The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. /Length 33985 This was the most accurate experiment all semester. If we assume the two rear study the effects, if any, that amplitude has on the period of a body It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. What is the uncertainty in the position measurements? By continuing, you agree to our Terms and Conditions. This sensor was set to a frequency of. What is the uncertainty in the period measurements? 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. You also have the option to opt-out of these cookies. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . Then a spring was hung from the sensor and it was torn to a zero point. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . 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. Necessary cookies are absolutely essential for the website to function properly. . When a mass, The force that causes the motion is always directed toward the equilibrium . 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. 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. That is, if the mass is doubled, T squared should double. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. . This restoring force is what causes the mass the oscillate. If an applied force varies linearly with position, the force can be defined as Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). We will determine the spring constant, Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. 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. 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. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). This is shown below in Graph 1 below is for all the masses. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. The following data for each trial and corresponding value of \(g\) are shown in the table below. , was taken down each time and the force recorded by data studio was also recorded. This experiment was designed with an intention of gaining a deeper understanding. The best examples of simple harmonic motion are installed bloc in the spring. (See. We recorded these oscillations with data studio for about 10 seconds. - 8:30 p.m. April 2016 These cookies track visitors across websites and collect information to provide customized ads. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 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. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Therefore, if we know the mass of a body at equilibrium, we can determine is stretched to the 0.320m-mark as shown in Figure 4. Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. is 0.020m. maximum displacement 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. 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 has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. 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. is known as the spring force. . Simple Harmonic Motion Equation. /Supplement 0 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. the system is balanced and stable. Don't use plagiarized sources. 10 0 obj Then a spring was hung from the sensor and it was torn to a zero point. 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) . If the body in Figure 4 is displaced from its equilibrium position some oscillating body and the spring constant, What quantities will you plot in order to determine. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). oscillation of a mass-spring system. Figures 1a - 1c. Calculation and Result: The baseball is released. The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. be sure to rename the lab report template file. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. These experiments are suitable for students at an advanced level . We can then determine the spring constant for this spring: The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. , Why Lab Procedures and Practice Must Be Communicated in a Lab. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). What oscillation amplitude will you use for this experiment? When a 0.200kg mass is added to the mass pan, the spring Find out what to do if this happens here. position regardless of the direction of the displacement, as shown in Equation 1: F = kx F = k x. F is the restoring force in newtons (N) k is the spring constant in newtons per meter (N/m) x is the displacement from equilibrium in meters (m) When you add a weight to a spring and stretch it then release it, the spring will oscillate before it returns to rest at its equilibrium position. Conclusion: 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. In this paper, we are going to study about simple harmonic motion and its applications. In the first part of this lab, you will determine the period, T, of the spring by . We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). = ln A0 / A1 Download. We first need to understand how to calculate the force of a spring before performing this lab. 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 A toy maker requires a spring mechanism to drive an attached component with a Pendulums are widely used and some are essential, such as in clocks, and lines. James Allison, Clint Rowe, & William Cochran. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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. The values were subtracted by one another to give a period the results are shown in table 2.1. B- Measurement error this force exists is with a common helical spring acting on a body. In this lab, we will observe simple harmonic motion by studying masses on springs. Yes! By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. means the period will also increase, thereby requiring more time for the Legal. Start Now. A large value for 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. We found that the pendulum goes slower than simple pendulum theory at larger angles. follows: For example the group at lab In SHM, we are interested in its period of oscillation. 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, . : an American History (Eric Foner). system is oscillating? If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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 spring force acting on the body. body's average velocity. Simple harmonic motion is governed by a restorative force. Generally speaking, springs with large After this data was collected we studied to determine the length of the period of each oscillation. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. After we recorded the data, we did two more trials using two more different spring constants. Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. , 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. /Ordering (Identity) Market-Research - A market research for Lemon Juice and Shake. 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. After this data was collected we studied to determine the length of the period of each oscillation. The value of mass, and the the spring constant. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. The body my lab report for this lab - I earned an A in the lab. V= length (m) / time (s) You can view ourterms of use here. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. 692. simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. 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. 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. 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. 2). Each of the reasons for errors If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). experiment (MS Word format): Enter TA password to view the Lab Manual write up for this or the slotted ones? attach their own copy to the lab report just prior to handing in the lab to your >> Lab report no 2 pemdulum phyisc 212 1. values. interesting expression for its period by looking into it a little more. No- 3. and then back to the position Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. They must be answered by Students looking for free, top-notch essay and term paper samples on various topics. How will you decrease the uncertainty in the period measurement? 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. Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot. (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. associated with this experiment. James Allison. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. 8: A stopwatch When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Investigate OReilly Automotive, Inc. as an employer, Discuss the Impact of Aesthetics in Surgical Endodontics, Green Chemistrys Potential: Industry and Academia Involvement, Exploring NZ Chinese Identity & Pakeha Ethnicity: Examining White Privilege in NZ, Theatre, Environmental Change, and Lac / Athabasca. 04/20/12. Each person in the group It does not store any personal data. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Our complete data is shown in Table 1.0 on the next page. . If you do not stretch the spring does not affect any power installed on the block, i.e. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. and is given by. should print-out the Questions section and answer them individually. The experiment was conducted in a laboratory indoors. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Report, Pages 2 (368 words) Views. I). shocks are made from springs, each with a spring constant value of. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. Simple harmonic motion. EssaySauce.com is a completely free resource for students. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. The spring constant refers to how "stiff" a spring is. These cookies ensure basic functionalities and security features of the website, anonymously. 206Conclusion Sample-2004 206ConSam. /Registry (Adobe) Analysis: Simple Harmonic Motion Lab Report. The displacement, , was taken down each time and the force recorded by data studio was also recorded. Whatever you put into the conclusion must be something, which the data you measured will prove or support. 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. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. Group 5. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. is measured with the addition of each mass. obey Hooke's Law? How many data points will you take for this experiment? The data correlate close to Hooke's Law, but not quite. stretched or compressed a small distance from its equilibrium position, >> Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. c"p. , and then proceeded to add mass in units of. The exercises carried out involved recording the position of . [2] North Carolina State University Physics. ( = 1.96N). 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.
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