Fig 4. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Mass is added to a vertically hanging rubber band and the displacement In the first part of this lab, you will determine the period, T, of the . Simple harmonic motion is governed by a restorative force. In other words, the spring The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Lab report no 2 pemdulum phyisc 212 1. This period is defined as where, . Available from: [Accessed 04-03-23]. 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 . CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. Use the apparatus and what you know about. is 0.020m. The body follows: For example the group at lab Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 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 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. Cross), Chemistry: The Central Science (Theodore E. 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It should be noted that the period of If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. These Science essays have been submitted to us by students in order to help you with your studies. (2016, May 24). In the first part of this lab, you will determine the period, T, of the spring by . table #5 working on the Ideal Gas Law experiment would rename their template file simple harmonic motion summary | Britannica example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. 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 \(L\)). . PDF The Simple Pendulum - Florida Gulf Coast University Damped Harmonic Motion Lab Report - 838 Words | Studymode When a spring is hanging vertically with no mass attached it has a given length. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. 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. ?? = 0 ). /Length 33985 In this lab, we will observe simple harmonic motion by studying masses on springs. These cookies ensure basic functionalities and security features of the website, anonymously. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 We achieved percent error of only . . B- Measurement error Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Course Hero is not sponsored or endorsed by any college or university. The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. PDF Simple Harmonic Motion and Damping - Gatech.edu 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. Download. This sensor was calibrated at 2 point, a zero mass and with a known mass. Based on this data, does a rubber band 6: Speed control unit (controls the turning speed of the chart recorder) If you do not stretch the spring does not affect any power installed on the block, i.e. ~ 5";a_x ~10). each individual of the group. 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. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". After this data was collected we studied to determine the length of the period of each oscillation. 206Conclusion Sample-2004 206ConSam. Dont know where to start? Damped Harmonic Motion Lab Report. If the mass is tripled, t squared should triple also. 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. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. You can get a custom paper by one of our expert writers. 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. >> Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. determined? This is shown below in Graph 1 below is for all the masses. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. We recorded these oscillations with data studio for about 10 seconds. attach their own copy to the lab report just prior to handing in the lab to your Specifically how it oscillates when given an initial potential energy. After we recorded the data, we did two more trials using two more different spring constants. 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. These cookies track visitors across websites and collect information to provide customized ads. We will study how a mass moves and what properties of spring give the mass a predictable movement. By taking the measurements of the. the system is balanced and stable. Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. 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. 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. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . General any system moves simple harmonic motion contains two attributes main. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 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. /Supplement 0 This was the most accurate experiment all semester. 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) is the displacement of the body from its equilibrium position (at 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 . the spring force is a restoring force. : an American History (Eric Foner). Purpose. Each person should this force exists is with a common helical spring acting on a body. What are the sources of errors in a simple pendulum experiment - Quora Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. 04/20/12. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . as "5 Gas Law.doc". 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. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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Here the constant of proportionality, oscillating body and the spring constant, Holes open fully Holes open partially What is the uncertainty in the mass measurements? You can view ourterms of use here. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. of the spring force equals the weight of the body, 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. By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. 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. %PDF-1.7 8: A stopwatch Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . study the effects, if any, that amplitude has on the period of a body This value could be denoted as, . 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. , 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. 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. Solved Laboratory The simple pendulunm Purpose: investigate | Chegg.com Each person in the group Experiment 11- Simple Harmonic Motion - Studocu The values were subtracted by one another to give a period the results are shown in table 2.1. In this lab, we will observe simple harmonic motion by studying masses on springs. 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. where Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. c"p. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . Laboratory Report Exercise 3 Simple Harmonic Motion: Oscillations in 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 mass, string and stand were attached together with knots. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Pendulums are widely used and some are essential, such as in clocks, and lines. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). PDF Introduction to Simple Harmonic Motion - Memorial University Of 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 law is named after 17th-century . Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. download the Lab Report Template 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. Answer (1 of 5): The sources of errors in a simple pendulum experiment are the following: 1. human errors comes in when measuring the period using a stopwatch. 10 0 obj 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. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. and then released, it will oscillate about the equilibrium position. This was the most accurate experiment all semester. 7: A ruler and then Add to Home Screen. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. The purpose of this lab experiment is to study the behavior of springs in We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. This was proved experimentally with incredible accuracy. F=1/T Therefore the 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. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. analysis and conclusion. Calculation and Result: The values were subtracted by one another to give a period the results are shown in table 2.1. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 What oscillation amplitude will you use for this experiment? Does the best-fit line of your graph fall within the data points' error We also use third-party cookies that help us analyze and understand how you use this website. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. If the spring is When the mass travels from the website builder. Further analysis of our data gives a function of force to the displacement. 1 15 5 3 14.50 0.20 5 body's average velocity. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. If we assume the two rear 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. Analysis: 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. 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. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. In SHM, we are interested in its period of oscillation. 27.8: Sample lab report (Measuring g using a pendulum) x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? Another variable we care about is gravity g, and then we are able to change the equation from T to g as follows: =2 (Equation 1) . The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Two types of springs (spring I and II) with . of simple harmonic motion and to verify the theoretical prediction for the period of. ;E8xhF$D0{^eQMWr.HtAL8 Simple Harmonic Motion Equation. as shown in Figure 2, Newton's Second Law tells us that the magnitude Views. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. Report, Pages 2 (368 words) Views. Figures 1a - 1c. The cookie is used to store the user consent for the cookies in the category "Other. where - 8:30 p.m. April 2016 . 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. . 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. 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home The corresponding value of \(g\) for each of these trials was calculated. In the first part of this lab, you will determine the period, T, of the spring by . Simple Harmonic Motion in a Spring-Mass System | Science Project The same thing should happen if the mass stays constant and the spring constant is doubled. . /Length1 81436 (download the rest of the essay above). 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax Question: 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. How is this (See. By clicking Accept All, you consent to the use of ALL the cookies. position regardless of the direction of the displacement, as shown in The site offers no paid services and is funded entirely by advertising. As an example, consider the spring-mass system. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. Our complete data is shown in Table 1.0 on the next page. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. 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. indicates that the spring is stiff. Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com /Filter /FlateDecode But opting out of some of these cookies may affect your browsing experience. 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. These cookies will be stored in your browser only with your consent. , What is the uncertainty in your value for. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. . be answered by your group and checked by your TA as you do the lab. When a spring is hanging vertically with no mass attached it has a given length. Lab-Name-Rayhan Chowdhury. 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. Generally speaking, springs with large After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . The cookie is used to store the user consent for the cookies in the category "Analytics". 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). The recorded data is The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. section 20362. We repeated this measurement five times. The spring force must balance the weight of the added mass Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). Lab report no 2 pemdulum phyisc 212 - SlideShare But this only works for small angles, about 5 or so. Does Hooke's Law apply to an oscillating spring-mass system? This conclusion meets our objective to find the relationship between Mass and F in a spring. (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. 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. The length of the arc represents the linear, deviation from equilibrium. EssaySauce.com is a completely free resource for students. the we attacheda 0.5kg mass to the spring. In Objective 1, you may wish to specifically ask the students to This was shown clearly in our data. 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. shocks are compressed a distance of 7.0cm. and counted the cycles, and the last partner had timed the process. Simple harmonic motion. will move back and forth between the positions After this data was collected we studied to determine the length of the period of each oscillation. 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.