CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . ,
Then a spring was hung from the sensor and it was torn to a zero point. When the mass travels from the
For example in Figure 3, the initial position of
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. The following data for each trial and corresponding value of \(g\) are shown in the table below. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Dont know where to start? velocity and acceleration all vary sinusoidally. The cookies is used to store the user consent for the cookies in the category "Necessary". By continuing, you agree to our Terms and Conditions. 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. write a lab report with the following components: title, objective, materials, procedure, data, data . Available from:
[Accessed 04-03-23]. When a mass is added to the spring it takes the length of . We transcribed the measurements from the cell-phone into a Jupyter Notebook. These Questions are also found in the lab write-up template. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . This is consistent with the fact that our measured periods are systematically higher. Enter TA password to view sample data and results of this
This was shown clearly in our data. an academic expert within 3 minutes. ;E8xhF$D0{^eQMWr.HtAL8 2: Spring attached to the free end of the beam body to move through one oscillation. Report, Pages 2 (368 words) Views. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. The equation for a pendulum that relates the variables involved is: 2 f =. This sensor was calibrated at 2 point, a zero mass and with a known mass. 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. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. associated with this experiment. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). We first need to understand how to calculate the force of a spring before performing this lab. 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. this equation can be written as. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . /Supplement 0 For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Simple Harmonic Motion Equation. 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 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. A large value for
James Allison. This motion is periodic, meaning the displacement,
That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. How will you decrease the uncertainty in the period measurement? in the opposite direction, the resulting motion is known as simple harmonic
For the lab, we first attacheda spring to the ring stand. Download the full version above. website builder. When a mass is added to the spring it takes the length of, . Each person in the group
Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . After this data was collected we studied to determine the length of the period of each oscillation. Download. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x).
This restoring force is what causes the mass the oscillate. 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. should print-out the Questions section and answer them individually. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 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. 2). The spring constant is an indication of the spring's stiffness. Abstract. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 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 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. . 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. This cookie is set by GDPR Cookie Consent plugin. This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Which set of masses will you use for this experiment, the hooked masses
Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Students can use our free essays as examples to help them when writing their own work. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). ), { "27.01:_The_process_of_science_and_the_need_for_scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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pendulum), status page at https://status.libretexts.org. No- 3. . This was the most accurate experiment all semester. B- Measurement error 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. Mass is added to a vertically hanging rubber band and the displacement
Introduction These Science essays have been submitted to us by students in order to help you with your studies. my lab report for this lab - I earned an A in the lab. Conclusion Simple Harmonic Motion Lab Report. stretched or compressed a small distance from its equilibrium position,
21d Simple Harmonic Motion-RGC 03-03-09 - 4 - Revised: 4/8/08 Theory - Spring An example of simple harmonic motion also includes the oscillations of a mass attached to the end of a spring. This is not a team activity. Therefore, if we know the mass of a body at equilibrium, we can determine
Lab report no 2 pemdulum phyisc 212 1. This implies that
Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. This cookie is set by GDPR Cookie Consent plugin. These experiments are suitable for students at an advanced level . For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. Attached will be the lab experiment we did and the results I recorded. and is given by. We recorded these oscillations with data studio for about 10 seconds. 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. Use the apparatus and what you know about.
Don't use plagiarized sources. Procedure. . ,
is always opposite the direction of the displacement. The naming convention is as
If an applied force varies linearly with position, the force can be defined as
What mass values will you use for this experiment? 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. C- Error for parallax Another variable we care about is gravity g, and then we are able to change the equation from T to g as follows: =2 (Equation 1) . ,
Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. . properties of an oscillating spring system. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. Based on this data, does a rubber band
In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 3: Dashpot (an oil-filled cylinder with a piston) (download the rest of the essay above). This was proved experimentally with incredible accuracy. This was shown clearly in our data. 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. From your data and graph, what is the minimum mass. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). follows: For example the group at lab
experiment (MS Word format): Enter TA password to view the Lab Manual write up for this
We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). : an American History (Eric Foner). This type of motion is also called oscillation, motion. A toy maker requires a spring mechanism to drive an attached component with a
Holes open fully Holes open partially The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Does the period depend on the amplitude of a pendulum? These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. ?? However, you may visit "Cookie Settings" to provide a controlled consent. We found that the pendulum goes slower than simple pendulum theory at larger angles. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. . Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Each of the reasons for errors 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. = ln A0 / A1 and then back to the position
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.
We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. is measured with the addition of each mass. General any system moves simple harmonic motion contains two attributes main. This cookie is set by GDPR Cookie Consent plugin. Does the value of the oscillation amplitude affect your results? These cookies ensure basic functionalities and security features of the website, anonymously. Mass on a Spring. Here the constant of proportionality,
(See. In the first part of this lab, you will determine the period, T, of the . Legal. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion.
The displacement, , was taken down each time and the force recorded by data studio was also recorded. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. 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. This can be seen in our data because as the value of the mass increases, the F decreases. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 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. 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. 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. EssaySauce.com is a completely free resource for students. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . If so, what equipment would you need and what parameters would you
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. The data correlate close to Hooke's Law, but not quite. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Students looking for free, top-notch essay and term paper samples on various topics. Once such physical system where
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. It will be interesting to understand what gives the mass the oscillating property.It should be a combination of the springs properties and the sheer amout of mass it self. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. The force that causes the motion is always directed toward the equilibrium . The time required for the
The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. The cookie is used to store the user consent for the cookies in the category "Performance". 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. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. When an oscillating mass (as in the case of a mass bouncing on a spring)
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. It should be noted that the period of
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 .