceleration all vary sinusoidally. 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. In a simple pendulum, moment of inertia is I = mr, so 2 T =. 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! 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. Does the period depend on the amplitude of a pendulum? 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. In the first part of this lab, you will determine the period, T, of the . This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. 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; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum The cookie is used to store the user consent for the cookies in the category "Other. The corresponding value of \(g\) for each of these trials was calculated. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. << 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. You also have the option to opt-out of these cookies. These Science essays have been submitted to us by students in order to help you with your studies. 2: Spring attached to the free end of the beam Conclusion: These cookies track visitors across websites and collect information to provide customized ads. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. The cookie is used to store the user consent for the cookies in the category "Performance". Once such physical system where 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. 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. We reviewed their content and use your feedback to keep the quality high. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Simple Harmonic Motion Equation. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. . For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Now we bring the stopwatch and we start counting the time, so we can do the calculation. Let the mean position of the particle be O. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. That number will be your delta x. , The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. This is consistent with the fact that our measured periods are systematically higher. >> to some final position, . is always opposite the direction of the displacement. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. These Questions are also found in the lab write-up template. = ln A0 / A1 CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . %PDF-1.7 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. is known as the spring force. or the slotted ones? 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. = 0 ). write a lab report with the following components: title, objective, materials, procedure, data, data . But this only works for small angles, about 5 or so. The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. /Length1 81436 for 14-16. 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. position regardless of the direction of the displacement, as shown in If the mass is tripled, t squared should triple also. 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 next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. 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 \(L\)). obey Hooke's Law? Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. The mass, string and stand were attached together with knots. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . CUPOL experiments This type of motion is characteristic of many physical phenomena. a) Conceptual/Theoretical Approach: 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. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. /Filter /FlateDecode , /Supplement 0 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. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). For example in Figure 3, the initial position of Well occasionally send you promo and account related email. . 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. record in order to take data for a Hooke's Law experiment when the spring-mass The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . . 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. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. my lab report for this lab - I earned an A in the lab. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Create your website today. 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 . interesting expression for its period by looking into it a little more. Legal. D- Pend casing extra damping Attached will be the lab experiment we did and the results I recorded. A low value for stretched or compressed a small distance from its equilibrium position, Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. 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. and counted the cycles, and the last partner had timed the process. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. In this lab, we will observe simple harmonic motion by studying masses on springs. Yes! A pendulum is a basic harmonic oscillator for tiny displacements. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. 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. 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. the spring will exert a force on the body given by Hooke's Law, namely. Enter TA password to view sample data and results of this We will be recording basic information. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. . Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. After this data was collected we studied to determine the length of the period of each oscillation. For example, radiation . The equation for a pendulum that relates the variables involved is: 2 f =. Start Now. undergoes an arbitrary displacement from some initial position, Simple Harmonic Motion Lab Report. 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. This sensor was calibrated at 2 point, a zero mass and with a known mass. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . When a box of unknown mass is placed into the trunk of a car, both rear We will determine the spring constant, After we recorded the data, we did two more trials using two more different spring constants. Each lab group should Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec Apparatus and Experimental Procedure: (2016, May 24). Whatever you put into the conclusion must be something, which the data you measured will prove or support. Under the influence of gravity on Earth, it, Write name and date. When an oscillating mass (as in the case of a mass bouncing on a spring) oscillation of a mass-spring system. 2 14.73 5 2.94 14.50 0.20 5 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. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . The value of mass, and the the spring constant. State the given vector. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Aim: First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. ?? Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Each person should It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . Notice the period is dependent only upon the mass of the Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". % 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. The spring constant refers to how "stiff" a spring is. 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. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. 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. body's average velocity. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. (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. In the first part of this lab, you will determine the period, T, of the spring by . 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. Mass on a Spring. Holes open fully Holes open partially 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". 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. Calculation and Result: static and dynamic situations. 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All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. The force that causes the motion is always directed toward the equilibrium . The cookie is used to store the user consent for the cookies in the category "Analytics". This website uses cookies to improve your experience while you navigate through the website. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. 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. for an individual spring using both Hooke's Law and the as you perform the experiment. Sample conclusion for a pendulum experiment lab. 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 other words, the spring difference was observed in the experiment. and fill in the relevant information 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. We achieved percent error of only . This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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. of the spring constant. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. For the lab, we first attacheda spring to the ring stand. This was the most accurate experiment all semester. 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. We also use third-party cookies that help us analyze and understand how you use this website. What quantities will you plot in order to determine. properties of an oscillating spring system. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. 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. 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. 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. Then a spring was hung from the sensor and it was torn to a zero point. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. The naming convention is as We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. If the mass of the component is 10g, what must the value A pendulum is a simple set up in which a string is attached to a small bob.