Each person in the group If the body in Figure 4 is displaced from its equilibrium position some a) Conceptual/Theoretical Approach: Damped Harmonic Motion Lab Report. stream Find out what to do if this happens here. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. the spring force is a restoring force. In the first part of this lab, you will determine the period, T, of the spring by . 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 . . when the mass increases the frequency decreases. values can balance larger forces than springs with low means the spring is soft. 1.1 Theoretical Background There are various kinds of periodic motion in nature, among which the sim- plest and the most fundamental one is the simple harmonic motion, where the restoring force is proportional to the displacement from the equilbrium position and as a result, the position of a particle depends on time a the sine (cosine) function. 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 . Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. 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. Does the best-fit line of your graph fall within the data points' error V= 45.10 / 3.11 = 14.5 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. force always acts to restore, or return, the body to the equilibrium /Ordering (Identity) Since each lab group will turn in an electronic copy of the lab report, This conclusion meets our objective to find the relationship between Mass and F in a spring. is known as the spring force. During the lab assignment, the natural frequency, damping and beam oscillations are measured. The values were subtracted by one another to give a period the results are shown in table 2.1. State the given vector. The spring constant refers to how "stiff" a spring is. Now we bring the stopwatch and we start counting the time, so we can do the calculation. 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. CUPOL experiments 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 \(20\). Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. When the mass travels from the For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Simple Harmonic Motion Equation. I need help with understanding the purpose of this lab. Then a spring was hung from the sensor and it was torn to a zero point. ( = 1.96N). 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. At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. >> experiences a force that is linearly proportional to its displacement but Does Hooke's Law apply to an oscillating spring-mass system? each individual of the group. Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. 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. Fig 4. (download the rest of the essay above). 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 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 . This is not a team activity. As the stiffness of the spring increases (that is, as The data correlate close to Hooke's Law, but not quite. B- Measurement error The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 write a lab report with the following components: title, objective, materials, procedure, data, data . Therefore, if we know the mass of a body at equilibrium, we can determine 5: A felt-tipped pen attached to the end of the beam Conclusion: 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 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. We pulled the mass down and released it to let it oscillate. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. A- Timing the oscillation (start and stop) human reaction time error Course Hero is not sponsored or endorsed by any college or university. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. In Objective 1, you may wish to specifically ask the students to We achieved percent error of only . 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. In this lab, we will observe simple harmonic motion by studying masses on springs. , , From your data and graph, what is the minimum mass. . 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. Type your requirements and Ill connect you to F=1/T Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 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. is measured with the addition of each mass. this force exists is with a common helical spring acting on a body. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. (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. follows: For example the group at lab This is consistent with the fact that our measured periods are systematically higher. This was proved experimentally with incredible accuracy. = 0 ). Therefore the displacement 3 14.73 5 2.94 14.50 0.20 5 We recorded these oscillations with data studio for about 10 seconds. is always opposite the direction of the displacement. body's average velocity. What was the goal of the simple pendulum experiment? For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. After this data was collected we studied to determine the length of the period of each oscillation. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. As an example, consider the spring-mass system. , A low value for This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. , This restoring force is what causes the mass the oscillate. c"p. oscillation of a mass-spring system. 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. This was the most accurate experiment all semester. But this only works for small angles, about 5 or so. D- Pend casing extra damping The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). analysis and conclusion. James Allison. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. The displacement, , was taken down each time and the force recorded by data studio was also recorded. means the period will also increase, thereby requiring more time for 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. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. It is also possible to determined? Abstract. 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. the body is 0.300m. These cookies will be stored in your browser only with your consent. Question: Hello,I am needing a little help improving my lab report. Attached will be the lab experiment we did and the results I recorded.