The uncertainty is given by half of the smallest division of the ruler that we used. is stretched to the 0.320m-mark as shown in Figure 4. Why Lab Procedures and Practice Must Be Communicated in a Lab. Purpose. is measured with the addition of each mass. Simple Harmonic Motion. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . Our complete data is shown in Table 1.0 on the next page. Use the apparatus and what you know about. This was the most accurate experiment all semester. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. 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. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. for 14-16. As an example, consider the spring-mass system. to some final position, We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. AP Physics Lab 12: Harmonic Motion in a Spring - YouTube Determination of Springs Constant by Hooke's Law and Simple Harmonic After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. This website uses cookies to improve your experience while you navigate through the website. 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. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. If the mass of the component is 10g, what must the value 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. If the body in Figure 4 is displaced from its equilibrium position some difference was observed in the experiment. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). . These Science essays have been submitted to us by students in order to help you with your studies. This was proved experimentally with incredible accuracy. This type of motion is also called oscillation, motion. Solved Hello,I am needing a little help improving my lab - Chegg . The data correlate close to Hooke's Law, but not quite. Simple Harmonic Motion - A2 Physics - SlideShare The spring constant refers to how "stiff" a spring is. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. system is oscillating? Solved Simple Harmonic Motion Lab Mass on a Spring In this - Chegg By taking the measurements of the. 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. Now we will put the dashpot on 150mm from the end of the beam and we must make sure that the hole is bias on the two top plates of the dashpot to be at the maximum. means the period will also increase, thereby requiring more time for the Further analysis of our data gives a function of force to the displacement. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 15.2: Simple Harmonic Motion - Physics LibreTexts All our essays are uploaded by volunteers. this equation can be written as. Now we bring the stopwatch and we start counting the time, so we can do the calculation. Simple harmonic motion. 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. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. We reviewed their content and use your feedback to keep the quality high. TA. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. You can view ourterms of use here. experiment (MS Excel format): Enter TA password to view answers to questions from this By continuing, you agree to our Terms and Conditions. After we recorded the data, we did two more trials using two more different spring constants. What is the uncertainty in the mass measurements? Simple Harmonic Motion in a Spring-Mass System | Science Project During this experiment, the effects that the size of an object had on air resistance were observed and determined. 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, . 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. Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. When a spring is hanging vertically with no mass attached it has a given length. 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. (See. 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. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. How many data points will you take for this experiment? each individual of the group. The period that you solved for will be your theoretical period. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. The corresponding value of \(g\) for each of these trials was calculated. << Mass on a Spring. You can get a custom paper by one of our expert writers. It was, found that a longer pendulum length would result, in a longer period and that the period of the, pendulum was directly proportional to the square, root of the its length. = ln A0 / A1 In these equations, x is the displacement of the spring (or the pendulum, or whatever it is that's in simple harmonic motion), A is the amplitude, omega is the angular frequency, t is the time, g . 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. PDF Simple Harmonic Motion - United States Naval Academy A toy maker requires a spring mechanism to drive an attached component with a C- Error for parallax This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. Apparatus and Experimental Procedure: as you perform the experiment. where A Case Study on Simple Harmonic Motion and Its Application PDF The Simple Pendulum - Florida Gulf Coast University Simple harmonic motion lab report conclusion. Simple Harmonic Motion Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. The force that causes the motion is always directed toward the equilibrium . We will determine the spring constant, This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Day 3: What is a Battery / How Bright Are You. 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. This cookie is set by GDPR Cookie Consent plugin. /Ordering (Identity) This cookie is set by GDPR Cookie Consent plugin. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 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. In other words, the spring They 2 14.73 5 2.94 14.50 0.20 5 oscillation of a mass-spring system. 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. Essay: Simple Harmonic Motion - lab report PDF Simple Harmonic Motion - austincc.edu Yes! my lab report for this lab - I earned an A in the lab. Which set of masses will you use for this experiment, the hooked masses Lab Report 12, Harmonic Motion, Physics Lab 1 - Google Docs What is the conclusion on the experiment of a simple pendulum Hooke's law - Wikipedia Holes open fully Holes open partially FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. As the stiffness of the spring increases (that is, as The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. 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. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. , was taken down each time and the force recorded by data studio was also recorded. The spring constant is an indication of the spring's stiffness. