obey Hooke's Law? 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. %PDF-1.7 From your data and graph in Objective 1, what is the. We also use third-party cookies that help us analyze and understand how you use this website. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Available from: [Accessed 04-03-23]. We will determine the spring constant, This sensor was set to a frequency of . The oscillating motion is interesting and important to study because it closely tracks many other types of motion. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). (download the rest of the essay above). Mass is added to a vertically hanging rubber band and the displacement Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. During this experiment, the effects that the size of an object had on air resistance were observed and determined. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. oscillation of a mass-spring system. Question: Hello,I am needing a little help improving my lab report. The variation of the time period with increasing oscillation was studied for the simple harmonic motion (SHM) and for large angle initial displacements (non-SHM). However, despite displaying clear terms on our sites, sometimes users scan work that is not their own and this can result in content being uploaded that should not have been. increases), the period decreases which has the effect of increasing the Sample conclusion for a pendulum experiment lab. What is the uncertainty in the mass measurements? D- Pend casing extra damping Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. and 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. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . 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. or the slotted ones? When the mass travels from the In this lab, we will observe simple harmonic motion by studying masses on springs. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. 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. The negative sign in Equation 1 indicates that the direction of In order to conduct the experiment properly, must you consider the position This type of motion is characteristic of many physical phenomena. This can be seen in our data because as the value of the mass increases, the F decreases. Once such physical system where 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. [2] North Carolina State University Physics. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. of the spring constant. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. . This was the most accurate experiment all semester. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. . It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. an academic expert within 3 minutes. If the mass is tripled, t squared should triple also. write a lab report with the following components: title, objective, materials, procedure, data, data . You can view ourterms of use here. What oscillation amplitude will you use for this experiment? This was shown clearly in our data. Type your requirements and Ill connect you to 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 . This is shown below in Graph 1 below is for all the masses. Views. This sensor was calibrated at 2 point, a zero mass and with a known mass. experiences a force that is linearly proportional to its displacement but The same thing should happen if the mass stays constant and the spring constant is doubled. this equation can be written as. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. B- Measurement error In a simple pendulum, moment of inertia is I = mr, so 2 T =. experiment (MS Word format): As of now, there are no This page of the essay has 833 words. Then a spring was hung from the sensor and it was torn to a zero point. This problem should be solved using the principles of Energy Conservation. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 This value could be denoted as . 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. where Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Our complete data is shown in Table 1.0 on the next page. properties of an oscillating spring system. The value of mass, and the the spring constant. 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. the spring force acting on the body. 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 spring constant is an indication of the spring's stiffness. Find out what to do if this happens here. What is the uncertainty in your value for. Mass on a Spring. 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. The naming convention is as For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. , OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. , means the spring is soft. These cookies ensure basic functionalities and security features of the website, anonymously. 5: A felt-tipped pen attached to the end of the beam In the first part of this lab, you will determine the period, T, of the spring by . A low value for Group 5. 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 . 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. 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. The spring force must balance the weight of the added mass The spring constant refers to how "stiff" a spring is. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). The cookie is used to store the user consent for the cookies in the category "Performance". is the displacement of the body from its equilibrium position (at Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. Attached will be the lab experiment we did and the results I recorded. and counted the cycles, and the last partner had timed the process. Apparatus and Experimental Procedure: 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 . 1: Rectangular beam clamped one one end and free on the other the system is balanced and stable. We will be recording basic information. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. When a 0.200kg mass is added to the mass pan, the spring James Allison. (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. 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. Conclusion Simple Harmonic Motion Lab Report. is always opposite the direction of the displacement. 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. /Length 33985 This was proved experimentally with incredible accuracy. As the stiffness of the spring increases (that is, as The equation for a pendulum that relates the variables involved is: 2 f =. for an individual spring using both Hooke's Law and the If the body in Figure 4 is displaced from its equilibrium position some This involved studying the movement of the mass while examining the spring properties during the 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. Each of the reasons for errors 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. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. 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. motion is independent of the amplitude of the oscillations. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. 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. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Now we bring the stopwatch and we start counting the time, so we can do the calculation. body to complete one oscillation is defined as the period, We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. If so, what equipment would you need and what parameters would you The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. We recorded these oscillations with data studio for about 10 seconds. These Questions are also found in the lab write-up template. The time required for the F_s = -kx F s = kx. 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. The uncertainty is given by half of the smallest division of the ruler that we used. is called the force constant. the we attacheda 0.5kg mass to the spring. Calculation and Result: Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Use the apparatus and what you know about. Equation 1 applies to springs that are initially unstretched. system is oscillating? The experiment was conducted in a laboratory indoors. The value of mass, and the the spring constant. 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. >> You also have the option to opt-out of these cookies. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). When the body of the spring force equals the weight of the body, This motion is periodic, meaning the displacement, In SHM, we are interested in its period of oscillation. a) Conceptual/Theoretical Approach: Fig 4. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f!

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simple harmonic motion lab report conclusion

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simple harmonic motion lab report conclusion