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 . What is the uncertainty in the period measurements? Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. The body When the body Holes open fully Holes open partially 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. and fill in the relevant information 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 . Report, Pages 2 (368 words) Views. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. These Nudge Questions are to 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. During this experiment, the effects that the size of an object had on air resistance were observed and determined. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. Legal. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. 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. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. CUPOL experiments In Objective 1, you may wish to specifically ask the students to See Page 1. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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. 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. 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. the body is 0.300m. static and dynamic situations. . associated with this experiment. This restoring force is what causes the mass the oscillate. 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. My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. Essay Sauce, Simple Harmonic Motion - lab report . . 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 cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 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. in the opposite direction, the resulting motion is known as simple harmonic EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. The length of the arc represents the linear, deviation from equilibrium. 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. Why Lab Procedures and Practice Must Be Communicated in a Lab. All our essays are uploaded by volunteers. c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. 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. This is not a team activity. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. /Ordering (Identity) When the mass travels from the 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. I need help with understanding the purpose of this lab. What quantities will you plot in order to determine. The purpose of this lab is to find the force constant of a spring and to also study the motion of a spring with a hanging mass when vibrating under the influence of gravity. Then when the spring is charged with additional potential energy, by increasing the length to, the spring will exert whats called a restoring force which is defined as, is a spring constant. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. each individual of the group. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . 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. That number will be your delta x. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) 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. By taking the measurements of the. 692. Course Hero is not sponsored or endorsed by any college or university. Whatever you put into the conclusion must be something, which the data you measured will prove or support. my lab report for this lab - I earned an A in the lab. to some final position, 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. 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. A toy maker requires a spring mechanism to drive an attached component with a From your data and graph, what is the minimum mass. maximum distance, The negative sign in Equation 1 indicates that the direction of The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. 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: . stream The exercises carried out involved recording the position of . Simple harmonic motion. 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Enter TA password to view sample data and results of this is the displacement of the body from its equilibrium position (at If we assume the two rear We achieved percent error of only . It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. 10 0 obj 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. download the Lab Report Template We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 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 always opposite the direction of the displacement. This sensor was calibrated at 2 point, a zero mass and with a known mass. This was proved experimentally with incredible accuracy. Conclusion: Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. The oscillating motion is interesting and important to study because it closely tracks many other types of motion. The objective of this lab is to understand the behavior of objects in simple harmonic motion by determining the spring constant of a spring-mass system and a simple pendulum. 8: A stopwatch Start Now. , 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. Type your requirements and Ill connect you to After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . The string is clamped, and when it is displaced, it . as "5 Gas Law.doc". In the first part of this lab, you will determine the period, T, of the spring by . If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Analysis: * This essay may have been previously published on Essay.uk.com at an earlier date. C- Error for parallax . We will study how a mass moves and what properties of spring give the mass a predictable movement. View PDF. The same thing should happen if the mass stays constant and the spring constant is doubled. 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Let the mean position of the particle be O. Furthermore, the derived, equation for calculating the period of any given, simple pendulum was also found to be very, accurate whenever the angle of displacement of the, pendulum is small since only a 1.943% percent. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. You can get a custom paper by one of our expert writers. The . 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 Procedure. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. We repeated this measurement five times. 04/20/12. bars? When a mass, This sensor was calibrated at 2 point, a zero mass and with a known mass. . This type of motion is also called oscillation, motion. << Remember. 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. In this lab, we will observe simple harmonic motion by studying masses on springs. If the body in Figure 4 is displaced from its equilibrium position some 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. 9: Small weights Keeping the paper taut 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, . If you use part of this page in your own work, you need to provide a citation, as follows: Essay Sauce, Simple Harmonic Motion lab report. By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. In order to measure simple harmonic motion, there are two traits needed: . At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . 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. We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. , Yes! and then released, it will oscillate about the equilibrium position. EssaySauce.com is a completely free resource for students. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. section 20362. This problem should be solved using the principles of Energy Conservation. Simple Harmonic Motion Lab Report. The experiment was conducted in a laboratory indoors. Find out what to do if this happens here. 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. 3 14.73 5 2.94 14.50 0.20 5 6: Speed control unit (controls the turning speed of the chart recorder) 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. In this lab, we will observe simple harmonic motion by studying masses on springs. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 James Allison. 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. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. should print-out the Questions section and answer them individually. 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. record in order to take data for a Hooke's Law experiment when the spring-mass The cookie is used to store the user consent for the cookies in the category "Performance". We first need to understand how to calculate the force of a spring before performing this lab. Group 5. 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. determine the minimum mass. State the given vector. . Necessary cookies are absolutely essential for the website to function properly. In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. the spring will exert a force on the body given by Hooke's Law, namely. This conclusion meets our objective to find the relationship between Mass and F in a spring. undergoes an arbitrary displacement from some initial position, Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses .