The string is clamped, and when it is displaced, it . The following data for each trial and corresponding value of \(g\) are shown in the table below. Course Hero is not sponsored or endorsed by any college or university. Each lab group should FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. , Mass is added to a vertically hanging rubber band and the displacement follows: For example the group at lab This basically means that the further away an oscillating object is from its mid-point, the more acceleration . Download. As the stiffness of the spring increases (that is, as We also use third-party cookies that help us analyze and understand how you use this website. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). We do NOT offer any paid services - please don't ask! 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. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 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. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. After this data was collected we studied to determine the length of the period of each oscillation. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. What is the uncertainty in the period measurements? 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. What is the uncertainty in the mass measurements? Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. website builder. When a box of unknown mass is placed into the trunk of a car, both rear In other words, the spring This type of motion is characteristic of many physical phenomena. In this lab, we will observe simple harmonic motion by studying masses on springs. 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Does Hooke's Law apply to an oscillating spring-mass system? Conversely, an increase in the body's mass Use the apparatus and what you know about. 5: A felt-tipped pen attached to the end of the beam This sensor was set to a frequency of. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. This involved studying the movement of the mass while examining the spring properties during the motion. this equation can be written as. This was the most accurate experiment all semester. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. Procedure. , 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. F_s = -kx F s = kx. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. /Length1 81436 and then back to the position . Essay Sauce, Simple Harmonic Motion - lab report . the spring force acting on the body. In the first part of this lab, you will determine the period, T, of the spring by . What was the goal of the simple pendulum experiment? The period that you solved for will be your theoretical period. body to move through one oscillation. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Lab. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The baseball is released. 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. 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. period of 0.50s. For example, radiation . Abstract. analysis and conclusion. This sensor was set to a frequency of . based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. is 0.020m. obey Hooke's Law? For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. All our essays are uploaded by volunteers. stream . the we attacheda 0.5kg mass to the spring. 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. 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. - 8:30 p.m. April 2016 to the minimum displacement This experiment was designed with an intention of gaining a deeper understanding. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). 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. [2] North Carolina State University Physics. 692. We achieved percent error of only. If the spring is View PDF. means the spring is soft. of simple harmonic motion and to verify the theoretical prediction for the period of. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. is the body's displacement. Under the influence of gravity on Earth, it, Write name and date. Analytical cookies are used to understand how visitors interact with the website. In a simple pendulum, moment of inertia is I = mr, so 2 T =. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Create your website today. bars? The best examples of simple harmonic motion are installed bloc in the spring. The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. James Allison, Clint Rowe, & William Cochran. , This is not a team activity. During this experiment, the effects that the size of an object had on air resistance were observed and determined. They (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . 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 . Mass on a Spring. A low value for This conclusion meets our objective to find the relationship between Mass and F in a spring. The recorded data is Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. The value of mass, and the the spring constant. A pendulum is a simple set up in which a string is attached to a small bob. for an individual spring using both Hooke's Law and the download the Lab Report Template Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. , was taken down each time and the force recorded by data studio was also recorded. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) force always acts to restore, or return, the body to the equilibrium Does the value of the oscillation amplitude affect your results? At t = 0, the particle is at point P (moving towards the right . Necessary cookies are absolutely essential for the website to function properly. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. This restoring force is what causes the mass the oscillate. 9: Small weights Keeping the paper taut 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. Here the constant of proportionality, The cookies is used to store the user consent for the cookies in the category "Necessary". 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. 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. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec oscillating in a simple harmonic motion (SHM). If so, what equipment would you need and what parameters would you A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. 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 is governed by a restorative force. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. This cookie is set by GDPR Cookie Consent plugin. >> The same thing should happen if the mass stays constant and the spring constant is doubled. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. This value could be denoted as, . be sure to rename the lab report template file. That is, if the mass is doubled, T squared should double. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. values can balance larger forces than springs with low The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. 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. B- Measurement error Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. C- Error for parallax One cycle of kinematics, including . Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. or the change in the position; or both? . 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. When a mass is added to the spring it takes the length of, . . /Supplement 0 . Does the period depend on the amplitude of a pendulum? The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Jomo Kenyatta University of Agriculture and Technology, conclusion-simple-harmonic-motion-lab-report.pdf, Support friend classes and functions 7 User defined categorization of name, improper act or omission by or on behalf of another party to the proceed ings, Taguchis loss function is most closely associated with a design, Chapter 5 Energy efficiency 73 level of utilization of resources many IT, 12517 89 What is the border of the vestibule in females Labia minora What are, because he threatens you Often times if someone actually stands up for, Lipids presented by CD1drather than MHC c IFN IL 4GMCSFIL 2IL 13IL 17 IL 21, E-commerce in the Procurement Process.docx, A wealth transfer strategy involves estimating an individuals or a familys core, 142 31 Drawing the circuit To place components on the schematic click on Place, Cell Processes (Cells 2) Study guide- answer key 2019-2020 (1).docx, SAMPLE CALCULATIONS 1. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . 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. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al.

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