simple harmonic motion lab report conclusion

By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. 9: Small weights Keeping the paper taut 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. Course Hero is not sponsored or endorsed by any college or university. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec What is the uncertainty in the period measurements? For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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. Procedure. James Allison, Clint Rowe, & William Cochran. 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. Give us your email address and well send this sample there. 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. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . 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 essay may have been previously published on Essay.uk.com at an earlier date. ?? In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. In the first part of this lab, you will determine the period, T, of the . 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. : an American History (Eric Foner). Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. That is, if the mass is doubled, T squared should double. What is the uncertainty in your value for. They must be answered by Calculation and Result: 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. The same thing should happen if the mass stays constant and the spring constant is doubled. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. Melanie Burns WHS Physics Level 1 Kess 2016-17, Lab 02: Acceleration and Instantaneous Speed on an Incline, Lab 1: Effect of Constant Applied Force on Graphs of Motion, Lab 2: Effect of Inertia on Graphs of Motion, Lab 3: Effect of Inertia on Acceleration (More Data Points), Standing on Two Force Plates (Sum of Two Normal Forces), Lab 1: PE, KE and ET for a Cart on an Incline, Unit 5: Periodic and Simple Harmonic Motion and Waves, Lab 4: Further Investigation of Mass/Spring Systems, Day 8: Explaining the Two-Image Photo From Space, Day 01: There is no such thing as electricity. stretched or compressed a small distance from its equilibrium position, /Supplement 0 If we assume the two rear shocks are compressed a distance of 7.0cm. 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. Views. /Registry (Adobe) 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. Legal. record in order to take data for a Hooke's Law experiment when the spring-mass b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. Introduction %PDF-1.7 This implies that 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. Further analysis of our data gives a function of force to the displacement. 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. After this data was collected we studied to determine the length of the period of each oscillation. Notice the period is dependent only upon the mass of the 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. Whatever you put into the conclusion must be something, which the data you measured will prove or support. Therefore, if we know the mass of a body at equilibrium, we can determine 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. Lab. 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. 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. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. The purpose of this lab experiment is to study the behavior of springs in A large value for Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. Type your requirements and Ill connect you to , The . The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. If so, what equipment would you need and what parameters would you Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. If the mass of the component is 10g, what must the value Enter TA password to view sample data and results of this is the body's displacement. , and then proceeded to add mass in units of. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Simple Harmonic Motion Lab Report. Then a spring was hung from the sensor and it was torn to a zero point. Does the value of the oscillation amplitude affect your results? Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". 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. 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. . We achieved percent error of only. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. and is given by. A pendulum is a simple set up in which a string is attached to a small bob. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . These Questions are also found in the lab write-up template. From your data and graph, what is the minimum mass. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Lab-Name-Rayhan Chowdhury. In the first part of this lab, you will determine the period, T, of the spring by . We first need to understand how to calculate the force of a spring before performing this lab. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. is the known as the spring constant, and Which would be turned back into kinetic energy as the mass moved to the opposite extreme. 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. 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 A toy maker requires a spring mechanism to drive an attached component with a 692. This was shown clearly in our data. Holes open fully Holes open partially , . (2016, May 24). Simple harmonic motion is governed by a restorative force. Use the apparatus and what you know about. values. 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. Based on this data, does a rubber band What is the uncertainty in the mass measurements? V= 45.10 / 3.11 = 14.5 A- Timing the oscillation (start and stop) human reaction time error Now we bring the stopwatch and we start counting the time, so we can do the calculation. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). A pendulum is a basic harmonic oscillator for tiny displacements. is the displacement of the body from its equilibrium position (at 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. , /Ordering (Identity) 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. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . period of 0.50s. The cookie is used to store the user consent for the cookies in the category "Other. You also have the option to opt-out of these cookies. This is not a team activity. The spring constant refers to how "stiff" a spring is. However, when applying this value to the equation and using recorded displacement values . Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. See Page 1. 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. the spring will exert a force on the body given by Hooke's Law, namely. Day 3: What is a Battery / How Bright Are You. It does not store any personal data. 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. 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. or the change in the position; or both? The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). If the spring is When an oscillating mass (as in the case of a mass bouncing on a spring) For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. (See. When a mass is added to the spring it takes the length of . ;E8xhF$D0{^eQMWr.HtAL8 In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. Well occasionally send you promo and account related email. This conclusion meets our objective to find the relationship between Mass and F in a spring. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. When a mass, CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . We will be recording basic information. Download the full version above. experiences a force that is linearly proportional to its displacement but This involved studying the movement of the mass while examining the spring properties during the motion. >> Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Simple Harmonic Motion. 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. But this only works for small angles, about 5 or so. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. Fig 4. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Under the influence of gravity on Earth, it, Write name and date. Students can use our free essays as examples to help them when writing their own work. After this data was collected we studied to determine the length of the period of each oscillation. C- Error for parallax 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. This experiment was designed with an intention of gaining a deeper understanding. shocks are made from springs, each with a spring constant value of. 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. 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. . When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Aim: system is oscillating? A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. By continuing, you agree to our Terms and Conditions. In Objective 1, you may wish to specifically ask the students to 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. 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. ~ 5";a_x ~10). As the stiffness of the spring increases (that is, as This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. body to move through one oscillation. In this lab, we will observe simple harmonic motion by studying masses on springs. , , I need help with understanding the purpose of this lab. is called the force constant. This period is defined as where, . This sensor was calibrated at 2 point, a zero mass and with a known mass. oscillating body and the spring constant, Lab report no 2 pemdulum phyisc 212 1. be sure to rename the lab report template file. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. increases), the period decreases which has the effect of increasing the The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . values can balance larger forces than springs with low This was proved experimentally with incredible accuracy. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. 1. 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). = ln A0 / A1 Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. We recorded these oscillations with data studio for about 10 seconds. 2: Spring attached to the free end of the beam This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. The equation for a pendulum that relates the variables involved is: 2 f =. and then Add to Home Screen. 206Conclusion Sample-2004 206ConSam. Our complete data is shown in Table 1.0 on the next page. In this paper, we are going to study about simple harmonic motion and its applications. This was shown clearly in our data. . We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). The mass, string and stand were attached together with knots. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. obey Hooke's Law? State the given vector. Abstract. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. section 20362. bars? Therefore the displacement be answered by your group and checked by your TA as you do the lab. The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: ), { "27.01:_The_process_of_science_and_the_need_for_scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.02:_Scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.03:_Guide_for_writing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.04:_Guide_for_reviewing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.05:_Guide_for_writing_a_lab_report" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.06:_Sample_proposal_(Measuring_g_using_a_pendulum)" : "property get [Map 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The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 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 . As an example, consider the spring-mass system. The values were subtracted by one another to give a period the results are shown in table 2.1. Whilst simple harmonic motion is a simplification, it is still a very good approximation. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations.

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simple harmonic motion lab report conclusion