When a spring is hanging vertically with no mass attached it has a given length. The circuit is exquisitely simple - 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. obey Hooke's Law? In a simple pendulum, moment of inertia is I = mr, so 2 T =. V= 45.10 / 3.11 = 14.5 If the body in Figure 4 is displaced from its equilibrium position some Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. A low value for In this experiment the mass will be described as a function of time and the results will be used to plot the kinetic and potential energies of the system. What was the goal of the simple pendulum experiment? By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. of the spring constant. Calculation and Result: The rest of the first part requires you to add 20 grams to the hanging mass and then measuring how far the sliding mass has moved for the equilibrium position. as shown in Figure 2, Newton's Second Law tells us that the magnitude Further analysis of our data gives a function of force to the displacement. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. Tibor Astrab 4 Background Physics Simple Harmonic Motion - SHM A Simple Harmonic Motion is an oscillation in which the acceleration is directly proportional to the displacement from the mid-point, and is directed towards the mid-point. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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. Lab report no 2 pemdulum phyisc 212 1. The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. where The cookie is used to store the user consent for the cookies in the category "Performance". For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). By continuing, you agree to our Terms and Conditions. Let the mean position of the particle be O. 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. If an applied force varies linearly with position, the force can be defined as . 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We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. Then a spring was hung from the sensor and it was torn to a zero point. 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. These cookies will be stored in your browser only with your consent. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. Type your requirements and Ill connect you to Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. the body is 0.300m. The cookie is used to store the user consent for the cookies in the category "Other. and It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. In Simple harmonic motion, the mean position is a stable equilibrium. 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. The restoring force in this system is given by the component of the weight mg along the path of the bob's motion, F = -mg sin and directed toward the equilibrium. 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, . Remember. This was the most accurate experiment all semester. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. Explain why or why not? /Length 33985 as you perform the experiment. For example in Figure 3, the initial position of is called the force constant. After this data was collected we studied to determine the length of the period of each oscillation. Report, Pages 2 (368 words) Views. For the lab, we first attacheda spring to the ring stand. Use the apparatus and what you know about. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. To install StudyMoose App tap of the spring force equals the weight of the body, . Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. body to move through one oscillation. Figures 1a - 1c. If so, what equipment would you need and what parameters would you ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. - 8:30 p.m. April 2016 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. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. What is the uncertainty in the mass measurements? Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. difference was observed in the experiment. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). We will study how a mass moves and what properties of spring give the mass a predictable movement. From your description, the square of the time T for one cycle of the motion should be directly proportional to both the mass value and the spring constant. is known as the spring force. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. These experiments are suitable for students at an advanced level . Also, you must find the uncertainty in the period, kinetic energy, and potential energy. and counted the cycles, and the last partner had timed the process. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? and is given by. This page of the essay has 833 words. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . 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 sensor was set to a frequency of. 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. We transcribed the measurements from the cell-phone into a Jupyter Notebook. the spring force is a restoring force. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 The negative sign in Equation 1 indicates that the direction of What is the uncertainty in your value for. 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. This problem should be solved using the principles of Energy Conservation. In order to minimize the uncertainty in the period, we measured the time for the pendulum to make \(20\) oscillations, and divided that time by \(20\). 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. 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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 . In this lab, we will observe simple harmonic motion by studying masses on springs. These Questions are also found in the lab write-up template. V= length (m) / time (s) The displacement, , was taken down each time and the force recorded by data studio was also recorded. The purpose of this lab experiment is to study the behavior of springs in We found that the pendulum goes slower than simple pendulum theory at larger angles. Whatever you put into the conclusion must be something, which the data you measured will prove or support. maximum distance, 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 Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Simple harmonic motion is governed by a restorative force. Aim: , C- Error for parallax Abstract. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. In this lab, we will observe simple harmonic motion by studying masses on springs. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. The experiment was conducted in a laboratory indoors. as "5 Gas Law.doc". PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS each individual of the group. This was shown clearly in our data. 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. When the mass travels from the Notice the period is dependent only upon the mass of the We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Since each lab group will turn in an electronic copy of the lab report, SHM means that position changes with a sinusoidal dependence on time. 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. The spring constant refers to how "stiff" a spring is. 10 0 obj force always acts to restore, or return, the body to the equilibrium This implies that body's average velocity. ~ 5";a_x ~10). stream determine the minimum mass. Simple Harmonic Motion Equation. /Supplement 0 EssaySauce.com is a completely free resource for students. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. and then back to the position Well occasionally send you promo and account related email. 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 . A large value for All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. Does the period depend on the amplitude of a pendulum? Our complete data is shown in Table 1.0 on the next page. 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. system is oscillating? In the first part of this lab, you will determine the period, T, of the . Here the constant of proportionality, 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. This website uses cookies to improve your experience while you navigate through the website. James Allison, Clint Rowe, & William Cochran. No- 3. 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. Fig 4. period of 0.50s. The value of mass, and the the spring constant. displayed in the table below. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. They must be answered by If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). velocity and acceleration all vary sinusoidally. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). From your data and graph in Objective 1, what is the. 5: A felt-tipped pen attached to the end of the beam This sensor was calibrated at 2 point, a zero mass and with a known mass. Necessary cookies are absolutely essential for the website to function properly. 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. values can balance larger forces than springs with low shocks are compressed a distance of 7.0cm. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . 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 suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. The exercises carried out involved recording the position of . 12 0 obj Simple Harmonic Motion. = 0 ). When block away when the subject of stability or the balance spring will exert force to return it back to the original position. THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . The brightest students know that the best way to learn is by example! When a box of unknown mass is placed into the trunk of a car, both rear Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. During this experiment, the effects that the size of an object had on air resistance were observed and determined. 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. Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Civilization and its Discontents (Sigmund Freud), Principles of Environmental Science (William P. Cunningham; Mary Ann Cunningham), Campbell Biology (Jane B. Reece; Lisa A. Urry; Michael L. Cain; Steven A. Wasserman; Peter V. Minorsky), Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), Psychology (David G. Myers; C. Nathan DeWall), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), The Methodology of the Social Sciences (Max Weber), Give Me Liberty! Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". This restoring force is what causes the mass the oscillate.
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