EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. determine the minimum mass. 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. Physics - simple harmonic motion - University of Birmingham Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. If we assume the two rear Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. As an example, consider the spring-mass system. We will study how a mass moves and what properties of spring give the mass a predictable movement. 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. That number will be your delta x. Each of the reasons for errors 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. Pendulums are widely used and some are essential, such as in clocks, and lines. /Ordering (Identity) We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. 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. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 maximum displacement Complete Syllabus of Physics | Grade XII - Dhan Raj's BLOG Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. . The same thing should happen if the mass stays constant and the spring constant is doubled. 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. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. The recorded data is website builder. See Page 1. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. CUPOL experiments SHM means that position changes with a sinusoidal dependence on time. But this only works for small angles, about 5 or so. Analytical cookies are used to understand how visitors interact with the website. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) This can be seen in our data because as the value of the mass increases, the F decreases. we say that the mass has moved through one cycle, or oscillation. Fig 4. This restoring force is what causes the mass the oscillate. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. and fill in the relevant information We recorded these oscillations with data studio for about 10 seconds. 1 15 5 3 14.50 0.20 5 , Conversely, an increase in the body's mass = ln A0 / A1 . A pendulum is a basic harmonic oscillator for tiny displacements. 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. 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. They is measured with the addition of each mass. motion is independent of the amplitude of the oscillations. section 20362. 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. >> Once such physical system where 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. You can get a custom paper by one of our expert writers. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! When the mass travels from the Simple harmonic motion lab report conclusion. V Conclusion This Course Hero is not sponsored or endorsed by any college or university. We repeated this measurement five times. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. A pendulum is a simple set up in which a string is attached to a small bob. In Objective 1, you may wish to specifically ask the students to Students looking for free, top-notch essay and term paper samples on various topics. The mass, string and stand were attached together with knots. Course Hero is not sponsored or endorsed by any college or university. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. Simple Harmonic Motion (SHM): Definition, Formulas & Examples ( = 1.96N). What is the conclusion on the experiment of a simple pendulum 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 . To install StudyMoose App tap to the minimum displacement TA. 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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 \(L\)). Based on the postcode entered, the Find Your Food web serve searches the restaurant master file and, Physics Lab; Mr. Shields Hooke's Law & Springs - PhET Simulation Open the simulation:https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.html There are four, Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held at rest 10 meters above the ground. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . be sure to rename the lab report template file. , 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. This cookie is set by GDPR Cookie Consent plugin. The value of mass, and the the spring constant. When a mass is added to the spring it takes the length of . Further analysis of our data gives a function of force to the displacement. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. displayed in the table below. 2 14.73 5 2.94 14.50 0.20 5 We first need to understand how to calculate the force of a spring before performing this lab. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. for 14-16. ?? (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. This implies that Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. body to move through one oscillation. Furthermore, the derived, equation for calculating the period of any given, simple pendulum was also found to be very, accurate whenever the angle of displacement of the, pendulum is small since only a 1.943% percent. a) Conceptual/Theoretical Approach: However, you may visit "Cookie Settings" to provide a controlled consent. Experiment 2 measures simple harmonic motion using a spring. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. 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. The body download the Lab Report Template ;E8xhF$D0{^eQMWr.HtAL8 This is shown below in Graph 1 below is for all the masses. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. 15.2: Simple Harmonic Motion - Physics LibreTexts When an oscillating mass (as in the case of a mass bouncing on a spring) experiment (MS Word format): Enter TA password to view the Lab Manual write up for this Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. 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 . By taking the measurements of the. This type of motion is characteristic of many physical phenomena. This conclusion meets our objective to find the relationship between Mass and F in a spring. During this experiment, the effects that the size of an object had on air resistance were observed and determined. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . . means the spring is soft. Download. The law is named after 17th-century . Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). Report, Pages 2 (368 words) Views. will move back and forth between the positions c"p. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 3 14.73 5 2.94 14.50 0.20 5 The uncertainty is given by half of the smallest division of the ruler that we used. << Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. 04/20/12. /Filter /FlateDecode Essay: Simple Harmonic Motion - lab report follows: For example the group at lab At t = 0, the particle is at point P (moving towards the right . (See. 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. body to complete one oscillation is defined as the period, PDF Simple Harmonic Motion - United States Naval Academy The site offers no paid services and is funded entirely by advertising. to some final position, If you do not stretch the spring does not affect any power installed on the block, i.e. These Questions are also found in the lab write-up template. values can balance larger forces than springs with low % In the first part of this lab, you will determine the period, T, of the spring by . A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. I). At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . For the lab, we first attacheda spring to the ring stand. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. Simple Harmonic Motion. increases), the period decreases which has the effect of increasing the where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . PDF Simple Harmonic Motion - Pendulum Experiment Report 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. endobj 2). . Does the period depend on the amplitude of a pendulum? 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 summary | Britannica of the spring constant. undergoes an arbitrary displacement from some initial position, : an American History (Eric Foner). 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 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 Investigate the length dependence of the period of a pendulum. Necessary cookies are absolutely essential for the website to function properly. Explain why or why not? After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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 . The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. Don't use plagiarized sources. period of 0.50s. The period that you solved for will be your theoretical period. Lab Report 12, Harmonic Motion, Physics Lab 1 - Google Docs 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. Simple Harmonic Motion. Solved Laboratory The simple pendulunm Purpose: investigate | Chegg.com 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. By clicking Accept All, you consent to the use of ALL the cookies. Simple Harmonic Motion Lab Report. each individual of the group. the system is balanced and stable. Generally speaking, springs with large 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 \(20\). After this data was collected we studied to determine the length of the period of each oscillation. is the known as the spring constant, and We also use third-party cookies that help us analyze and understand how you use this website. First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS The data correlate close to Hooke's Law, but not quite. Based on this data, does a rubber band 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. In this lab, we will observe simple harmonic motion by studying masses on springs. position regardless of the direction of the displacement, as shown in The . This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. this equation can be written as. In order to conduct the experiment properly, must you consider the position One cycle of kinematics, including . PDF The Simple Pendulum - Florida Gulf Coast University Report On Simple Harmonic Motion | WePapers Use the apparatus and what you know about. (PDF) LAP REPORT: THE SIMPLE PENDULUM - Academia.edu The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . A low value for In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the .