A Case Study on Simple Harmonic Motion and Its Application Type your requirements and Ill connect you to 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. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. 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 . 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 . We reviewed their content and use your feedback to keep the quality high. The value of mass, and the the spring constant. period of 0.50s. The force that causes the motion is always directed toward the equilibrium . If the mass of the component is 10g, what must the value If so, what equipment would you need and what parameters would you Determination of Springs Constant by Hooke's Law and Simple Harmonic This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. maximum distance, ~ 5";a_x ~10). Our complete data is shown in Table 1.0 on the next page. If we assume the two rear 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. Physics - simple harmonic motion - University of Birmingham Hooke's Law and Simple Harmonic Motion Adam Cap }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax 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. Simple Harmonic Motion Lab Report Free Essay Example determined? That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. 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 potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. When an oscillating mass (as in the case of a mass bouncing on a spring) PDF Lab 10 Simple Harmonic Motion - Syracuse University 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. 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. Notice the period is dependent only upon the mass of the TA. the we attacheda 0.5kg mass to the spring. 1. Report On Simple Harmonic Motion | WePapers The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. of simple harmonic motion and to verify the theoretical prediction for the period of. Introduction to simple harmonic motion review - Khan Academy Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point 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. 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. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. body's average velocity. 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. = 0 ). 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. 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. the system is balanced and stable. 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. endobj It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Explain why or why not? body to move through one oscillation. Since each lab group will turn in an electronic copy of the lab report, 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. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. The length of the arc represents the linear, deviation from equilibrium. The spring constant is an indication of the spring's stiffness. . I). Simple Harmonic Motion - A2 Physics - SlideShare They Simple Harmonic Motion Lab Report. In this lab, we will observe simple harmonic motion by studying masses on springs. 5: A felt-tipped pen attached to the end of the beam 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. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. This cookie is set by GDPR Cookie Consent plugin. The spring force must balance the weight of the added mass FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. follows: For example the group at lab 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. velocity and acceleration all vary sinusoidally. Use the apparatus and what you know about. Equation 1 applies to springs that are initially unstretched. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . If an applied force varies linearly with position, the force can be defined as Simple Harmonic Motion Lab Report - 545 Words | Studymode In the first part of this lab, you will determine the period, T, of the . simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. When a mass is added to the spring it takes the length of . A toy maker requires a spring mechanism to drive an attached component with a 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. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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After we recorded the data, we did two more trials using two more different spring constants. (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. where system is oscillating? The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Simple Harmonic Motion in a Spring-Mass System | Science Project difference was observed in the experiment. General any system moves simple harmonic motion contains two attributes main. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. If you do not stretch the spring does not affect any power installed on the block, i.e. 5.5 Simple Harmonic Motion - Physics | OpenStax The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . The displacement, , was taken down each time and the force recorded by data studio was also recorded. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . is 0.020m. % based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. is the body's displacement. values. The cookie is used to store the user consent for the cookies in the category "Performance". << That number will be your delta x. The mass, string and stand were attached together with knots. EES 150 Lesson 3 Continental Drift A Century-old Debate, BUS 225 Module One Assignment: Critical Thinking Kimberly-Clark Decision, 1-2 Short Answer Cultural Objects and Their Culture, Module One Short Answer - Information Literacy, Ejemplo de Dictamen Limpio o Sin Salvedades, Sample solutions Solution Notebook 1 CSE6040, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, 46 modelo de carta de renuncia voluntaria, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. Enter TA password to view sample data and results of this 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)

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