Each person should It is also possible to Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . Use the apparatus and what you know about. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. Purpose. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. Does the best-fit line of your graph fall within the data points' error 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. This value could be denoted as . Whilst simple harmonic motion is a simplification, it is still a very good approximation. Lab-Name-Rayhan Chowdhury. The . 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. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. 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. That is, if the mass is doubled, T squared should double. 04/20/12. . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) We achieved percent error of only. . 1. 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. You also have the option to opt-out of these cookies. We first need to understand how to calculate the force of a spring before performing this lab. Therefore, if we know the mass of a body at equilibrium, we can determine 1 15 5 3 14.50 0.20 5 But opting out of some of these cookies may affect your browsing experience. This motion is periodic, meaning the displacement, This was proved experimentally with incredible accuracy. attach their own copy to the lab report just prior to handing in the lab to your Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). James Allison, Clint Rowe, & William Cochran. Does the value of the oscillation amplitude affect your results? 2). 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. /Ordering (Identity) Attached will be the lab experiment we did and the results I recorded. % How many data points will you take for this experiment? is stretched to the 0.320m-mark as shown in Figure 4. my lab report for this lab - I earned an A in the lab. Necessary cookies are absolutely essential for the website to function properly. record in order to take data for a Hooke's Law experiment when the spring-mass This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. It should be noted that the period of OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. . The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. motion is independent of the amplitude of the oscillations. The exercises carried out involved recording the position of . In this lab, we will observe simple harmonic motion by studying masses on springs. body to complete one oscillation is defined as the period, 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. What is the uncertainty in the mass measurements? This value could be denoted as, . b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. 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. /Length1 81436 The corresponding value of \(g\) for each of these trials was calculated. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Since each lab group will turn in an electronic copy of the lab report, Two types of springs (spring I and II) with . maximum distance, We built the pendulum with a length \(L=1.0000\pm 0.0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. 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. is the known as the spring constant, and is always opposite the direction of the displacement. is measured with the addition of each mass. The law is named after 17th-century . CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. Mass on a Spring. as you perform the experiment. to the minimum displacement 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. These cookies ensure basic functionalities and security features of the website, anonymously. The mass, string and stand were attached together with knots. Each of the reasons for errors By taking the measurements of the. 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. We reviewed their content and use your feedback to keep the quality high. and The circuit is exquisitely simple - For the lab, we first attacheda spring to the ring stand. (2016, May 24). They must be answered by Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. From your data and graph, what is the minimum mass. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. of the spring constant. We also use third-party cookies that help us analyze and understand how you use this website. 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. website builder. Conclusion: 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. study the effects, if any, that amplitude has on the period of a body In the first part of this lab, you will determine the period, T, of the spring by . ?? 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. We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. When a mass is added to the spring it takes the length of, . undergoes an arbitrary displacement from some initial position, Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? . Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . 692. , and then proceeded to add mass in units of. and then back to the position Which set of masses will you use for this experiment, the hooked masses and counted the cycles, and the last partner had timed the process. James Allison. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. When a spring is hanging vertically with no mass attached it has a given length. * This essay may have been previously published on Essay.uk.com at an earlier date. Here the constant of proportionality, This website uses cookies to improve your experience while you navigate through the website. For example in Figure 3, the initial position of Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. This was the most accurate experiment all semester. 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 TA. 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. D- Pend casing extra damping In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The site offers no paid services and is funded entirely by advertising. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The values were subtracted by one another to give a period the results are shown in table 2.1. This restoring force is what causes the mass the oscillate. Apparatus and Experimental Procedure: To install StudyMoose App tap In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. This was shown clearly in our data. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). Calculation and Result: 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. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. 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Views. velocity and acceleration all vary sinusoidally. The spring force must balance the weight of the added mass experiment (MS Excel format): Enter TA password to view answers to questions from this values. EssaySauce.com is a completely free resource for students. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. experiencing simple harmonic motion. In order to conduct the experiment properly, must you consider the position Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. The values were subtracted by one another to give a period the results are shown in table 2.1. We will study how a mass moves and what properties of spring give the mass a predictable movement. 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. is 0.020m. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). The cookie is used to store the user consent for the cookies in the category "Analytics".
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