simple harmonic motion lab report conclusion

>> experiment (MS Word format): As of now, there are no Download the full version above. 7: A ruler 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. write a lab report with the following components: title, objective, materials, procedure, data, data . Simple Harmonic Motion Equation. That is, if the mass is doubled, T squared should double. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). . Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 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. maximum displacement % , and then proceeded to add mass in units of. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. At t = 0, the particle is at point P (moving towards the right . Calculation and Result: SHM means that position changes with a sinusoidal dependence on time. This is shown below in Graph 1 below is for all the masses. 8: A stopwatch Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. 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. Does the value of the oscillation amplitude affect your results? 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. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. , for an individual spring using both Hooke's Law and the In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. The cookie is used to store the user consent for the cookies in the category "Analytics". 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. : an American History (Eric Foner). Enter TA password to view sample data and results of this The following data for each trial and corresponding value of \(g\) are shown in the table below. This implies that We repeated this measurement five times. Find out what to do if this happens here. indicates that the spring is stiff. where When an oscillating mass (as in the case of a mass bouncing on a spring) example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). In SHM, we are interested in its period of oscillation. In Objective 1, you may wish to specifically ask the students to This can be seen in our data because as the value of the mass increases, the F decreases. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Each person in the group values can balance larger forces than springs with low We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). If the mass of the component is 10g, what must the value Lab-Name-Rayhan Chowdhury. The cookies is used to store the user consent for the cookies in the category "Necessary". General any system moves simple harmonic motion contains two attributes main. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . One cycle of kinematics, including . 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 . CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . The recorded data is This is not a team activity. where Each of the reasons for errors The circuit is exquisitely simple - We do NOT offer any paid services - please don't ask! . A pendulum is a basic harmonic oscillator for tiny displacements. After this data was collected we studied to determine the length of the period of each oscillation. The purpose of this lab experiment is to study the behavior of springs in 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. The time required for the means the period will also increase, thereby requiring more time for the , A- Timing the oscillation (start and stop) human reaction time error 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. The body Students looking for free, top-notch essay and term paper samples on various topics. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Simple Harmonic Motion Lab Report. . Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. You can get a custom paper by one of our expert writers. (2016, May 24). simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. oscillating in a simple harmonic motion (SHM). However, you may visit "Cookie Settings" to provide a controlled consent. Whilst simple harmonic motion is a simplification, it is still a very good approximation. each individual of the group. Mass on a Spring. Investigate the length dependence of the period of a pendulum. and counted the cycles, and the last partner had timed the process. 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 . In this paper, we are going to study about simple harmonic motion and its applications. Course Hero is not sponsored or endorsed by any college or university. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 12 0 obj x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? experiment (MS Excel format): Enter TA password to view answers to questions from this After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this Conclusion From our experiment, I conclude that the period of a pendulum depends on length primarily and agrees with the theory that says for a simple pendulum, . Report, Pages 2 (368 words) Views. experiences a force that is linearly proportional to its displacement but = ln A0 / A1 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. If the body in Figure 4 is displaced from its equilibrium position some obey Hooke's Law? Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. State the given vector. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. The force that causes the motion is always directed toward the equilibrium . 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. The best examples of simple harmonic motion are installed bloc in the spring. If the spring is B- Measurement error Day 3: What is a Battery / How Bright Are You. The cookie is used to store the user consent for the cookies in the category "Performance". 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When the body Each lab group should For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. (See. or the change in the position; or both? Also, you must find the uncertainty in the period, kinetic energy, and potential energy. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. /Ordering (Identity) Introduction A pendulum is a simple set up in which a string is attached to a small bob. shocks are made from springs, each with a spring constant value of. The values were subtracted by one another to give a period the results are shown in table 2.1. 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 Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 TA. Experiment 2 measures simple harmonic motion using a spring. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. Two types of springs (spring I and II) with . It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. ;E8xhF$D0{^eQMWr.HtAL8 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. in the opposite direction, the resulting motion is known as simple harmonic CUPOL experiments The string is clamped, and when it is displaced, it . oscillating body and the spring constant, By taking the measurements of the. What is the uncertainty in the period measurements? Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. But opting out of some of these cookies may affect your browsing experience. study the effects, if any, that amplitude has on the period of a body the spring force is a restoring force. Explain why or why not? 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. D- Pend casing extra damping ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. /Supplement 0 the system is balanced and stable. This problem should be solved using the principles of Energy Conservation. 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. c"p. 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). }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! ~ 5";a_x ~10). 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. This is consistent with the fact that our measured periods are systematically higher. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Essay Sauce, Simple Harmonic Motion - lab report . How will you decrease the uncertainty in the period measurement? This website uses cookies to improve your experience while you navigate through the website. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Start Now. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. << 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 spring constant is an indication of the spring's stiffness. interesting expression for its period by looking into it a little more. This restoring force is what causes the mass the oscillate. is suspended from a spring and the system is allowed to reach equilibrium, body to complete one oscillation is defined as the period, These cookies track visitors across websites and collect information to provide customized ads. Analysis: 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. Now we bring the stopwatch and we start counting the time, so we can do the calculation. as "5 Gas Law.doc". A large value for 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 the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . The negative sign in Equation 1 indicates that the direction of 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. this force exists is with a common helical spring acting on a body. This type of motion is also called oscillation, motion. 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. Each person should 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. as shown in Figure 2, Newton's Second Law tells us that the magnitude 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. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. The period that you solved for will be your theoretical period. Once such physical system where and is given by. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). Don't use plagiarized sources. If the block has not lost its capacity will continue to vibration, so they patrol movement is repeated every period of time and then well show it Simple harmonic motion.

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