simple harmonic motion lab report conclusion
Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. 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. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . is stretched to the 0.320m-mark as shown in Figure 4. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). is measured with the addition of each mass. 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. /Length1 81436 But opting out of some of these cookies may affect your browsing experience.
Investigate OReilly Automotive, Inc. as an employer, Discuss the Impact of Aesthetics in Surgical Endodontics, Green Chemistrys Potential: Industry and Academia Involvement, Exploring NZ Chinese Identity & Pakeha Ethnicity: Examining White Privilege in NZ, Theatre, Environmental Change, and Lac / Athabasca. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 Type your requirements and Ill connect you to PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. The site offers no paid services and is funded entirely by advertising. In a simple pendulum, moment of inertia is I = mr, so 2 T =. . associated with this experiment. and is given by. Conclusion Simple Harmonic Motion Lab Report. 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. Report, Pages 2 (368 words) Views. Procedure.
If so, what equipment would you need and what parameters would you
. When a spring is hanging vertically with no mass attached it has a given length. % It is also possible to
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: Why Lab Procedures and Practice Must Be Communicated in a Lab. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. ;E8xhF$D0{^eQMWr.HtAL8 body to move through one oscillation. c"p. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Available from: [Accessed 04-03-23]. Create your website today. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. This restoring force is what causes the mass the oscillate. 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. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . In this lab, we will observe simple harmonic motion by studying masses on springs. . To install StudyMoose App tap Abstract. Course Hero is not sponsored or endorsed by any college or university. This cookie is set by GDPR Cookie Consent plugin. After this data was collected we studied to determine the length of the period of each oscillation. ,
At t = 0, the particle is at point P (moving towards the right . The cookie is used to store the user consent for the cookies in the category "Performance". 7: A ruler If the mass of the component is 10g, what must the value
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. 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. to some final position,
That is, if the mass is doubled, T squared should double. 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. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Simple harmonic motion. a) Conceptual/Theoretical Approach: 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. displayed in the table below. When a box of unknown mass is placed into the trunk of a car, both rear
What quantities will you plot in order to determine. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. 2: Spring attached to the free end of the beam /Supplement 0 difference was observed in the experiment. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. In Objective 1, you may wish to specifically ask the students to
Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. It should be noted that the period of
9: Small weights Keeping the paper taut Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec Simple Harmonic Motion Equation. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 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. Then a spring was hung from the sensor and it was torn to a zero point. analysis and conclusion. /Registry (Adobe) We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. . 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. means the period will also increase, thereby requiring more time for the
(See. If the spring is
This problem should be solved using the principles of Energy Conservation. 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. Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. Simple Harmonic Motion. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Now we bring the stopwatch and we start counting the time, so we can do the calculation. Since each lab group will turn in an electronic copy of the lab report,
If you do not stretch the spring does not affect any power installed on the block, i.e. We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. Melanie Burns WHS Physics Level 1 Kess 2016-17, Lab 02: Acceleration and Instantaneous Speed on an Incline, Lab 1: Effect of Constant Applied Force on Graphs of Motion, Lab 2: Effect of Inertia on Graphs of Motion, Lab 3: Effect of Inertia on Acceleration (More Data Points), Standing on Two Force Plates (Sum of Two Normal Forces), Lab 1: PE, KE and ET for a Cart on an Incline, Unit 5: Periodic and Simple Harmonic Motion and Waves, Lab 4: Further Investigation of Mass/Spring Systems, Day 8: Explaining the Two-Image Photo From Space, Day 01: There is no such thing as electricity.
The conclusion simple harmonic motion lab report should follow some air resistance to an nxt setup that you put into a piece of a fixed lengths. Investigate the length dependence of the period of a pendulum. 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 implies that
We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). 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) Views. body's average velocity. In this lab, we will observe simple harmonic motion by studying masses on springs. Simple Harmonic Motion Lab Report. Does the best-fit line of your graph fall within the data points' error
,
B- Measurement error the system is balanced and stable. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. 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! Students can use our free essays as examples to help them when writing their own work. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. This sensor was calibrated at 2 point, a zero mass and with a known mass. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. From your data and graph in Objective 1, what is the. 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. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. body to complete one oscillation is defined as the period,
The best examples of simple harmonic motion are installed bloc in the spring.
When an oscillating mass (as in the case of a mass bouncing on a spring)
You can get a custom paper by one of our expert writers. 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. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 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. 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. website builder. , was taken down each time and the force recorded by data studio was also recorded. 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. Don't use plagiarized sources. F=1/T 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. 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. Damped Harmonic Motion Lab Report. 1. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . 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. 692. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. These cookies will be stored in your browser only with your consent. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. static and dynamic situations. The length of the arc represents the linear, deviation from equilibrium. 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 . 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 The cookies is used to store the user consent for the cookies in the category "Necessary". This type of motion is also called oscillation, motion. motion is independent of the amplitude of the oscillations. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. How will you decrease the uncertainty in the period measurement? 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. maximum displacement
The circuit is exquisitely simple - In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). A- Timing the oscillation (start and stop) human reaction time error where
Students looking for free, top-notch essay and term paper samples on various topics. The exercises carried out involved recording the position of . Start Now. section 20362. 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. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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 .
Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. See Page 1. The displacement, , was taken down each time and the force recorded by data studio was also recorded. to the minimum displacement
We recorded these oscillations with data studio for about 10 seconds. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. record in order to take data for a Hooke's Law experiment when the spring-mass
Mass on a Spring. 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 \(L\)). motion. (2016, May 24). . properties of an oscillating spring system. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). we say that the mass has moved through one cycle, or oscillation. This value could be denoted as, .
In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. Does the period depend on the amplitude of a pendulum? interesting expression for its period by looking into it a little more. Use the apparatus and what you know about. This value could be denoted as . For example in Figure 3, the initial position of
We will determine the spring constant,
As an example, consider the spring-mass system. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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. Figures 1a - 1c. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Download. It does not store any personal data. when the mass increases the frequency decreases. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . For example, radiation . (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. These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. Aim: This restoring force is what causes the mass the oscillate. What was the goal of the simple pendulum experiment? Equation 1 applies to springs that are initially unstretched. 04/20/12. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . /Length 33985 After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. In order to measure simple harmonic motion, there are two traits needed: . 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. of the spring force equals the weight of the body,
Which would be turned back into kinetic energy as the mass moved to the opposite extreme. The . James Allison. These Nudge Questions are to
What is the uncertainty in your value for. 10 0 obj The spring force must balance the weight of the added mass
The values were subtracted by one another to give a period the results are shown in table 2.1. Here the constant of proportionality,
Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 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. 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 period is defined as, For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. 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. shocks are compressed a distance of 7.0cm. This was proved experimentally with incredible accuracy. Each person in the group
3: Dashpot (an oil-filled cylinder with a piston) Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping.
The value of mass, and the the spring constant. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Does the value of the oscillation amplitude affect your results? . Let the mean position of the particle be O. A pendulum is a simple set up in which a string is attached to a small bob. Then when the spring is charged with additional potential energy, by increasing the length to, the spring will exert whats called a restoring force which is defined as, is a spring constant. 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. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. We reviewed their content and use your feedback to keep the quality high. Our complete data is shown in Table 1.0 on the next page. 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 period. 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. What is the uncertainty in the period measurements? 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. 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. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Under the influence of gravity on Earth, it, Write name and date. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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. period of 0.50s. 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. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. 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 Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Lab report no 2 pemdulum phyisc 212 1. or the change in the position; or both?
"Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. ( = 1.96N). 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. will move back and forth between the positions
For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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 .
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