Since each lab group will turn in an electronic copy of the lab report, This is not a team activity. Use the apparatus and what you know about. for 14-16. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. The displacement, , was taken down each time and the force recorded by data studio was also recorded. I need help with understanding the purpose of this lab. If we assume the two rear P14: Simple Harmonic Motion - Mass on a Spring 012-07000A p. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). . /Supplement 0 The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. undergoes an arbitrary displacement from some initial position, When a box of unknown mass is placed into the trunk of a car, both rear This experiment was designed with an intention of gaining a deeper understanding. table #5 working on the Ideal Gas Law experiment would rename their template file You also have the option to opt-out of these cookies. stream oscillating in a simple harmonic motion (SHM). The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. This type of motion is also called oscillation, motion. Necessary cookies are absolutely essential for the website to function properly. It will be interesting to understand what gives the mass the oscillating property.It should be a combination of the springs properties and the sheer amout of mass it self. In SHM, we are interested in its period of oscillation. Let the mean position of the particle be O. Purpose. In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. Simple Harmonic Motion Lab Report. James Allison, Clint Rowe, & William Cochran. The recorded data is each individual of the group. The value of mass, and the the spring constant. The period that you solved for will be your theoretical period. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. The spring constant is an indication of the spring's stiffness. Which set of masses will you use for this experiment, the hooked masses 206Conclusion Sample-2004 206ConSam. we say that the mass has moved through one cycle, or oscillation. static and dynamic situations. study the effects, if any, that amplitude has on the period of a body That is, if the mass is doubled, T squared should double. V= length (m) / time (s) We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 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 . Notice the period is dependent only upon the mass of the record in order to take data for a Hooke's Law experiment when the spring-mass This page of the essay has 833 words. At t = 0, the particle is at point P (moving towards the right . Does the value of the oscillation amplitude affect your results? Don't use plagiarized sources. as "5 Gas Law.doc". 2). The naming convention is as We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 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. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 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. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS . However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. 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. for an individual spring using both Hooke's Law and the be sure to rename the lab report template file. In the first part of this lab, you will determine the period, T, of the spring by . is suspended from a spring and the system is allowed to reach equilibrium, Whilst simple harmonic motion is a simplification, it is still a very good approximation. . , Once such physical system where 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). Attached will be the lab experiment we did and the results I recorded. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Well occasionally send you promo and account related email. 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. In a simple pendulum, moment of inertia is I = mr, so 2 T =. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. /Filter /FlateDecode I). We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. Each person in the group The spring constant refers to how "stiff" a spring is. The brightest students know that the best way to learn is by example! This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Legal. . and is given by. This value could be denoted as, . }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! This value could be denoted 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). We do NOT offer any paid services - please don't ask! based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. of the spring force equals the weight of the body, Damped Harmonic Motion Lab Report. As the stiffness of the spring increases (that is, as associated with this experiment. will move back and forth between the positions This was shown clearly in our data. This problem should be solved using the principles of Energy Conservation. 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 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 . These cookies ensure basic functionalities and security features of the website, anonymously. This was shown clearly in our data. Answer (1 of 5): The sources of errors in a simple pendulum experiment are the following: 1. human errors comes in when measuring the period using a stopwatch. a) Conceptual/Theoretical Approach: displayed in the table below. When a mass is added to the spring it takes the length of . A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. The site offers no paid services and is funded entirely by advertising. and then Add to Home Screen. 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. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. It should be noted that the period of 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. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Generally speaking, springs with large is the known as the spring constant, and 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. . 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. We achieved percent error of only. 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. Does Hooke's Law apply to an oscillating spring-mass system? This cookie is set by GDPR Cookie Consent plugin. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. 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. experiment (MS Excel format): Enter TA password to view answers to questions from this experiencing simple harmonic motion. . In the first part of this lab, you will determine the period, T, of the . [2] North Carolina State University Physics. D- Pend casing extra damping motion is independent of the amplitude of the oscillations. force always acts to restore, or return, the body to the equilibrium Enter TA password to view sample data and results of this 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. This sensor was calibrated at 2 point, a zero mass and with a known mass. or the slotted ones? The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. section 20362. Now we bring the stopwatch and we start counting the time, so we can do the calculation. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. and fill in the relevant information Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. experiment (MS Word format): As of now, there are no By continuing, you agree to our Terms and Conditions. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 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. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Give us your email address and well send this sample there. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. Each lab group should It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. This sensor was set to a frequency of. How is this . However, you may visit "Cookie Settings" to provide a controlled consent. F_s = -kx F s = kx. experiences a force that is linearly proportional to its displacement but Does the period depend on the amplitude of a pendulum? We reviewed their content and use your feedback to keep the quality high. The corresponding value of \(g\) for each of these trials was calculated. We can then determine the spring constant for this spring: Investigate the length dependence of the period of a pendulum. This period is defined as where, . where Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Analytical cookies are used to understand how visitors interact with the website. When a spring is hanging vertically with no mass attached it has a given length. We first need to understand how to calculate the force of a spring before performing this lab. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. : an American History (Eric Foner). Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Two types of springs (spring I and II) with . This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. = ln A0 / A1 Day 3: What is a Battery / How Bright Are You. The negative sign in Equation 1 indicates that the direction of Essay Sauce, Simple Harmonic Motion - lab report . endobj We also use third-party cookies that help us analyze and understand how you use this website. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. . , For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). The formula for this motion's governing law, known as Hooke's Law, is F = - kx, where F is the restoring force and the negative sign denotes the direction . The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). To do this, a spring was set up with a circular object hanging at the end. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . Conclusion: The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. You can get a custom paper by one of our expert writers.
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