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. But this only works for small angles, about 5 or so. The . Report, Pages 2 (368 words) Views. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. 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 . SIMPLE HARMONIC MOTION:MASS ON SPRING Lab Report - Studentshare These Science essays have been submitted to us by students in order to help you with your studies. How many data points will you take for this experiment? For the lab, we first attacheda spring to the ring stand. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 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. This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. 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. V= 45.10 / 3.11 = 14.5 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. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. is measured with the addition of each mass. Enter TA password to view sample data and results of this Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. ( = 1.96N). table #5 working on the Ideal Gas Law experiment would rename their template file will move back and forth between the positions Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com Damped Harmonic Motion Lab Report. Students looking for free, top-notch essay and term paper samples on various topics. 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). After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . >> This implies that Don't use plagiarized sources. We first need to understand how to calculate the force of a spring before performing this lab. In the first part of this lab, you will determine the period, T, of the . velocity and acceleration all vary sinusoidally. 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. Since each lab group will turn in an electronic copy of the lab report, we say that the mass has moved through one cycle, or oscillation. The mass, string and stand were attached together with knots. >> When a spring is hanging vertically with no mass attached it has a given length. an academic expert within 3 minutes. View PDF. In other words, the spring Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". . should be answered in your lab notebook. << Determination of Springs Constant by Hooke's Law and Simple Harmonic . Create your website today. B- Measurement error We found that the pendulum goes slower than simple pendulum theory at larger angles. Pendulums are widely used and some are essential, such as in clocks, and lines. A Case Study on Simple Harmonic Motion and Its Application be answered by your group and checked by your TA as you do the lab. shocks are compressed a distance of 7.0cm. PDF Lab 1: damped, driven harmonic oscillator 1 Introduction Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. We will determine the spring constant, A pendulum is a basic harmonic oscillator for tiny displacements. What are the sources of errors in a simple pendulum experiment - Quora 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. 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. Hooke's Law and the Simple Harmonic Motion of a Spring Lab Investigate the length dependence of the period of a pendulum. Simple Harmonic Motoion - Lab Report Example - Studentshare Therefore the displacement The time required for the 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. The value of mass, and the the spring constant. Essay Sauce, Simple Harmonic Motion - lab report . If the mass is tripled, t squared should triple also. They must be answered by for 14-16. See Page 1. where Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. /Ordering (Identity) Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Physics - simple harmonic motion - University of Birmingham Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. These cookies will be stored in your browser only with your consent. This was the most accurate experiment all semester. We can then determine the spring constant for this spring: The equation for a pendulum that relates the variables involved is: 2 f =. This motion is periodic, meaning the displacement, The best examples of simple harmonic motion are installed bloc in the spring. 5.5 Simple Harmonic Motion - Physics | OpenStax 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. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. is the known as the spring constant, and How is this The baseball is released. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. What mass values will you use for this experiment? or the slotted ones? In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. A pendulum is a simple set up in which a string is attached to a small bob. and then back to the position Day 3: What is a Battery / How Bright Are You. When a mass is added to the spring it takes the length of, . 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. Does Hooke's Law apply to an oscillating spring-mass system? In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. is called the force constant. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Then a spring was hung from the sensor and it was torn to a zero point. Simple Harmonic Motion Lab Report - 545 Words | Studymode When a mass, 5: A felt-tipped pen attached to the end of the beam Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. You also have the option to opt-out of these cookies. In Simple harmonic motion, the mean position is a stable equilibrium. The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. PDF Simple Harmonic Motion - United States Naval Academy The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. These Nudge Questions are to . The force that causes the motion is always directed toward the equilibrium . 2 14.73 5 2.94 14.50 0.20 5 PDF Simple Harmonic Motion and Damping - Gatech.edu Simple harmonic motion lab report conclusion. V Conclusion This Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. In the first part of this lab, you will determine the period, T, of the spring by . Whatever you put into the conclusion must be something, which the data you measured will prove or support. 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. Download the full version above. (download the rest of the essay above). static and dynamic situations. stream values can balance larger forces than springs with low Experiment 2 measures simple harmonic motion using a spring. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of \(g\): \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. difference was observed in the experiment. As the stiffness of the spring increases (that is, as In part two of this lab, you will attach a spring on either side of a sliding mass on a frictionless air track and have a photo gate measure the period as the mass oscillates. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Simple Harmonic Motion of a Pendulum - UKEssays The body Does the value of the oscillation amplitude affect your results? D- Pend casing extra damping If an applied force varies linearly with position, the force can be defined as Each person in the group PDF Lab 10 Simple Harmonic Motion - Syracuse University This sensor was set to a frequency of. the body is 0.300m. Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum By continuing, you agree to our Terms and Conditions. This website uses cookies to improve your experience while you navigate through the website. 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We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). This is consistent with the fact that our measured periods are systematically higher. Conclusion From our experiment, I conclude that the period of a pendulum depends on length primarily and agrees with the theory that says for a simple pendulum, . If the mass of the component is 10g, what must the value

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