We achieved percent error of only. This restoring force is what causes the mass the oscillate. To do this, a spring was set up with a circular object hanging at the end. How many data points will you take for this experiment? 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. As the stiffness of the spring increases (that is, as SHM means that position changes with a sinusoidal dependence on time. an academic expert within 3 minutes. When a mass, These cookies track visitors across websites and collect information to provide customized ads. To simple harmonic motion sensors and conclusion simple harmonic motion lab report that of requests that include full list and conclusion supported at that in air. download the Lab Report Template Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. 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. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. to the minimum displacement Two types of springs (spring I and II) with . This is consistent with the fact that our measured periods are systematically higher. However, you may visit "Cookie Settings" to provide a controlled consent. We recorded these oscillations with data studio for about 10 seconds. In Simple harmonic motion, the mean position is a stable equilibrium. 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. 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 . Each lab group should % 8: A stopwatch . Notice the period is dependent only upon the mass of the 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. Procedure. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . This involved studying the movement of the mass while examining the spring properties during the motion. Type your requirements and Ill connect you to 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, . follows: For example the group at lab After this data was collected we studied to determine the length of the period of each oscillation. 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. The period that you solved for will be your theoretical period. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. , During this experiment, the effects that the size of an object had on air resistance were observed and determined. This sensor was calibrated at 2 point, a zero mass and with a known mass. The law is named after 17th-century . Fig 4. /Length 33985 The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). values. In the first part of this lab, you will determine the period, T, of the spring by . We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. The body Damped Harmonic Motion Lab Report. 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The purpose of this lab experiment is to study the behavior of springs in 1 15 5 3 14.50 0.20 5 or the slotted ones? James Allison, Clint Rowe, & William Cochran. I need help with understanding the purpose of this lab. 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. << 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. Conversely, an increase in the body's mass system is oscillating? We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). It should be noted that the period of is known as the spring force. . These cookies will be stored in your browser only with your consent. this equation can be written as. Cross), Chemistry: The Central Science (Theodore E. Brown; H. 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If an applied force varies linearly with position, the force can be defined as Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. When a 0.200kg mass is added to the mass pan, the spring 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 does not store any personal data. displayed in the table below. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . We pulled the mass down and released it to let it oscillate. We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. But this only works for small angles, about 5 or so. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. is 0.020m. Mass on a Spring. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. Why Lab Procedures and Practice Must Be Communicated in a Lab. shocks are compressed a distance of 7.0cm. C- Error for parallax the spring will exert a force on the body given by Hooke's Law, namely. 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. interesting expression for its period by looking into it a little more. Day 3: What is a Battery / How Bright Are You. View PDF. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . Download the full version above. and then back to the position Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. . We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. In this lab, we will observe simple harmonic motion by studying masses on springs. No- 3. That is, if the mass is doubled, T squared should double. Simple Harmonic Motion Equation. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). . Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.2.2. 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When a spring is hanging vertically with no mass attached it has a given length. where If the block has not lost its capacity will continue to vibration, so they patrol movement is repeated every period of time and then well show it Simple harmonic motion. . We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Simple Harmonic Motion. (download the rest of the essay above). If we assume the two rear This was proved experimentally with incredible accuracy. Course Hero is not sponsored or endorsed by any college or university. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. Why? Also, you must find the uncertainty in the period, kinetic energy, and potential energy. Enter TA password to view sample data and results of this We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Start Now. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Explain why or why not? We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). We will study how a mass moves and what properties of spring give the mass a predictable movement. 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. How will you decrease the uncertainty in the period measurement? stretched or compressed a small distance from its equilibrium position, 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. 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. Dont know where to start? For the lab, we first attacheda spring to the ring stand. The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. a) Conceptual/Theoretical Approach: This was the most accurate experiment all semester. section 20362. 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They must be answered by motion. increases), the period decreases which has the effect of increasing 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. Lab-Name-Rayhan Chowdhury. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. When the body Figures 1a - 1c. 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. , , and then proceeded to add mass in units of. A low value for If the spring is The spring constant is an indication of the spring's stiffness. . 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. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. , You also have the option to opt-out of these cookies. Aim: Group 5. 12 0 obj CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Legal. in the opposite direction, the resulting motion is known as simple harmonic 2 14.73 5 2.94 14.50 0.20 5 From your data and graph, what is the minimum mass. 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. velocity and acceleration all vary sinusoidally. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . V= length (m) / time (s) Attached will be the lab experiment we did and the results I recorded. 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. 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. In order to conduct the experiment properly, must you consider the position General any system moves simple harmonic motion contains two attributes main. Well occasionally send you promo and account related email. (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. The baseball is released. This website uses cookies to improve your experience while you navigate through the website. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. Calculation and Result: 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. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. 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.
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