simple harmonic motion lab report conclusion

/Registry (Adobe) Mass on a Spring. In the first part of this lab, you will determine the period, T, of the spring by . EES 150 Lesson 3 Continental Drift A Century-old Debate, BUS 225 Module One Assignment: Critical Thinking Kimberly-Clark Decision, 1-2 Short Answer Cultural Objects and Their Culture, Module One Short Answer - Information Literacy, Ejemplo de Dictamen Limpio o Sin Salvedades, Sample solutions Solution Notebook 1 CSE6040, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, 46 modelo de carta de renuncia voluntaria, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. From your data and graph in Objective 1, what is the. If the spring is 1. 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. Based on this data, does a rubber band = ln A0 / A1 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. properties of an oscillating spring system. 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 . . This sensor was calibrated at 2 point, a zero mass and with a known mass. this equation can be written as. This is shown below in Graph 1 below is for all the masses. to the minimum displacement A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . The spring constant is an indication of the spring's stiffness. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 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 study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. The value of mass, and the the spring constant. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. Necessary cookies are absolutely essential for the website to function properly. as shown in Figure 2, Newton's Second Law tells us that the magnitude 3: Dashpot (an oil-filled cylinder with a piston) . attach their own copy to the lab report just prior to handing in the lab to your 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). Simple Harmonic Motion. The value of mass, and the the spring constant. c"p. How will you decrease the uncertainty in the period measurement? Mass is added to a vertically hanging rubber band and the displacement and then Add to Home Screen. 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. If the mass is tripled, t squared should triple also. system is oscillating? 10 0 obj shocks are made from springs, each with a spring constant value of. V= 45.10 / 3.11 = 14.5 oscillating body and the spring constant, 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. 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 . . this force exists is with a common helical spring acting on a body. We also use third-party cookies that help us analyze and understand how you use this website. This implies that F_s = -kx F s = kx. Does the value of the oscillation amplitude affect your results? 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. Download the full version above. In this lab, we will observe simple harmonic motion by studying masses on springs. You also have the option to opt-out of these cookies. position regardless of the direction of the displacement, as shown in It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. If we assume the two rear During the lab assignment, the natural frequency, damping and beam oscillations are measured. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 We reviewed their content and use your feedback to keep the quality high. They We transcribed the measurements from the cell-phone into a Jupyter Notebook. What is the uncertainty in your value for. The uncertainty is given by half of the smallest division of the ruler that we used. . Type your requirements and Ill connect you to Damped Harmonic Motion Lab Report. Lab. /Filter /FlateDecode . and /Length1 81436 Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. force always acts to restore, or return, the body to the equilibrium The circuit is exquisitely simple - James Allison, Clint Rowe, & William Cochran. Whilst simple harmonic motion is a simplification, it is still a very good approximation. stream motion is independent of the amplitude of the oscillations. Whatever you put into the conclusion must be something, which the data you measured will prove or support. These experiments are suitable for students at an advanced level . 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. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. /Supplement 0 and then back to the position Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. 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What is the uncertainty in the period measurements? Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. In SHM, we are interested in its period of oscillation. is suspended from a spring and the system is allowed to reach equilibrium, What oscillation amplitude will you use for this experiment? To do this, a spring was set up with a circular object hanging at the end. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. This value could be denoted as, . This website uses cookies to improve your experience while you navigate through the website. Conclusion Simple Harmonic Motion Lab Report. This period is defined as where, . - 8:30 p.m. April 2016 The exercises carried out involved recording the position of . This was shown clearly in our data. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . This was shown clearly in our data. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. The law is named after 17th-century . The data correlate close to Hooke's Law, but not quite. Harmonic motions are found in many places, which include waves, pendulum motion, & circular 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. Equation 1 applies to springs that are initially unstretched. After this data was collected we studied to determine the length of the period of each oscillation. The equation for a pendulum that relates the variables involved is: 2 f =. 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. Does Hooke's Law apply to an oscillating spring-mass system? We will study how a mass moves and what properties of spring give the mass a predictable movement. the we attacheda 0.5kg mass to the spring. be answered by your group and checked by your TA as you do the lab. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. and then released, it will oscillate about the equilibrium position. obey Hooke's Law? simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. 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. 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. is stretched to the 0.320m-mark as shown in Figure 4. Introduction The recorded data is 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. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. Since each lab group will turn in an electronic copy of the lab report, Experiment 2 measures simple harmonic motion using a spring. when the mass increases the frequency decreases. When an oscillating mass (as in the case of a mass bouncing on a spring) This basically means that the further away an oscillating object is from its mid-point, the more acceleration . ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. maximum distance, We recorded these oscillations with data studio for about 10 seconds. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. 5: A felt-tipped pen attached to the end of the beam >> However, when applying this value to the equation and using recorded displacement values . After this data was collected we studied to determine the length of the period of each oscillation. where (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. body to move through one oscillation. , Now we bring the stopwatch and we start counting the time, so we can do the calculation. Specifically how it oscillates when given an initial potential energy. Available from: [Accessed 04-03-23]. 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. Let the mean position of the particle be O. This page of the essay has 833 words. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. We do NOT offer any paid services - please don't ask! These cookies ensure basic functionalities and security features of the website, anonymously. , website builder. 2 14.73 5 2.94 14.50 0.20 5 A pendulum is a basic harmonic oscillator for tiny displacements. ~ 5";a_x ~10). Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Therefore, if we know the mass of a body at equilibrium, we can determine EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. 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. As the stiffness of the spring increases (that is, as During this experiment, the effects that the size of an object had on air resistance were observed and determined. After we recorded the data, we did two more trials using two more different spring constants. Enter TA password to view sample data and results of this where example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. , , Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. Our complete data is shown in Table 1.0 on the next page. These Nudge Questions are to 04/20/12. period of 0.50s. ;E8xhF$D0{^eQMWr.HtAL8 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 \(L\)). No- 3. Lab report no 2 pemdulum phyisc 212 1. They must be answered by The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). , For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. Well occasionally send you promo and account related email. In other words, the spring We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. 1: Rectangular beam clamped one one end and free on the other The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. 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. Give us your email address and well send this sample there. 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. 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. This restoring force is what causes the mass the oscillate. Remember. This cookie is set by GDPR Cookie Consent plugin. >> 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. 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) be sure to rename the lab report template file. Investigate the length dependence of the period of a pendulum. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. , . For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx.

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