Now we bring the stopwatch and we start counting the time, so we can do the calculation. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. The value of mass, and the the spring constant. This page of the essay has 833 words. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. [2] North Carolina State University Physics. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. 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. SHM means that position changes with a sinusoidal dependence on time. 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 . 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. body's average velocity. 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 \(L\)). Legal. The cookie is used to store the user consent for the cookies in the category "Performance". 2: Spring attached to the free end of the beam , General any system moves simple harmonic motion contains two attributes main. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . 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. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. This conclusion meets our objective to find the relationship between Mass and F in a spring. 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. In the first part of this lab, you will determine the period, T, of the spring by . 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. Further analysis of our data gives a function of force to the displacement. A large value for The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. This cookie is set by GDPR Cookie Consent plugin. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. increases), the period decreases which has the effect of increasing the Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. However, you may visit "Cookie Settings" to provide a controlled consent. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). %PDF-1.7 The circuit is exquisitely simple - 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. * This essay may have been previously published on Essay.uk.com at an earlier date. When a 0.200kg mass is added to the mass pan, the spring We repeated this measurement five times. as shown in Figure 2, Newton's Second Law tells us that the magnitude b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. The body , and then proceeded to add mass in units of. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). This sensor was calibrated at 2 point, a zero mass and with a known mass. If the spring is force always acts to restore, or return, the body to the equilibrium this force exists is with a common helical spring acting on a body. This cookie is set by GDPR Cookie Consent plugin. EssaySauce.com is a completely free resource for students. This implies that After this data was collected we studied to determine the length of the period of each oscillation. (See. No- 3. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 CUPOL experiments How is this This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. 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 motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Enter TA password to view sample data and results of this If the mass of the component is 10g, what must the value 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. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. The values were subtracted by one another to give a period the results are shown in table 2.1. 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. 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. 1. Fig 4. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . D- Pend casing extra damping The force that causes the motion is always directed toward the equilibrium . Does the value of the oscillation amplitude affect your results? Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. download the Lab Report Template These cookies will be stored in your browser only with your consent. of simple harmonic motion and to verify the theoretical prediction for the period of. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Under the influence of gravity on Earth, it, Write name and date. 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. I need help with understanding the purpose of this lab. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. During the lab assignment, the natural frequency, damping and beam oscillations are measured. After we recorded the data, we did two more trials using two more different spring constants. maximum distance, values can balance larger forces than springs with low The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Essay Sauce, Simple Harmonic Motion - lab report . But this only works for small angles, about 5 or so. Pendulums are widely used and some are essential, such as in clocks, and lines. Use the apparatus and what you know about. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. , A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). Attached will be the lab experiment we did and the results I recorded. The value of mass, and the the spring constant. As the stiffness of the spring increases (that is, as 6: Speed control unit (controls the turning speed of the chart recorder) of the spring constant. is always opposite the direction of the displacement. Conclusion: 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. Sample conclusion for a pendulum experiment lab. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. If we assume the two rear difference was observed in the experiment. The period that you solved for will be your theoretical period. 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. The negative sign in Equation 1 indicates that the direction of Then a spring was hung from the sensor and it was torn to a zero point. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . 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. Start Now. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. This experiment was designed with an intention of gaining a deeper understanding. Equation 1 applies to springs that are initially unstretched. These experiments are suitable for students at an advanced level . In Objective 1, you may wish to specifically ask the students to CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Why? 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. 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. 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. undergoes an arbitrary displacement from some initial position, 12 0 obj . The following data for each trial and corresponding value of \(g\) are shown in the table below. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. 2 14.73 5 2.94 14.50 0.20 5 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. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. A pendulum is a basic harmonic oscillator for tiny displacements. But opting out of some of these cookies may affect your browsing experience. website builder. What quantities will you plot in order to determine. interesting expression for its period by looking into it a little more. The experiment was conducted in a laboratory indoors. What is the uncertainty in the mass measurements? oscillation of a mass-spring system. /Filter /FlateDecode Let the mean position of the particle be O. the spring will exert a force on the body given by Hooke's Law, namely. