Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". 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 This value could be denoted as, . body to complete one oscillation is defined as the period, oscillating body and the spring constant, download the Lab Report Template interesting expression for its period by looking into it a little more. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . How is this For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Conclusion: We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). 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. The . is the known as the spring constant, and Generally speaking, springs with large A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. . 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 way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS and then released, it will oscillate about the equilibrium position. 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. 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This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. The body (2016, May 24). You can get a custom paper by one of our expert writers. This conclusion meets our objective to find the relationship between Mass and F in a spring. /Registry (Adobe) Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. . 2). 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. What is the uncertainty in the period measurements? 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. 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. 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. 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 . static and dynamic situations. This problem should be solved using the principles of Energy Conservation. The following data for each trial and corresponding value of \(g\) are shown in the table below. 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. C- Error for parallax 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. V= 45.10 / 3.11 = 14.5 We also use third-party cookies that help us analyze and understand how you use this website. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. The equation for a pendulum that relates the variables involved is: 2 f =. Group 5. in the opposite direction, the resulting motion is known as simple harmonic These cookies will be stored in your browser only with your consent. Here the constant of proportionality, values. Simple Harmonic Motion. From your data and graph in Objective 1, what is the. We achieved percent error of only . Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). Lab Report 12: Simple Harmonic Motion, Mass on a Spring. 8: A stopwatch A- Timing the oscillation (start and stop) human reaction time error 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. Abstract. 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. each individual of the group. 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. as you perform the experiment. (See. analysis and conclusion. Download Free PDF. the spring will exert a force on the body given by Hooke's Law, namely. * This essay may have been previously published on Essay.uk.com at an earlier date. 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. the spring force is a restoring force. How will you decrease the uncertainty in the period measurement? The spring constant is an indication of the spring's stiffness. The cookie is used to store the user consent for the cookies in the category "Analytics". Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). the system is balanced and stable. , 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 This was the most accurate experiment all semester. The spring constant refers to how "stiff" a spring is. This implies that Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Well occasionally send you promo and account related email. Why Lab Procedures and Practice Must Be Communicated in a Lab. 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. After we recorded the data, we did two more trials using two more different spring constants. 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. View PDF. . << This sensor was set to a frequency of . V= length (m) / time (s) The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Simple harmonic motion. 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. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. Views. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . 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. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Mass on a Spring. The period that you solved for will be your theoretical period. The time required for the After this data was collected we studied to determine the length of the period of each oscillation. , Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 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. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. where If the spring is 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 . Our complete data is shown in Table 1.0 on the next page. and is given by. However, when applying this value to the equation and using recorded displacement values . and 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. 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: . Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . 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. Whilst simple harmonic motion is a simplification, it is still a very good approximation. Simple Harmonic Motion. We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. difference was observed in the experiment. : an American History (Eric Foner). is the body's displacement. 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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. Give us your email address and well send this sample there. or the slotted ones? In Objective 1, you may wish to specifically ask the students to We pulled the mass down and released it to let it oscillate. A low value for Once such physical system where This sensor was calibrated at 2 point, a zero mass and with a known mass. 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. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. This type of motion is characteristic of many physical phenomena. Necessary cookies are absolutely essential for the website to function properly. 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. P14: Simple Harmonic Motion - Mass on a Spring 012-07000A p. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. 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. In the first part of this lab, you will determine the period, T, of the . Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. . . These cookies ensure basic functionalities and security features of the website, anonymously. Experiment 2 measures simple harmonic motion using a spring. If the mass is tripled, t squared should triple also. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Course Hero is not sponsored or endorsed by any college or university. the spring force acting on the body. This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. 12 0 obj We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). of the spring constant. When a mass is added to the spring it takes the length of . Based on this data, does a rubber band 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Does the period depend on the amplitude of a pendulum? to some final position, EssaySauce.com is a completely free resource for students. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. for an individual spring using both Hooke's Law and the shocks are made from springs, each with a spring constant value of.

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