* This essay may have been previously published on Essay.uk.com at an earlier date. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. This period is defined as where, . force always acts to restore, or return, the body to the equilibrium We first need to understand how to calculate the force of a spring before performing this lab. Question: Hello,I am needing a little help improving my lab report. 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. . This sensor was set to a frequency of. 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We achieved percent error of only. this force exists is with a common helical spring acting on a body. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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. body to complete one oscillation is defined as the period, From your data and graph, what is the minimum mass. 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. They It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. When a box of unknown mass is placed into the trunk of a car, both rear (See. - 8:30 p.m. April 2016 7: A ruler follows: For example the group at lab 1. F=1/T A Case Study on Simple Harmonic Motion and Its Application Sample conclusion for a pendulum experiment lab. of the spring force equals the weight of the body, . Abstract. 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For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. attach their own copy to the lab report just prior to handing in the lab to your we say that the mass has moved through one cycle, or oscillation. I). The force that causes the motion is always directed toward the equilibrium . These experiments are suitable for students at an advanced level . Views. and my lab report for this lab - I earned an A in the lab. 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 corresponding value of \(g\) for each of these trials was calculated. But opting out of some of these cookies may affect your browsing experience. 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. Does the value of the oscillation amplitude affect your results? ?? The value of mass, and the the spring constant. 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. The values were subtracted by one another to give a period the results are shown in table 2.1. What mass values will you use for this experiment? If the mass is tripled, t squared should triple also. and then Add to Home Screen. 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. values can balance larger forces than springs with low difference was observed in the experiment. experiences a force that is linearly proportional to its displacement but 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. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. CUPOL experiments How many data points will you take for this experiment? = ln A0 / A1 Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. This value could be denoted as, . Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. Simple Harmonic Motion. This was shown clearly in our data. << indicates that the spring is stiff. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. This problem should be solved using the principles of Energy Conservation. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Notice the period is dependent only upon the mass of the Create your website today. Our complete data is shown in Table 1.0 on the next page. This was the most accurate experiment all semester. Analysis: See Page 1. 1: Rectangular beam clamped one one end and free on the other increases), the period decreases which has the effect of increasing the By continuing, you agree to our Terms and Conditions. When a mass is added to the spring it takes the length of . To install StudyMoose App tap The cookie is used to store the user consent for the cookies in the category "Performance". First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features. /Length 33985 Simple Harmonic Motion (SHM): Definition, Formulas & Examples We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). is suspended from a spring and the system is allowed to reach equilibrium, 5: A felt-tipped pen attached to the end of the beam Each lab group should When a mass, the spring will exert a force on the body given by Hooke's Law, namely. 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 so, what equipment would you need and what parameters would you . Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance should print-out the Questions section and answer them individually. 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. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. The spring constant refers to how "stiff" a spring is. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. /Filter /FlateDecode EssaySauce.com is a completely free resource for students. is called the force constant. Conclusion Simple Harmonic Motion Lab Report. The . where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . The circuit is exquisitely simple - Group 5. 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. 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. 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. /Registry (Adobe) In a simple pendulum, moment of inertia is I = mr, so 2 T =. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.3. period of 0.50s. They must be answered by The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. as you perform the experiment. PDF Guidelines for a Physics Lab Reports - Baylor University 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 displayed in the table below. when the mass increases the frequency decreases. 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. Use the apparatus and what you know about. 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. should be answered in your lab notebook. 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. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. PDF Simple Harmonic Motion - United States Naval Academy 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. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. How is this 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. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Experiment 2 measures simple harmonic motion using a spring. 10 0 obj Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. Spring Constant Lab Report Conclusion Pdf to the minimum displacement This sensor was calibrated at 2 point, a zero mass and with a known mass. 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. View PDF. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Generally speaking, springs with large 3: Dashpot (an oil-filled cylinder with a piston) What is the uncertainty in the position measurements? 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. This cookie is set by GDPR Cookie Consent plugin. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). 6: Speed control unit (controls the turning speed of the chart recorder) During the lab assignment, the natural frequency, damping and beam oscillations are measured. Simple Harmonic Motion Equation. This cookie is set by GDPR Cookie Consent plugin. This was the most accurate experiment all semester.