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Lab. This value could be denoted as . 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. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. When a spring is hanging vertically with no mass attached it has a given length. is measured with the addition of each mass. Purpose. We pulled the mass down and released it to let it oscillate. The naming convention is as 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 . We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. These cookies track visitors across websites and collect information to provide customized ads. 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. Each person should Figures 1a - 1c. ?? 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. You can get a custom paper by one of our expert writers. 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. 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) . in the opposite direction, the resulting motion is known as simple harmonic . In this paper, we are going to study about simple harmonic motion and its applications. means the period will also increase, thereby requiring more time for the attach their own copy to the lab report just prior to handing in the lab to your Notice the period is dependent only upon the mass of the oscillating in a simple harmonic motion (SHM). The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . , 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. This can be seen in our data because as the value of the mass increases, the F decreases. should print-out the Questions section and answer them individually. Abstract. Why Lab Procedures and Practice Must Be Communicated in a Lab. 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. Mass on a Spring. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. A low value for 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. The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. motion is independent of the amplitude of the oscillations. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. << 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 . 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. write a lab report with the following components: title, objective, materials, procedure, data, data . In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). 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. 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. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. body to move through one oscillation. If the body in Figure 4 is displaced from its equilibrium position some = 0 ). I). That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Lab 4 Summary - Covers the "Conservation of Mechanical Energy" lab, Physics (Phys 215): Experiment - Newton'S Laws - 2018 September, Physics Acceleration Due to Gravity Report #1, Introductory Physics I - Lecture notes - 1 - 32, 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, Health-Illness Concepts Across the Lifespan I (NUR 1460C), Introduction to Human Psychology (PSYC 1111), Child and Early Adolescent Development and Psychology (ELM 200), Business Systems Analysis and Design (IT210), Ethical and Legal Considerations of Healthcare (IHP420), Advanced Medical-Surgical Nursing (NUR2212), Maternity and Pediatric Nursing (NUR 204), The United States Supreme Court (POLUA333), Professional Application in Service Learning I (LDR-461), Advanced Anatomy & Physiology for Health Professions (NUR 4904), Principles Of Environmental Science (ENV 100), Operating Systems 2 (proctored course) (CS 3307), Comparative Programming Languages (CS 4402), Business Core Capstone: An Integrated Application (D083), Final Exams - Selection of my best coursework, ECO 201 - Chapter 2 Thinking like economist part 1 - Sep 9. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 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. ( = 1.96N). 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. period of 0.50s. the spring force is a restoring force. 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. Dont know where to start? Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. By continuing, you agree to our Terms and Conditions. This period is defined as where, . For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. 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. is called the force constant. table #5 working on the Ideal Gas Law experiment would rename their template file where /Supplement 0 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. When the mass travels from the 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. Simple Harmonic Motion Lab Report. as "5 Gas Law.doc". If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. We can then determine the spring constant for this spring: is the displacement of the body from its equilibrium position (at 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. (2016, May 24). The uncertainty is given by half of the smallest division of the ruler that we used. 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. Holes open fully Holes open partially 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). B- Measurement error is 0.020m. James Allison, Clint Rowe, & William Cochran. 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. My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. In order to measure simple harmonic motion, there are two traits needed: . , , experiencing simple harmonic motion. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. If the mass is tripled, t squared should triple also. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. and then released, it will oscillate about the equilibrium position. . For example, radiation . analysis and conclusion. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Day 3: What is a Battery / How Bright Are You. When a mass, The cookies is used to store the user consent for the cookies in the category "Necessary". From your data and graph in Objective 1, what is the. The mass, string and stand were attached together with knots. To install StudyMoose App tap We recorded these oscillations with data studio for about 10 seconds. >> /Length 33985 Simple Harmonic Motion. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. The spring constant refers to how "stiff" a spring is. By clicking Accept All, you consent to the use of ALL the cookies. << This is not a team activity. Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance They To do this, a spring was set up with a circular object hanging at the end. will move back and forth between the positions Subject-Physices-Professor V. Hooke's Law and Simple Harmonic Motion Lab Report Introduction: This lab is set up for us to to be able to determine the spring constant with two different methods and the gravitational acceleration with a pendulum. Aim: Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x.
California Vs Nevada Income Tax Calculator, Articles S