The string is clamped, and when it is displaced, it . Analysis: Question: Hello,I am needing a little help improving my lab report. endobj The spring force must balance the weight of the added mass 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. Don't use plagiarized sources. Then a spring was hung from the sensor and it was torn to a zero point. I need help with understanding the purpose of this lab. When the body That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. section 20362. The data correlate close to Hooke's Law, but not quite. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. Abstract. %PDF-1.7 Yes! For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. 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 \(L\)). Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 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. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. this force exists is with a common helical spring acting on a body. In this lab, we will observe simple harmonic motion by studying masses on springs. What oscillation amplitude will you use for this experiment? ~ 5";a_x ~10). my lab report for this lab - I earned an A in the lab. For the lab, we first attacheda spring to the ring stand. Why? Purpose. This was proved experimentally with incredible accuracy. 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. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 where The cookie is used to store the user consent for the cookies in the category "Analytics". The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). If we assume the two rear 206Conclusion Sample-2004 206ConSam. 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. You can get a custom paper by one of our expert writers. Notice the period is dependent only upon the mass of the The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. 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. 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If the spring is should be answered in your lab notebook. 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. is the known as the spring constant, and This restoring force is what causes the mass the oscillate. Start Now. , Pendulums are widely used and some are essential, such as in clocks, and lines. , (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. 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These Nudge Questions are to This is shown below in Graph 1 below is for all the masses. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). 1. experiment (MS Word format): As of now, there are no When the mass travels from the Investigate OReilly Automotive, Inc. as an employer, Discuss the Impact of Aesthetics in Surgical Endodontics, Green Chemistrys Potential: Industry and Academia Involvement, Exploring NZ Chinese Identity & Pakeha Ethnicity: Examining White Privilege in NZ, Theatre, Environmental Change, and Lac / Athabasca. 5: A felt-tipped pen attached to the end of the beam . Simple harmonic motion. download the Lab Report Template 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. A pendulum is a simple set up in which a string is attached to a small bob. determine the minimum mass. /Length1 81436 For small angle, we can write the equation of motion of the bob as L x a g sin g (1) In a simple harmonic motion, acceleration is . TA. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. Simple Harmonic Motion Lab Report. 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. 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This was the most accurate experiment all semester. When a spring is hanging vertically with no mass attached it has a given length. 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. The site offers no paid services and is funded entirely by advertising. 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 . Two types of springs (spring I and II) with . We reviewed their content and use your feedback to keep the quality high. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. bars? When a mass, - 8:30 p.m. April 2016 of the spring constant. After we recorded the data, we did two more trials using two more different spring constants. 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. >> A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . We do NOT offer any paid services - please don't ask! These cookies ensure basic functionalities and security features of the website, anonymously. In the first part of this lab, you will determine the period, T, of the . 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. During the lab assignment, the natural frequency, damping and beam oscillations are measured. By taking the measurements of the. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . Does the best-fit line of your graph fall within the data points' error What is the uncertainty in the period measurements? EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. 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. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. This motion is periodic, meaning the displacement, In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. Use the apparatus and what you know about. : an American History (Eric Foner). 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. body to complete one oscillation is defined as the period, 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. Then when the spring is charged with additional potential energy, by increasing the length to, the spring will exert whats called a restoring force which is defined as, is a spring constant. study the effects, if any, that amplitude has on the period of a body Report, Pages 2 (368 words) Views. Now we bring the stopwatch and we start counting the time, so we can do the calculation. In this lab, we will observe simple harmonic motion by studying masses on springs. Apparatus and Experimental Procedure: Simple Harmonic Motion Lab Report. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. ;E8xhF$D0{^eQMWr.HtAL8 Abstract. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). This was the most accurate experiment all semester. These cookies will be stored in your browser only with your consent. record in order to take data for a Hooke's Law experiment when the spring-mass Fig 4. This restoring force is what causes the mass the oscillate. , and then proceeded to add mass in units of. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. 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. 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. F_s = -kx F s = kx. 692. The purpose of this lab experiment is to study the behavior of springs in The equation for a pendulum that relates the variables involved is: 2 f =. is always opposite the direction of the displacement. oscillating in a simple harmonic motion (SHM). It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . is called the force constant. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. a) Conceptual/Theoretical Approach: D- Pend casing extra damping In order to measure simple harmonic motion, there are two traits needed: . The cookie is used to store the user consent for the cookies in the category "Other. 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. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . The experiment was conducted in a laboratory indoors. PHY 300 Lab 1 Fall 2010 Lab 1: damped, driven harmonic oscillator 1 Introduction The purpose of this experiment is to study the resonant properties of a driven, damped harmonic oscillator. (2016, May 24). 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. This is not a team activity. James Allison, Clint Rowe, & William Cochran. Simple Harmonic Motion. Explain why or why not? How many data points will you take for this experiment? should print-out the Questions section and answer them individually. 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 . Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. In a simple pendulum, moment of inertia is I = mr, so 2 T =. A large value for The time required for the ( = 1.96N). This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. V= length (m) / time (s) experiment (MS Excel format): Enter TA password to view answers to questions from this 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 we attacheda 0.5kg mass to the spring. Our complete data is shown in Table 1.0 on the next page. = 0 ). 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 They Lab. Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance The spring constant is an indication of the spring's stiffness. 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. and fill in the relevant information interesting expression for its period by looking into it a little more. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. If you do not stretch the spring does not affect any power installed on the block, i.e. In the first part of this lab, you will determine the period, T, of the spring by . We will determine the spring constant, It does not store any personal data. 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. A- Timing the oscillation (start and stop) human reaction time 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. CUPOL experiments , of simple harmonic motion and to verify the theoretical prediction for the period of. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. From your data and graph in Objective 1, what is the. position regardless of the direction of the displacement, as shown in Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. 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. of the spring force equals the weight of the body, Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. difference was observed in the experiment. 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. Lab-Name-Rayhan Chowdhury. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Let the mean position of the particle be O. Each person in the group This cookie is set by GDPR Cookie Consent plugin. By continuing, you agree to our Terms and Conditions. It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. 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. 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. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m.

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