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This involved studying the movement of the mass while examining the spring properties during the motion. force always acts to restore, or return, the body to the equilibrium associated with this experiment. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. You can view ourterms of use here. 1 15 5 3 14.50 0.20 5 (2016, May 24). to some final position, 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. Each person in the group Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. To do this, a spring was set up with a circular object hanging at the end. 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). of the spring force equals the weight of the body, follows: For example the group at lab This implies that based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Each person should Laboratory The simple pendulunm Purpose: investigate how the period of a simple pendulum depends on length, mass and amplitude of the swing Theory: The simple pendulum (a small, heavy object on a string) will execute a simple harmonic motion for small angles of oscillation. They must be answered by - 8:30 p.m. April 2016 We recorded these oscillations with data studio for about 10 seconds. properties of an oscillating spring system. The site offers no paid services and is funded entirely by advertising. 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 \(20\). is measured with the addition of each mass. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. determine the minimum mass. When the body In this lab, we will observe simple harmonic motion by studying masses on springs. Simple Harmonic Motion Equation. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Calculation and Result: Download the full version above. This cookie is set by GDPR Cookie Consent plugin. when the mass increases the frequency decreases. 2: Spring attached to the free end of the beam 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. 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. 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. In Simple harmonic motion, the mean position is a stable equilibrium. 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 . Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. c"p. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). 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. as "5 Gas Law.doc". shocks are compressed a distance of 7.0cm. 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. 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. should be answered in your lab notebook. From your data and graph in Objective 1, what is the. Experiment 2 measures simple harmonic motion using a spring. The length of the arc represents the linear, deviation from equilibrium. Analytical cookies are used to understand how visitors interact with the website. This website uses cookies to improve your experience while you navigate through the website. 1: Rectangular beam clamped one one end and free on the other Generally speaking, springs with large Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. This problem should be solved using the principles of Energy Conservation. each individual of the group. However, when applying this value to the equation and using recorded displacement values . Under the influence of gravity on Earth, it, Write name and date. (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. ~ 5";a_x ~10). This sensor was calibrated at 2 point, a zero mass and with a known mass. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this values can balance larger forces than springs with low This experiment was designed with an intention of gaining a deeper understanding. experiencing simple harmonic motion. Each of the reasons for errors In SHM, we are interested in its period of oscillation. The period that you solved for will be your theoretical period. What mass values will you use for this experiment? Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 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. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. Mass on a Spring. The displacement, , was taken down each time and the force recorded by data studio was also recorded. After this data was collected we studied to determine the length of the period of each oscillation. Here the constant of proportionality, . As an example, consider the spring-mass system. The recorded data is The baseball is released. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Simple Harmonic Motion. 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. a) Conceptual/Theoretical Approach: The mass, string and stand were attached together with knots. /Ordering (Identity) the we attacheda 0.5kg mass to the spring. In this paper, we are going to study about simple harmonic motion and its applications. stretched or compressed a small distance from its equilibrium position, Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. , The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. If so, what equipment would you need and what parameters would you Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . or the slotted ones? The time required for the body's average velocity. F=1/T 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. 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. /Supplement 0 In Objective 1, you may wish to specifically ask the students to Find out what to do if this happens here. , and then proceeded to add mass in units of. State the given vector. We achieved percent error of only . We pulled the mass down and released it to let it oscillate. 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. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 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. Once such physical system where Therefore the displacement 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. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. This page of the essay has 833 words. Our complete data is shown in Table 1.0 on the next page. Market-Research - A market research for Lemon Juice and Shake. as shown in Figure 2, Newton's Second Law tells us that the magnitude download the Lab Report Template The cookies is used to store the user consent for the cookies in the category "Necessary". 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. When a mass is added to the spring it takes the length of, . After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . oscillation of a mass-spring system. Day 3: What is a Battery / How Bright Are You. * This essay may have been previously published on Essay.uk.com at an earlier date. 10 0 obj The spring force must balance the weight of the added mass We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. EssaySauce.com is a completely free resource for students. 692. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. 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. where and then back to the position In the first part of this lab, you will determine the period, T, of the . Course Hero is not sponsored or endorsed by any college or university. 