when the mass increases the frequency decreases. This was shown clearly in our data. If the mass is tripled, t squared should triple also. (download the rest of the essay above). The spring constant refers to how "stiff" a spring is. body to move through one oscillation. The string is clamped, and when it is displaced, it . Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? Each of the reasons for errors In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. and is given by. The baseball is released. Why? 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. These cookies will be stored in your browser only with your consent. In the first part of this lab, you will determine the period, T, of the . 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. is 0.020m. These Nudge Questions are to In other words, the spring %PDF-1.7 When a spring is hanging vertically with no mass attached it has a given length. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. By clicking Accept All, you consent to the use of ALL the cookies. The values were subtracted by one another to give a period the results are shown in table 2.1. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 7: A ruler 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. Fig 4. the spring will exert a force on the body given by Hooke's Law, namely. associated with this experiment. indicates that the spring is stiff. 1: Rectangular beam clamped one one end and free on the other Report, Pages 2 (368 words) Views. system is oscillating? oscillating in a simple harmonic motion (SHM). Simple Harmonic Motion. Analytical cookies are used to understand how visitors interact with the website. obey Hooke's Law? (See. Two types of springs (spring I and II) with . . You can view ourterms of use here. This period is defined as where, . How is this Let the mean position of the particle be O. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. to some final position, Conclusion: When a box of unknown mass is placed into the trunk of a car, both rear 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. Purpose. This value could be denoted as, . 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. Simple harmonic motion. 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). motion is independent of the amplitude of the oscillations. Investigate the length dependence of the period of a pendulum. 5: A felt-tipped pen attached to the end of the beam maximum displacement This conclusion meets our objective to find the relationship between Mass and F in a spring. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. The negative sign in Equation 1 indicates that the direction of , was taken down each time and the force recorded by data studio was also recorded. This sensor was set to a frequency of . record in order to take data for a Hooke's Law experiment when the spring-mass If the body in Figure 4 is displaced from its equilibrium position some ;E8xhF$D0{^eQMWr.HtAL8 Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . or the slotted ones? Damped Harmonic Motion Lab Report. When an oscillating mass (as in the case of a mass bouncing on a spring) This period is defined as, For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Explain why or why not? force always acts to restore, or return, the body to the equilibrium Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. The recorded data is In order to measure simple harmonic motion, there are two traits needed: . shocks are made from springs, each with a spring constant value of. is measured with the addition of each mass. The brightest students know that the best way to learn is by example! 9: Small weights Keeping the paper taut Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. increases), the period decreases which has the effect of increasing the We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. At t = 0, the particle is at point P (moving towards the right . 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. This was the most accurate experiment all semester. ( = 1.96N). stretched or compressed a small distance from its equilibrium position, The spring force must balance the weight of the added mass Now we bring the stopwatch and we start counting the time, so we can do the calculation. 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. Generally speaking, springs with large 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. download the Lab Report Template Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. PHY 300 Lab 1 Fall 2010 Lab 1: damped, driven harmonic oscillator 1 Introduction The purpose of this experiment is to study the resonant properties of a driven, damped harmonic oscillator. . Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. values. 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. Students looking for free, top-notch essay and term paper samples on various topics. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. is the known as the spring constant, and In part two of this lab, you will attach a spring on either side of a sliding mass on a frictionless air track and have a photo gate measure the period as the mass oscillates. They must be answered by , We transcribed the measurements from the cell-phone into a Jupyter Notebook. The spring constant is an indication of the spring's stiffness. determine the minimum mass. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. Our complete data is shown in Table 1.0 on the next page. . Experiment 2 measures simple harmonic motion using a spring. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. The exercises carried out involved recording the position of . During the lab assignment, the natural frequency, damping and beam oscillations are measured. 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, . Yes! Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). = ln A0 / A1 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 . The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. shocks are compressed a distance of 7.0cm. When the mass travels from the The law is named after 17th-century . 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. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. Figures 1a - 1c. Create your website today. See Page 1. C- Error for parallax This value could be denoted as . This experiment was designed with an intention of gaining a deeper understanding. Here the constant of proportionality, This basically means that the further away an oscillating object is from its mid-point, the more acceleration . In this lab, we will observe simple harmonic motion by studying masses on springs. When a mass is added to the spring it takes the length of . These experiments are suitable for students at an advanced level . Course Hero is not sponsored or endorsed by any college or university. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. is the displacement of the body from its equilibrium position (at 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Our complete data is shown in Table 1.0 on the next page. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. TA. The following data for each trial and corresponding value of \(g\) are shown in the table below. , Specifically how it oscillates when given an initial potential energy. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. 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. This motion is periodic, meaning the displacement, After this data was collected we studied to determine the length of the period of each oscillation. We achieved percent error of only. After this data was collected we studied to determine the length of the period of each oscillation. Each lab group should It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Don't use plagiarized sources. 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) . James Allison. 692. 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". 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 \(20\). * This essay may have been previously published on Essay.uk.com at an earlier date. 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. What was the goal of the simple pendulum experiment? 3 14.73 5 2.94 14.50 0.20 5 We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. and fill in the relevant information Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode.
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