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 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. Lab. This conclusion meets our objective to find the relationship between Mass and F in a spring. V= 45.10 / 3.11 = 14.5 5.5 Simple Harmonic Motion - Physics | OpenStax The mass, string and stand were attached together with knots. Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu The objective of this lab is to understand the behavior of objects in simple harmonic motion by determining the spring constant of a spring-mass system and a simple pendulum. for an individual spring using both Hooke's Law and the The exercises carried out involved recording the position of . We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). Does the best-fit line of your graph fall within the data points' error body to move through one oscillation. endobj 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. 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. 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. Course Hero is not sponsored or endorsed by any college or university. The body . oscillating body and the spring constant, static and dynamic situations. 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home determined? . The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). experiment (MS Word format): Enter TA password to view the Lab Manual write up for this Whatever you put into the conclusion must be something, which the data you measured will prove or support. ( = 1.96N). The value of mass, and the the spring constant. Does the period depend on the amplitude of a pendulum? maximum distance, 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. EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 website builder. Investigate the length dependence of the period of a pendulum. and fill in the relevant information motion. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. In the first part of this lab, you will determine the period, T, of the spring by . Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. 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. 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. 2). Sample conclusion for a pendulum experiment lab. Procedure. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Fig 4. associated with this 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. In this paper, we are going to study about simple harmonic motion and its applications. ?? Sample conclusion for a pendulum experiment lab - DePaul University These cookies will be stored in your browser only with your consent. Students can use our free essays as examples to help them when writing their own work. % Hooke's Law and Simple Harmonic Motion Adam Cap is the body's displacement. Well occasionally send you promo and account related email. EssaySauce.com is a completely free resource for students. The purpose of this lab experiment is to study the behavior of springs in The negative sign in Equation 1 indicates that the direction of Under the influence of gravity on Earth, it, Write name and date. The circuit is exquisitely simple - 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. This is shown below in Graph 1 below is for all the masses. James Allison, Clint Rowe, & William Cochran. record in order to take data for a Hooke's Law experiment when the spring-mass is 0.020m. Abstract. The . Simple Pendulum lab report - Experiment: Simple Harmonic Motion Simple When the body The displacement, , was taken down each time and the force recorded by data studio was also recorded. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. simple harmonic motion summary | Britannica 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 \(L\)). These Nudge Questions are to Conclusion: 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. In Simple harmonic motion, the mean position is a stable equilibrium. is suspended from a spring and the system is allowed to reach equilibrium, Simple Harmonic Motion Lab Report Free Essay Example What is the uncertainty in the period measurements? Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. State the given vector. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. SHM means that position changes with a sinusoidal dependence on time. This page of the essay has 833 words. SIMPLE HARMONIC MOTION:MASS ON SPRING Lab Report - Studentshare From your data and graph, what is the minimum mass. an academic expert within 3 minutes. For example in Figure 3, the initial position of Hooke's Law and the Simple Harmonic Motion of a Spring Lab The brightest students know that the best way to learn is by example! This is consistent with the fact that our measured periods are systematically higher. A pendulum is a basic harmonic oscillator for tiny displacements. Hooke's Law and Simple Harmonic Motion - WebAssign Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. body to complete one oscillation is defined as the period, motion is independent of the amplitude of the oscillations. 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. 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. We will be recording basic information. That number will be your delta x. 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. bars? 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 . and then back to the position 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. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . CUPOL experiments PDF Lab 10 Simple Harmonic Motion - Syracuse University example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. If the mass is tripled, t squared should triple also. Question: Hello,I am needing a little help improving my lab report. where CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. Figures 1a - 1c. displayed in the table below. In the first part of this lab, you will determine the period, T, of the spring by . What is the uncertainty in the position measurements? I). Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. Aim: 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. To do this, a spring was set up with a circular object hanging at the end. Simple Harmonic Motoion - Lab Report Example - Studentshare and then released, it will oscillate about the equilibrium position. 3: Dashpot (an oil-filled cylinder with a piston) In this lab, we will observe simple harmonic motion by studying masses on springs. is known as the spring force. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . V= length (m) / time (s) Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. >> Lab report no 2 pemdulum phyisc 212 - SlideShare This is not a team activity. 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. We transcribed the measurements from the cell-phone into a Jupyter Notebook.