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. If the mass of the component is 10g, what must the value We repeated this measurement five times. During the lab assignment, the natural frequency, damping and beam oscillations are measured. . In this lab, we will observe simple harmonic motion by studying masses on springs. my lab report for this lab - I earned an A in the lab. What is the uncertainty in the position measurements? What is the uncertainty in the period measurements? B- Measurement error 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 is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. This cookie is set by GDPR Cookie Consent plugin. will move back and forth between the positions (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . shocks are made from springs, each with a spring constant value of. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS system is oscillating? obey Hooke's Law? Aim: 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. or the change in the position; or both? This value could be denoted as, . Why? 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. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. The naming convention is as We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. This is shown below in Graph 1 below is for all the masses. Which set of masses will you use for this experiment, the hooked masses For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. The . The experiment was conducted in a laboratory indoors. 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. The following data for each trial and corresponding value of \(g\) are shown in the table below. Simple Harmonic Motion Lab Report. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). D- Pend casing extra damping Attached will be the lab experiment we did and the results I recorded. The circuit is exquisitely simple - the system is balanced and stable. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. experiment (MS Excel format): Enter TA password to view answers to questions from this << the spring force acting on the body. For example, radiation . Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Notice the period is dependent only upon the mass of the SHM means that position changes with a sinusoidal dependence on time. Our complete data is shown in Table 1.0 on the next page. This was shown clearly in our data. Purpose. Does the best-fit line of your graph fall within the data points' error 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. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. Simple Harmonic Motion Lab Report. Report, Pages 2 (368 words) Views. Conclusion: is suspended from a spring and the system is allowed to reach equilibrium, The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). We achieved percent error of only. 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. 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. 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. 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. We will be recording basic information. 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 . Available from: [Accessed 04-03-23]. 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. 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. 12 0 obj For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. The spring constant refers to how "stiff" a spring is. Two types of springs (spring I and II) with . 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. Start Now. motion is independent of the amplitude of the oscillations. Conclusion Simple Harmonic Motion Lab Report. Simple Harmonic Motion. A pendulum is a simple set up in which a string is attached to a small bob. Give us your email address and well send this sample there. This period is defined as where, . 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. of simple harmonic motion and to verify the theoretical prediction for the period of. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. . 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. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Enter TA password to view sample data and results of this Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). 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. We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. /Length 33985 We transcribed the measurements from the cell-phone into a Jupyter Notebook. Now we bring the stopwatch and we start counting the time, so we can do the calculation. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . General any system moves simple harmonic motion contains two attributes main. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". Therefore, if we know the mass of a body at equilibrium, we can determine One cycle of kinematics, including . the spring will exert a force on the body given by Hooke's Law, namely. Views. 8: A stopwatch We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. Fig 4. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. It is also possible to What was the goal of the simple pendulum experiment? If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). an academic expert within 3 minutes. This was the most accurate experiment all semester. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. 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. This value could be denoted as . When the mass travels from the The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. and then Add to Home Screen. These cookies track visitors across websites and collect information to provide customized ads. for 14-16. But opting out of some of these cookies may affect your browsing experience. 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. 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) This restoring force is what causes the mass the oscillate. (download the rest of the essay above). We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). Group 5. James Allison, Clint Rowe, & William Cochran. 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. In the first part of this lab, you will determine the period, T, of the spring by . 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. this force exists is with a common helical spring acting on a body. If an applied force varies linearly with position, the force can be defined as 9: Small weights Keeping the paper taut 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 order to measure simple harmonic motion, there are two traits needed: . 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. Essay Sauce, Simple Harmonic Motion - lab report . What oscillation amplitude will you use for this experiment? experiment (MS Word format): As of now, there are no 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. 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 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. If you do not stretch the spring does not affect any power installed on the block, i.e. 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. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. When a 0.200kg mass is added to the mass pan, the spring is stretched to the 0.320m-mark as shown in Figure 4. I need help with understanding the purpose of this lab. Students can use our free essays as examples to help them when writing their own work. You can get a custom paper by one of our expert writers. 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) .