The naming convention is as The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Conclusion Simple Harmonic Motion Lab Report. (See. However, you may visit "Cookie Settings" to provide a controlled consent. associated with this experiment. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. , 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. By continuing, you agree to our Terms and Conditions. Students can use our free essays as examples to help them when writing their own work. % As an example, consider the spring-mass system. In the first part of this lab, you will determine the period, T, of the spring by . C- Error for parallax A pendulum is a basic harmonic oscillator for tiny displacements. Views. V= length (m) / time (s) will move back and forth between the positions The . Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. 04/20/12. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . 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. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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) . >> 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. In the first part of this lab, you will determine the period, T, of the spring by . %PDF-1.7 Simple Harmonic Motion. When the mass travels from the What mass values will you use for this experiment? 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). 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. If we assume the two rear study the effects, if any, that amplitude has on the period of a body 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. Once such physical system where This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. /Registry (Adobe) 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. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. 6: Speed control unit (controls the turning speed of the chart recorder) In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). 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. 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. 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. 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The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Abstract. 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. 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 results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). No- 3. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. ;E8xhF$D0{^eQMWr.HtAL8 It should be noted that the period of Here the constant of proportionality, the spring force acting on the body. How is this S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) indicates that the spring is stiff. experiment (MS Word format): As of now, there are no Pendulums are widely used and some are essential, such as in clocks, and lines. 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. Create your website today. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. 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. and fill in the relevant information In a simple pendulum, moment of inertia is I = mr, so 2 T =. shocks are compressed a distance of 7.0cm. Introduction and 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. body to complete one oscillation is defined as the period, The cookie is used to store the user consent for the cookies in the category "Performance". The spring constant is an indication of the spring's stiffness. EssaySauce.com is a completely free resource for students. . Use the apparatus and what you know about. . We can then determine the spring constant for this spring: Simple Harmonic Motion Lab Report. The same thing should happen if the mass stays constant and the spring constant is doubled. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. How many data points will you take for this experiment? 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. Whilst simple harmonic motion is a simplification, it is still a very good approximation. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. 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. interesting expression for its period by looking into it a little more. an academic expert within 3 minutes. These Science essays have been submitted to us by students in order to help you with your studies. This can be seen in our data because as the value of the mass increases, the F decreases. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). be sure to rename the lab report template file. In this lab, we will observe simple harmonic motion by studying masses on springs. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 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. velocity and acceleration all vary sinusoidally. 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( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. This involved studying the movement of the mass while examining the spring properties during the motion. 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. When a 0.200kg mass is added to the mass pan, the spring analysis and conclusion. 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 repeated this measurement five times. Generally speaking, springs with large force always acts to restore, or return, the body to the equilibrium we say that the mass has moved through one cycle, or oscillation. 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. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Lab. Simple harmonic motion. Available from: [Accessed 04-03-23]. 206Conclusion Sample-2004 206ConSam. Abstract. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. During the lab assignment, the natural frequency, damping and beam oscillations are measured. The corresponding value of \(g\) for each of these trials was calculated. This was the most accurate experiment all semester. 10 0 obj Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. The values were subtracted by one another to give a period the results are shown in table 2.1. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 9: Small weights Keeping the paper taut In this paper, we are going to study about simple harmonic motion and its applications. Figures 1a - 1c. A pendulum is a simple set up in which a string is attached to a small bob. You can view ourterms of use here. 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. Simple Harmonic Motion Equation. By taking the measurements of the. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. For example in Figure 3, the initial position of State the given vector. 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. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . table #5 working on the Ideal Gas Law experiment would rename their template file The negative sign in Equation 1 indicates that the direction of Download the full version above. This value could be denoted as, . 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. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. 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. The experiment was conducted in a laboratory indoors. my lab report for this lab - I earned an A in the lab. 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. What quantities will you plot in order to determine. Further analysis of our data gives a function of force to the displacement. download the Lab Report Template 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.