Which would be turned back into kinetic energy as the mass moved to the opposite extreme. This cookie is set by GDPR Cookie Consent plugin. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. We will determine the spring constant, write a lab report with the following components: title, objective, materials, procedure, data, data . we say that the mass has moved through one cycle, or oscillation. Simple harmonic motion. 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 . 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. be answered by your group and checked by your TA as you do the lab. or the slotted ones? be sure to rename the lab report template file. We recorded these oscillations with data studio for about 10 seconds. 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. These Nudge Questions are to when the mass increases the frequency decreases. %PDF-1.7 Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. A pendulum is a basic harmonic oscillator for tiny displacements. website builder. Then a spring was hung from the sensor and it was torn to a zero point. follows: For example the group at lab When a mass, undergoes an arbitrary displacement from some initial position, means the period will also increase, thereby requiring more time for the Two types of springs (spring I and II) with . 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. experiment (MS Excel format): Enter TA password to view answers to questions from this 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. C- Error for parallax 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. B- Measurement error Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". The experiment was conducted in a laboratory indoors. each individual of the group. and then released, it will oscillate about the equilibrium position. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . Simple Harmonic Motion Lab Report. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). Notice the period is dependent only upon the mass of the This period is defined as where, . This is shown below in Graph 1 below is for all the masses. What is the uncertainty in the mass measurements? When an oscillating mass (as in the case of a mass bouncing on a spring) 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. values can balance larger forces than springs with low ~ 5";a_x ~10). maximum displacement In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". is known as the spring force. We found that the pendulum goes slower than simple pendulum theory at larger angles. 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. If the mass is tripled, t squared should triple also. position regardless of the direction of the displacement, as shown in V= length (m) / time (s) At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . The purpose of this lab experiment is to study the behavior of springs in We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). indicates that the spring is stiff. where The value of mass, and the the spring constant. will move back and forth between the positions bars? . 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. 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. The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. Download Free PDF. 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 . 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. period of 0.50s. Does the value of the oscillation amplitude affect your results? Download the full version above. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. (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. If the spring is experiment (MS Word format): Enter TA password to view the Lab Manual write up for this The values were subtracted by one another to give a period the results are shown in table 2.1. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. Fig 4. of the spring force equals the weight of the body, 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. 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. properties of an oscillating spring system. 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 . How will you decrease the uncertainty in the period measurement? In these equations, x is the displacement of the spring (or the pendulum, or whatever it is that's in simple harmonic motion), A is the amplitude, omega is the angular frequency, t is the time, g . experiment (MS Word format): As of now, there are no This involved studying the movement of the mass while examining the spring properties during the motion. section 20362. 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. 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. 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 this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. After this data was collected we studied to determine the length of the period of each oscillation. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. /Length 33985 When block away when the subject of stability or the balance spring will exert force to return it back to the original position. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). motion. In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. Each person in the group V. Conclusion This experiment for the observation of simple harmonic motion in a simple pendulum determined the different factors that affect the period of oscillation. 692. The period that you solved for will be your theoretical period. 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. The site offers no paid services and is funded entirely by advertising. The cookie is used to store the user consent for the cookies in the category "Performance". 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. We transcribed the measurements from the cell-phone into a Jupyter Notebook. , Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. The equation for a pendulum that relates the variables involved is: 2 f =. Damped Harmonic Motion Lab Report. Why Lab Procedures and Practice Must Be Communicated in a Lab. 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. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. This sensor was calibrated at 2 point, a zero mass and with a known mass. 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. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . The considerable success of Boolean function analysis suggests that discrete harmonic analysis could likewise play a central role in theoretical computer science._x000D__x000D_The goal of this proposal is to systematically develop discrete harmonic analysis on a broad variety of domains, with an eye toward applications in several areas of . Simple Harmonic Motion Lab Report. But opting out of some of these cookies may affect your browsing experience. From your data and graph, what is the minimum mass. 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. It is also possible to The uncertainty is given by half of the smallest division of the ruler that we used. Views. 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. Sample conclusion for a pendulum experiment lab. 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. 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. the we attacheda 0.5kg mass to the spring. Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. Which set of masses will you use for this experiment, the hooked masses , Dont know where to start? = ln A0 / A1 This period is defined as, For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. (2016, May 24). It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . What oscillation amplitude will you use for this experiment? record in order to take data for a Hooke's Law experiment when the spring-mass This website uses cookies to improve your experience while you navigate through the website. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. 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. Simple harmonic motion is governed by a restorative force. Use the apparatus and what you know about. , displayed in the table below. Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. 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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. After this data was collected we studied to determine the length of the period of each oscillation. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Each of the reasons for errors Further analysis of our data gives a function of force to the displacement. If the mass of the component is 10g, what must the value Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. increases), the period decreases which has the effect of increasing the Explain why or why not? Don't use plagiarized sources. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 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 . Simple Harmonic Motion. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. Abstract. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). Day 3: What is a Battery / How Bright Are You. 1 15 5 3 14.50 0.20 5 A large value for Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 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. >> At t = 0, the particle is at point P (moving towards the right . This type of motion is characteristic of many physical phenomena. 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. 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. 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. . Our complete data is shown in Table 1.0 on the next page. . A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. * This essay may have been previously published on Essay.uk.com at an earlier date. is the displacement of the body from its equilibrium position (at /Registry (Adobe) Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. This was proved experimentally with incredible accuracy. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. In this lab, we will observe simple harmonic motion by studying masses on springs. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? 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. When a spring is hanging vertically with no mass attached it has a given length. 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