is measured with the addition of each mass. endobj FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. The value of mass, and the the spring constant. Simple Harmonic Motion. Why Lab Procedures and Practice Must Be Communicated in a Lab. Well occasionally send you promo and account related email. is 0.020m. Procedure. This cookie is set by GDPR Cookie Consent plugin. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. 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. Simple harmonic motion is governed by a restorative force. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Give us your email address and well send this sample there. /Length 33985 In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. . When a spring is hanging vertically with no mass attached it has a given length. the we attacheda 0.5kg mass to the spring. We will be recording basic information. This implies that Essay Sauce, Simple Harmonic Motion - lab report . In this lab, we will observe simple harmonic motion by studying masses on springs. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). 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. >> Day 3: What is a Battery / How Bright Are You. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Investigate the length dependence of the period of a pendulum. In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. displayed in the table below. shocks are made from springs, each with a spring constant value of. EssaySauce.com is a completely free resource for students. oscillation of a mass-spring system. 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. section 20362. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. This cookie is set by GDPR Cookie Consent plugin. The spring constant is an indication of the spring's stiffness. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . the spring will exert a force on the body given by Hooke's Law, namely. We will determine the spring constant, Whilst simple harmonic motion is a simplification, it is still a very good approximation. In the first part of this lab, you will determine the period, T, of the . as you perform the experiment. 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. experiences a force that is linearly proportional to its displacement but A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. 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 circuit is exquisitely simple - body to complete one oscillation is defined as the period, This sensor was set to a frequency of . the spring force is a restoring force. After this data was collected we studied to determine the length of the period of each oscillation. 6: Speed control unit (controls the turning speed of the chart recorder) The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . We pulled the mass down and released it to let it oscillate. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.2.2. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. maximum distance, 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. 3 14.73 5 2.94 14.50 0.20 5 How will you decrease the uncertainty in the period measurement? Lab-Name-Rayhan Chowdhury. and is given by. Course Hero is not sponsored or endorsed by any college or university. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). . position regardless of the direction of the displacement, as shown in . 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. motion is independent of the amplitude of the oscillations. This cookie is set by GDPR Cookie Consent plugin. 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 . The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. values can balance larger forces than springs with low These experiments are suitable for students at an advanced level . We recorded these oscillations with data studio for about 10 seconds. /Ordering (Identity) Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. , (download the rest of the essay above). is stretched to the 0.320m-mark as shown in Figure 4. The corresponding value of \(g\) for each of these trials was calculated. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . . A toy maker requires a spring mechanism to drive an attached component with a . Why? 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 where We also use third-party cookies that help us analyze and understand how you use this website. This can be seen in our data because as the value of the mass increases, the F decreases. 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. However, you may visit "Cookie Settings" to provide a controlled consent. [2] North Carolina State University Physics. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. CUPOL experiments The spring constant refers to how "stiff" a spring is. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. , and then proceeded to add mass in units of. This page of the essay has 833 words. The exercises carried out involved recording the position of . In Simple harmonic motion, the mean position is a stable equilibrium. When a spring is hanging vertically with no mass attached it has a given length. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding 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. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec This sensor was set to a frequency of. Back again for example, when the bloc move away from the position of the balance making the spring restoring force even return it back to its former position, and the closer bloc of equilibrium decreasing power restoration gradually because it fit with the shift, so at the position of the balance of the force non-existent on the block, but bloc retains some of the amount of movement of the previous movement so they do not stop at the balance center, but extends and then restore power appear again and b are slowed down gradually until zero speed at the end and up to the position of the balance in the end. If the spring is In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. In this lab, we will observe simple harmonic motion by studying masses on springs. << should print-out the Questions section and answer them individually. Each person should 1: Rectangular beam clamped one one end and free on the other S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) Calculation and Result: A pendulum is a simple set up in which a string is attached to a small bob. and then back to the position In this paper, we are going to study about simple harmonic motion and its applications. Necessary cookies are absolutely essential for the website to function properly. Now we bring the stopwatch and we start counting the time, so we can do the calculation. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. From your data and graph, what is the minimum mass. Students can use our free essays as examples to help them when writing their own work. Damped Harmonic Motion Lab Report. B- Measurement error 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. This period is defined as, For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. V= length (m) / time (s) force always acts to restore, or return, the body to the equilibrium The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. in the opposite direction, the resulting motion is known as simple harmonic Notice the period is dependent only upon the mass of the will move back and forth between the positions is the displacement of the body from its equilibrium position (at The best examples of simple harmonic motion are installed bloc in the spring. 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. 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. Apparatus and Experimental Procedure: stream OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. In SHM, we are interested in its period of oscillation. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . associated with this experiment. % By clicking Check Writers Offers, you agree to our terms of service and privacy policy. body to move through one oscillation. , means the spring is soft. 9: Small weights Keeping the paper taut 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. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . 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. Download. Since each lab group will turn in an electronic copy of the lab report, To do this, a spring was set up with a circular object hanging at the end. and 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. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). Create your website today. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . 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. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. What mass values will you use for this experiment? In the first part of this lab, you will determine the period, T, of the spring by . Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". This was proved experimentally with incredible accuracy. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The cookie is used to store the user consent for the cookies in the category "Analytics". download the Lab Report Template That is, if the mass is doubled, T squared should double. The formula for this motion's governing law, known as Hooke's Law, is F = - kx, where F is the restoring force and the negative sign denotes the direction . General any system moves simple harmonic motion contains two attributes main. 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. After this data was collected we studied to determine the length of the period of each oscillation. 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. Figures 1a - 1c. 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. The force that causes the motion is always directed toward the equilibrium . values. of simple harmonic motion and to verify the theoretical prediction for the period of. 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. = ln A0 / A1 Sample conclusion for a pendulum experiment lab. F_s = -kx F s = kx. The cookies is used to store the user consent for the cookies in the category "Necessary". These cookies ensure basic functionalities and security features of the website, anonymously. The value of mass, and the the spring constant. Mass on a Spring. 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. 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. What is the uncertainty in your value for. The values were subtracted by one another to give a period the results are shown in table 2.1. 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. 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. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. where Download Free PDF. Here the constant of proportionality, ?? 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. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. system is oscillating? ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. By clicking Accept All, you consent to the use of ALL the cookies. Does the best-fit line of your graph fall within the data points' error 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. When a mass is added to the spring it takes the length of, . Therefore, if we know the mass of a body at equilibrium, we can determine is always opposite the direction of the displacement. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . 1. Experiment 2 measures simple harmonic motion using a spring. body's average velocity. Explain why or why not? C- Error for parallax . If an applied force varies linearly with position, the force can be defined as This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. is called the force constant. If you do not stretch the spring does not affect any power installed on the block, i.e. 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.
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