simple harmonic motion lab report conclusion

We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. The corresponding value of \(g\) for each of these trials was calculated. If we assume the two rear For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. It is also possible to experiment (MS Excel format): Enter TA password to view answers to questions from this indicates that the spring is stiff. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. ?? example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. . is known as the spring force. This implies that the system is balanced and stable. and then released, it will oscillate about the equilibrium position. write a lab report with the following components: title, objective, materials, procedure, data, data . . Remember. 692. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. Students looking for free, top-notch essay and term paper samples on various topics. = 0 ). Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. Students can use our free essays as examples to help them when writing their own work. A pendulum is a simple set up in which a string is attached to a small bob. This type of motion is also called oscillation, motion. is the displacement of the body from its equilibrium position (at D- Pend casing extra damping to some final position, 1: Rectangular beam clamped one one end and free on the other The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. We will be recording basic information. The naming convention is as If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). 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. Our complete data is shown in Table 1.0 on the next page. They We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Figures 1a - 1c. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . Analytical cookies are used to understand how visitors interact with the website. interesting expression for its period by looking into it a little more. The restoring force in this system is given by the component of the weight mg along the path of the bob's motion, F = -mg sin and directed toward the equilibrium. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. How is this No- 3. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). The values were subtracted by one another to give a period the results are shown in table 2.1. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 1 15 5 3 14.50 0.20 5 where By taking the measurements of the. We will determine the spring constant, % attach their own copy to the lab report just prior to handing in the lab to your Simple Harmonic Motion Lab Report. 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. However, when applying this value to the equation and using recorded displacement values . Does the best-fit line of your graph fall within the data points' error . What was the goal of the simple pendulum experiment? Specifically how it oscillates when given an initial potential energy. oscillating in a simple harmonic motion (SHM). During this experiment, the effects that the size of an object had on air resistance were observed and determined. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. Holes open fully Holes open partially This was proved experimentally with incredible accuracy. 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. undergoes an arbitrary displacement from some initial position, What quantities will you plot in order to determine. will move back and forth between the positions Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 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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. 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. In Objective 1, you may wish to specifically ask the students to Each person should Views. Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. and then Add to Home Screen. Simple Harmonic Motion. oscillation of a mass-spring system. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. These experiments are suitable for students at an advanced level . Apparatus and Experimental Procedure: We reviewed their content and use your feedback to keep the quality high. Mass is added to a vertically hanging rubber band and the displacement This cookie is set by GDPR Cookie Consent plugin. the spring will exert a force on the body given by Hooke's Law, namely. , 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. We also use third-party cookies that help us analyze and understand how you use this website. 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. S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) This sensor was set to a frequency of . Simple harmonic motion. This value could be denoted as . However, you may visit "Cookie Settings" to provide a controlled consent. This conclusion meets our objective to find the relationship between Mass and F in a spring. Does the period depend on the amplitude of a pendulum? These cookies track visitors across websites and collect information to provide customized ads. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . , static and dynamic situations. This is consistent with the fact that our measured periods are systematically higher. This was shown clearly in our data. Download Free PDF. Simple Harmonic Motion Equation. That is, if the mass is doubled, T squared should double. 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. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. These cookies will be stored in your browser only with your consent. V. Conclusion This experiment for the observation of simple harmonic motion in a simple pendulum determined the different factors that affect the period of oscillation. Notice the period is dependent only upon the mass of the It does not store any personal data. (download the rest of the essay above). is the known as the spring constant, and an academic expert within 3 minutes. Explain why or why not? Our complete data is shown in Table 1.0 on the next page. The spring constant refers to how "stiff" a spring is. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. We transcribed the measurements from the cell-phone into a Jupyter Notebook. 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. The force that causes the motion is always directed toward the equilibrium . Investigate the length dependence of the period of a pendulum. 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. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. In this lab, we will observe simple harmonic motion by studying masses on springs. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . From your data and graph in Objective 1, what is the. , and then proceeded to add mass in units of. 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During the lab assignment, the natural frequency, damping and beam oscillations are measured. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. This was shown clearly in our data. 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. = ln A0 / A1 The best examples of simple harmonic motion are installed bloc in the spring. CUPOL experiments The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . 5: A felt-tipped pen attached to the end of the beam I). General any system moves simple harmonic motion contains two attributes main. /Ordering (Identity) This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value.