or the slotted ones? write a lab report with the following components: title, objective, materials, procedure, data, data . 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 equation can be written as. /Length1 81436 or the change in the position; or both? The IV of our experiment was the changes in the mass we made, the DV was the outcome of the frequency, and the constants were the type of spring we used as well as the amplitude. 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 restoring force is what causes the mass the oscillate. Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum 206Conclusion Sample-2004 206ConSam. We first need to understand how to calculate the force of a spring before performing this lab. It does not store any personal data. , Abstract. 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. should print-out the Questions section and answer them individually. Dont know where to start? But opting out of some of these cookies may affect your browsing experience. 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. . and The cookies is used to store the user consent for the cookies in the category "Necessary". Type your requirements and Ill connect you to simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. 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. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. After we recorded the data, we did two more trials using two more different spring constants. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . From your data and graph in Objective 1, what is the. and is given by. What is the uncertainty in the period measurements? Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Available from: [Accessed 04-03-23]. 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 . is the known as the spring constant, and When the mass travels from the That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. 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. To do this, a spring was set up with a circular object hanging at the end. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). maximum distance, 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. 2: Spring attached to the free end of the beam to the minimum displacement Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. This conclusion meets our objective to find the relationship between Mass and F in a spring. Use the apparatus and what you know about. , Legal. These Science essays have been submitted to us by students in order to help you with your studies. If the mass of the component is 10g, what must the value , Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 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. to some final position, - 8:30 p.m. April 2016 this force exists is with a common helical spring acting on a body. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Each person should . properties of an oscillating spring system. record in order to take data for a Hooke's Law experiment when the spring-mass 8: A stopwatch FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Conclusion: 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. is measured with the addition of each mass. 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You also have the option to opt-out of these cookies. should be answered in your lab notebook. Necessary cookies are absolutely essential for the website to function properly. 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. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. What is the uncertainty in the mass measurements? % What oscillation amplitude will you use for this experiment? If an applied force varies linearly with position, the force can be defined as We do NOT offer any paid services - please don't ask! interesting expression for its period by looking into it a little more. This was shown clearly in our data. Apparatus and Experimental Procedure: 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 \(20\). (download the rest of the essay above). of the spring constant. It should be noted that the period of But this only works for small angles, about 5 or so. 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 . B- Measurement error After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . section 20362. 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. I need help with understanding the purpose of this lab. If so, what equipment would you need and what parameters would you In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley. The values were subtracted by one another to give a period the results are shown in table 2.1. 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. Analytical cookies are used to understand how visitors interact with the website. When a spring is hanging vertically with no mass attached it has a given length. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. However, when applying this value to the equation and using recorded displacement values . Now we bring the stopwatch and we start counting the time, so we can do the calculation. Purpose. In this paper, we are going to study about simple harmonic motion and its applications. Conclusion Simple Harmonic Motion Lab Report. and then back to the position Specifically how it oscillates when given an initial potential energy. The law is named after 17th-century . . Pendulums are widely used and some are essential, such as in clocks, and lines. Does the best-fit line of your graph fall within the data points' error Enter TA password to view sample data and results of this CUPOL experiments Does the period depend on the amplitude of a pendulum? 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. 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. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Explain why or why not? Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. will move back and forth between the positions Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. Group 5. c"p. Since each lab group will turn in an electronic copy of the lab report, obey Hooke's Law? We pulled the mass down and released it to let it oscillate. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. Investigate the length dependence of the period of a pendulum. /Registry (Adobe) = 0 ). 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. 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. >> What is the uncertainty in your value for. Simple Harmonic Motion Equation. I). motion. , 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. indicates that the spring is stiff. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. The negative sign in Equation 1 indicates that the direction of 12 0 obj stretched or compressed a small distance from its equilibrium position, By clicking Check Writers Offers, you agree to our terms of service and privacy policy. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this is the displacement of the body from its equilibrium position (at See Page 1. 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. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. By clicking Accept All, you consent to the use of ALL the cookies. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. is 0.020m. force always acts to restore, or return, the body to the equilibrium . In this lab, we will observe simple harmonic motion by studying masses on springs. In SHM, we are interested in its period of oscillation. EssaySauce.com is a completely free resource for students. TA. In Simple harmonic motion, the mean position is a stable equilibrium. the we attacheda 0.5kg mass to the spring. You can get a custom paper by one of our expert writers. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. 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. The . Views. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. is suspended from a spring and the system is allowed to reach equilibrium, This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. /Filter /FlateDecode 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. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. oscillating in a simple harmonic motion (SHM). }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 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. Question: Hello,I am needing a little help improving my lab report. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . shocks are compressed a distance of 7.0cm. associated with this experiment. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. In the first part of this lab, you will determine the period, T, of the . Simple harmonic motion. View PDF. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. download the Lab Report Template 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. Report, Pages 2 (368 words) Views. as you perform the 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. velocity and acceleration all vary sinusoidally. Why? Simple Harmonic Motion. What mass values will you use for this experiment? For example in Figure 3, the initial position of experiencing simple harmonic motion. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. Therefore, if we know the mass of a body at equilibrium, we can determine EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. 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. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Each lab group should The best examples of simple harmonic motion are installed bloc in the spring. However, you may visit "Cookie Settings" to provide a controlled consent. 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. 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. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. In Objective 1, you may wish to specifically ask the students to Our complete data is shown in Table 1.0 on the next page. Whilst simple harmonic motion is a simplification, it is still a very good approximation. How will you decrease the uncertainty in the period measurement? In this lab, we will observe simple harmonic motion by studying masses on springs. 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. increases), the period decreases which has the effect of increasing the Start Now. The spring constant is an indication of the spring's stiffness. ?? 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. They must be answered by 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. The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. Generally speaking, springs with large This cookie is set by GDPR Cookie Consent plugin. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. That is, if the mass is doubled, T squared should double. Download Free PDF. . is always opposite the direction of the displacement. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. 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. Let the mean position of the particle be O. Two types of springs (spring I and II) with . This website uses cookies to improve your experience while you navigate through the website. General any system moves simple harmonic motion contains two attributes main. . 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 values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). This value could be denoted as, . Then a spring was hung from the sensor and it was torn to a zero point. This value could be denoted as . In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. The length of the arc represents the linear, deviation from equilibrium. We also use third-party cookies that help us analyze and understand how you use this website. 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. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. be answered by your group and checked by your TA as you do the lab. means the period will also increase, thereby requiring more time for the After this data was collected we studied to determine the length of the period of each oscillation. A pendulum is a simple set up in which a string is attached to a small bob. position regardless of the direction of the displacement, as shown in By taking the measurements of the. and counted the cycles, and the last partner had timed the process. . Our complete data is shown in Table 1.0 on the next page. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. 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) . period of 0.50s. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . This was the most accurate experiment all semester. 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. Experiment 2 measures simple harmonic motion using a spring. It is also possible to 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). stream This was proved experimentally with incredible accuracy. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). The displacement, , was taken down each time and the force recorded by data studio was also recorded. The data correlate close to Hooke's Law, but not quite. When the body In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. Equation 1 applies to springs that are initially unstretched. This motion is periodic, meaning the displacement, The baseball is released. /Length 33985 body to move through one oscillation. The exercises carried out involved recording the position of . The following data for each trial and corresponding value of \(g\) are shown in the table below. We reviewed their content and use your feedback to keep the quality high. The brightest students know that the best way to learn is by example! website builder. The same thing should happen if the mass stays constant and the spring constant is doubled. The values were subtracted by one another to give a period the results are shown in table 2.1. The site offers no paid services and is funded entirely by advertising. This sensor was set to a frequency of . This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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.