These experiments are suitable for students at an advanced level . and fill in the relevant information This was the most accurate experiment all semester. or the change in the position; or both? oscillating body and the spring constant, 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. Give us your email address and well send this sample there. the spring force is a restoring force. 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 . F_s = -kx F s = kx. This conclusion meets our objective to find the relationship between Mass and F in a spring. 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. . Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec Aim: . In this lab, we will observe simple harmonic motion by studying masses on springs. Calculation and Result: 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. interesting expression for its period by looking into it a little more. The cookies is used to store the user consent for the cookies in the category "Necessary". 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. These Questions are also found in the lab write-up template. Students looking for free, top-notch essay and term paper samples on various topics. One cycle of kinematics, including . study the effects, if any, that amplitude has on the period of a body difference was observed in the experiment. We will study how a mass moves and what properties of spring give the mass a predictable movement. This sensor was set to a frequency of. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. All our essays are uploaded by volunteers. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Simple Harmonic Motion Equation. and then back to the position position regardless of the direction of the displacement, as shown in 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. In a simple pendulum, moment of inertia is I = mr, so 2 T =. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . In this paper, we are going to study about simple harmonic motion and its applications. , The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Why? You can get a custom paper by one of our expert writers. 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 body is 0.300m. In other words, the spring James Allison. This page of the essay has 833 words. The uncertainty is given by half of the smallest division of the ruler that we used. Lab Report 12, Harmonic Motion, Physics Lab 1 - Google Docs It is also possible to A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. and is given by. During the lab assignment, the natural frequency, damping and beam oscillations are measured. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. % For example in Figure 3, the initial position of Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. each individual of the group. We transcribed the measurements from the cell-phone into a Jupyter Notebook. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. stretched or compressed a small distance from its equilibrium position, Simple harmonic motion lab report conclusion. Simple Harmonic Motion 27.8: Sample lab report (Measuring g using a pendulum) EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. determined? 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: , At t = 0, the particle is at point P (moving towards the right . Lab-Name-Rayhan Chowdhury. 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. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. 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. SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero These cookies ensure basic functionalities and security features of the website, anonymously. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. properties of an oscillating spring system. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. 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. 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. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. 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. D- Pend casing extra damping Question: Hello,I am needing a little help improving my lab report. For example, radiation . Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. a) Conceptual/Theoretical Approach: simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. Why Lab Procedures and Practice Must Be Communicated in a Lab. 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, . 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. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. However, you may visit "Cookie Settings" to provide a controlled consent. The purpose of this lab experiment is to study the behavior of springs in Conclusion Simple Harmonic Motion Lab Report Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. 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. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Necessary cookies are absolutely essential for the website to function properly. 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. No- 3. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com 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. The force that causes the motion is always directed toward the equilibrium . Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. In the first part of this lab, you will determine the period, T, of the . %PDF-1.7 Hooke's Law and Simple Harmonic Motion Adam Cap Legal. Enter TA password to view sample data and results of this All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. b) To investigate the relationship between lengths of the pendulum to the period of motion in 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). 10 0 obj velocity and acceleration all vary sinusoidally. This website uses cookies to improve your experience while you navigate through the website. A toy maker requires a spring mechanism to drive an attached component with a Simple Harmonic Motion of a Pendulum - UKEssays We pulled the mass down and released it to let it oscillate. 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. system is oscillating? The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) the system is balanced and stable. 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. If we assume the two rear 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. 2: Spring attached to the free end of the beam Simple Harmonic Motion - GeeksforGeeks From your data and graph, what is the minimum mass. Lab. If the mass of the component is 10g, what must the value EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Determination of Springs Constant by Hooke's Law and Simple Harmonic In order to minimize the uncertainty in the period, we measured the time for the pendulum to make \(20\) oscillations, and divided that time by \(20\). , Introduction 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 also use third-party cookies that help us analyze and understand how you use this website. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . experiences a force that is linearly proportional to its displacement but - 8:30 p.m. April 2016 , << Conclusion: 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. Fig 4. . F=1/T shocks are made from springs, each with a spring constant value of. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. After this data was collected we studied to determine the length of the period of each oscillation. Dont know where to start? Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. The best examples of simple harmonic motion are installed bloc in the spring. (download the rest of the essay above). These Nudge Questions are to EssaySauce.com is a completely free resource for students. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Abstract. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu The mass, string and stand were attached together with knots. Simple harmonic motion is governed by a restorative force. Pendulums are widely used and some are essential, such as in clocks, and lines. 12 0 obj We achieved percent error of only. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 When a mass, is stretched to the 0.320m-mark as shown in Figure 4. I need help with understanding the purpose of this lab. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Once such physical system where body's average velocity. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 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. The brightest students know that the best way to learn is by example! We recorded these oscillations with data studio for about 10 seconds. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. PDF Simple Pendulum and Properties of Simple Harmonic Motion From your data and graph in Objective 1, what is the. By clicking Accept All, you consent to the use of ALL the cookies. AP Physics Lab 12: Harmonic Motion in a Spring - YouTube When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Download the full version above. We will be recording basic information. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Two types of springs (spring I and II) with . We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Explain why or why not? is known as the spring force. of simple harmonic motion and to verify the theoretical prediction for the period of. as you perform the experiment. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end.
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