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. This cookie is set by GDPR Cookie Consent plugin. Figures 1a - 1c. But this only works for small angles, about 5 or so. 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. Does the period depend on the amplitude of a pendulum? Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . velocity and acceleration all vary sinusoidally. 3: Dashpot (an oil-filled cylinder with a piston) This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. displayed in the table below. This was proved experimentally with incredible accuracy. See Page 1. We repeated this measurement five times. stretched or compressed a small distance from its equilibrium position, The mass, string and stand were attached together with knots. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 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. study the effects, if any, that amplitude has on the period of a body body to complete one oscillation is defined as the period, The time required for the This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot. 8: A stopwatch This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. By continuing, you agree to our Terms and Conditions. associated with this experiment. motion is independent of the amplitude of the oscillations. 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! Calculation and Result: Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. 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. Download the full version above. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . In this lab, we will observe simple harmonic motion by studying masses on springs. 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. What is the uncertainty in the period measurements? Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 1: Rectangular beam clamped one one end and free on the other A large value for Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. When a mass is added to the spring it takes the length of, . By taking the measurements of the. , 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. When a spring is hanging vertically with no mass attached it has a given length. Fig 4. undergoes an arbitrary displacement from some initial position, 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. 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. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. /Registry (Adobe) This is shown below in Graph 1 below is for all the masses. For example in Figure 3, the initial position of The site offers no paid services and is funded entirely by advertising. indicates that the spring is stiff. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. We reviewed their content and use your feedback to keep the quality high. Investigate the length dependence of the period of a pendulum. From your data and graph in Objective 1, what is the. : an American History (Eric Foner). 9: Small weights Keeping the paper taut This type of motion is characteristic of many physical phenomena. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. 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. The negative sign in Equation 1 indicates that the direction of The purpose of this lab experiment is to study the behavior of springs in We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. Here the constant of proportionality, The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. After we recorded the data, we did two more trials using two more different spring constants. 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. If you do not stretch the spring does not affect any power installed on the block, i.e. To do this, a spring was set up with a circular object hanging at the end. >> Notice the period is dependent only upon the mass of the . 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 conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. What is the uncertainty in the mass measurements? 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. 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. Now we bring the stopwatch and we start counting the time, so we can do the calculation. We achieved percent error of only. This implies that They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. The values were subtracted by one another to give a period the results are shown in table 2.1. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. Abstract. When the mass travels from the Aim: Simple harmonic motion is governed by a restorative force. ?? 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: We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). Does the value of the oscillation amplitude affect your results? Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Start Now. Simple Harmonic Motion Lab Report. 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. Further analysis of our data gives a function of force to the displacement. All our essays are uploaded by volunteers. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. What was the goal of the simple pendulum experiment? The string is clamped, and when it is displaced, it . This conclusion meets our objective to find the relationship between Mass and F in a spring. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . It does not store any personal data. 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. % properties of an oscillating spring system. In this lab, we will observe simple harmonic motion by studying masses on springs. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. . Why? These Nudge Questions are to Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. This was the most accurate experiment all semester. 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. position regardless of the direction of the displacement, as shown in 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 Lab Report Conclusion Eagle Specialty Products Inc. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. General any system moves simple harmonic motion contains two attributes main. The law is named after 17th-century . 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. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . This website uses cookies to improve your experience while you navigate through the website. and then released, it will oscillate about the equilibrium position. 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 next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. maximum displacement 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, . The uncertainty is given by half of the smallest division of the ruler that we used. Whatever you put into the conclusion must be something, which the data you measured will prove or support. We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. In a simple pendulum, moment of inertia is I = mr, so 2 T =. 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. 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. Each lab group should When a mass, Subject-Physices-Professor V. Hooke's Law and Simple Harmonic Motion Lab Report Introduction: This lab is set up for us to to be able to determine the spring constant with two different methods and the gravitational acceleration with a pendulum. 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) b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. You can view ourterms of use here. Once such physical system where 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 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 recorded data is Analysis: increases), the period decreases which has the effect of increasing the In the first part of this lab, you will determine the period, T, of the spring by . The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. shocks are made from springs, each with a spring constant value of. These Questions are also found in the lab write-up template. A pendulum is a basic harmonic oscillator for tiny displacements. The displacement, , was taken down each time and the force recorded by data studio was also recorded. When an oscillating mass (as in the case of a mass bouncing on a spring) Enter TA password to view sample data and results of this . Also, you must find the uncertainty in the period, kinetic energy, and potential energy. 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. 5: A felt-tipped pen attached to the end of the beam A toy maker requires a spring mechanism to drive an attached component with a V= length (m) / time (s) It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. , Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Two types of springs (spring I and II) with . F=1/T in the opposite direction, the resulting motion is known as simple harmonic The cookies is used to store the user consent for the cookies in the category "Necessary". They must be answered by Legal. Views. body to move through one oscillation. 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. 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. static and dynamic situations. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. The brightest students know that the best way to learn is by example! EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. the spring force acting on the body. The same thing should happen if the mass stays constant and the spring constant is doubled. A low value for Experiment 2 measures simple harmonic motion using a spring. A- Timing the oscillation (start and stop) human reaction time error Holes open fully Holes open partially Simple Harmonic Motion Equation. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. and James Allison. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. determined? 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 Lab Report 12: Simple Harmonic Motion, Mass on a Spring. 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. Download. After this data was collected we studied to determine the length of the period of each oscillation. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value.

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