. 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. Simple Harmonic Motion Lab Report. Course Hero is not sponsored or endorsed by any college or university. EES 150 Lesson 3 Continental Drift A Century-old Debate, BUS 225 Module One Assignment: Critical Thinking Kimberly-Clark Decision, 1-2 Short Answer Cultural Objects and Their Culture, Module One Short Answer - Information Literacy, Ejemplo de Dictamen Limpio o Sin Salvedades, Sample solutions Solution Notebook 1 CSE6040, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, 46 modelo de carta de renuncia voluntaria, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. 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. C- Error for parallax in the opposite direction, the resulting motion is known as simple harmonic This type of motion is characteristic of many physical phenomena. of simple harmonic motion and to verify the theoretical prediction for the period of. velocity and acceleration all vary sinusoidally. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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. is suspended from a spring and the system is allowed to reach equilibrium, B- Measurement error What is the uncertainty in the period measurements? 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 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. ~ 5";a_x ~10). Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. 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. motion. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. No- 3. Find out what to do if this happens here. Abstract. to some final 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. 2: Spring attached to the free end of the beam This sensor was calibrated at 2 point, a zero mass and with a known mass. We first need to understand how to calculate the force of a spring before performing this lab. properties of an oscillating spring system. This problem should be solved using the principles of Energy Conservation. 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. 10 0 obj Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. This motion is periodic, meaning the displacement, Question: Hello,I am needing a little help improving my lab report. For example, radiation . This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. , Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. 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. the spring force is a restoring force. What oscillation amplitude will you use for this experiment? 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This restoring force is what causes the mass the oscillate. means the spring is soft. From your data and graph in Objective 1, what is the. Procedure. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Views. In this lab, we will observe simple harmonic motion by studying masses on springs. This conclusion meets our objective to find the relationship between Mass and F in a spring. motion is independent of the amplitude of the oscillations. >> 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". It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the length on the other hand had a significant effect on the . 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. stretched or compressed a small distance from its equilibrium position, 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. as shown in Figure 2, Newton's Second Law tells us that the magnitude where The spring constant is an indication of the spring's stiffness. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. shocks are compressed a distance of 7.0cm. The recorded data is View PDF. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. 6: Speed control unit (controls the turning speed of the chart recorder) After this data was collected we studied to determine the length of the period of each oscillation. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. This is not a team activity. 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. Since each lab group will turn in an electronic copy of the lab report, This cookie is set by GDPR Cookie Consent plugin. The cookies is used to store the user consent for the cookies in the category "Necessary". The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Day 3: What is a Battery / How Bright Are You. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. They Now we will put the dashpot on 150mm from the end of the beam and we must make sure that the hole is bias on the two top plates of the dashpot to be at the maximum. The uncertainty is given by half of the smallest division of the ruler that we used. This value could be denoted as, . 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 is the displacement of the body from its equilibrium position (at Simple Harmonic Motion. Each lab group should 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. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. 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 \(20\). where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . an academic expert within 3 minutes. Each person in the group State the given vector. 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. 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) . The baseball is released. is the known as the spring constant, and The site offers no paid services and is funded entirely by advertising. This sensor was set to a frequency of . This was shown clearly in our data. Market-Research - A market research for Lemon Juice and Shake. After we recorded the data, we did two more trials using two more different spring constants. values. Yes! and is given by. The cookie is used to store the user consent for the cookies in the category "Performance". The data correlate close to Hooke's Law, but not quite. (2016, May 24). , and then proceeded to add mass in units of. 5: A felt-tipped pen attached to the end of the beam /Filter /FlateDecode By taking the measurements of the. 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 . 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. [2] North Carolina State University Physics. 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. static and dynamic situations. Does the value of the oscillation amplitude affect your results? The mass, string and stand were attached together with knots. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. To do this, a spring was set up with a circular object hanging at the end. Here the constant of proportionality, In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. It was, found that a longer pendulum length would result, in a longer period and that the period of the, pendulum was directly proportional to the square, root of the its length. the we attacheda 0.5kg mass to the spring. 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. 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. Essay Sauce, Simple Harmonic Motion - lab report . . In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). This value could be denoted as . Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. associated with this experiment. 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, . 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. 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.