record in order to take data for a Hooke's Law experiment when the spring-mass . You can get a custom paper by one of our expert writers. . 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. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. The cookies is used to store the user consent for the cookies in the category "Necessary". You also have the option to opt-out of these cookies. Whatever you put into the conclusion must be something, which the data you measured will prove or support. this equation can be written as. be sure to rename the lab report template file. , be answered by your group and checked by your TA as you do the lab. As the stiffness of the spring increases (that is, as 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. This restoring force is what causes the mass the oscillate. This sensor was calibrated at 2 point, a zero mass and with a known mass. These cookies track visitors across websites and collect information to provide customized ads. What quantities will you plot in order to determine. This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. We will determine the spring constant, Further analysis of our data gives a function of force to the displacement. 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. But this only works for small angles, about 5 or so. 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. 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 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. If so, what equipment would you need and what parameters would you Introduction Simple Harmonic Motion. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . V. Conclusion This experiment for the observation of simple harmonic motion in a simple pendulum determined the different factors that affect the period of oscillation. Each person in the group 3: Dashpot (an oil-filled cylinder with a piston) Based on this data, does a rubber band However, when applying this value to the equation and using recorded displacement values . James Allison. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). values can balance larger forces than springs with low 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 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. These cookies ensure basic functionalities and security features of the website, anonymously. 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. If the mass is tripled, t squared should triple also. body to move through one oscillation. The negative sign in Equation 1 indicates that the direction of View PDF. The cookie is used to store the user consent for the cookies in the category "Analytics". If the spring is 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. , and then proceeded to add mass in units of. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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. 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. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. >> We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. experiment (MS Excel format): Enter TA password to view answers to questions from this We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. If we assume the two rear Holes open fully Holes open partially x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? You can view ourterms of use here. 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. Our complete data is shown in Table 1.0 on the next page. 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. From your data and graph, what is the minimum mass. and then Add to Home Screen. A large value for 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 This was shown clearly in our data. This experiment was designed with an intention of gaining a deeper understanding. SHM means that position changes with a sinusoidal dependence on time. What is the uncertainty in the mass measurements? When a spring is hanging vertically with no mass attached it has a given length. TA. 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 . Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Find out what to do if this happens here. is the body's displacement. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. . In this lab, we will observe simple harmonic motion by studying masses on springs. and fill in the relevant information What was the goal of the simple pendulum experiment? It is also possible to 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! Attached will be the lab experiment we did and the results I recorded. The recorded data is when the mass increases the frequency decreases. In SHM, we are interested in its period of oscillation. indicates that the spring is stiff. V= length (m) / time (s) endobj 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. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. This cookie is set by GDPR Cookie Consent plugin. Market-Research - A market research for Lemon Juice and Shake. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Give us your email address and well send this sample there. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Therefore, if we know the mass of a body at equilibrium, we can determine ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. This cookie is set by GDPR Cookie Consent plugin. A low value for Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Then a spring was hung from the sensor and it was torn to a zero point. table #5 working on the Ideal Gas Law experiment would rename their template file Calculation and Result: Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. the system is balanced and stable. Two types of springs (spring I and II) with . motion is independent of the amplitude of the oscillations. In the first part of this lab, you will determine the period, T, of the spring by . is stretched to the 0.320m-mark as shown in Figure 4. This is not a team activity. to the minimum displacement and is given by. Why Lab Procedures and Practice Must Be Communicated in a Lab. In this lab, we will observe simple harmonic motion by studying masses on springs. Download. 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. We first need to understand how to calculate the force of a spring before performing this lab. 2 14.73 5 2.94 14.50 0.20 5 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. 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. 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. . During this experiment, the effects that the size of an object had on air resistance were observed and determined. shocks are compressed a distance of 7.0cm. The time required for the 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. Does the period depend on the amplitude of a pendulum? How many data points will you take for this experiment? 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. 6: Speed control unit (controls the turning speed of the chart recorder) 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. Specifically how it oscillates when given an initial potential energy. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. To install StudyMoose App tap This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. If an applied force varies linearly with position, the force can be defined as D- Pend casing extra damping Available from: [Accessed 04-03-23]. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). This type of motion is also called oscillation, motion. 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. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . 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. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. associated with this experiment. = 0 ). Whilst simple harmonic motion is a simplification, it is still a very good approximation. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. 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. 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 will study three oscillating systems that exhibit nearly ideal simple harmonic motion. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . Each lab group should velocity and acceleration all vary sinusoidally. 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. Well occasionally send you promo and account related email. . 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. Abstract. 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, . bars? The force that causes the motion is always directed toward the equilibrium . Each person should When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Then a spring was hung from the sensor and it was torn to a zero point. 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. 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. interesting expression for its period by looking into it a little more. The site offers no paid services and is funded entirely by advertising. 04/20/12. should be answered in your lab notebook. The . The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. will move back and forth between the positions That is, if the mass is doubled, T squared should double. 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. Question: Hello,I am needing a little help improving my lab report. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 When an oscillating mass (as in the case of a mass bouncing on a spring) Notice the period is dependent only upon the mass of the 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 . Sample conclusion for a pendulum experiment lab. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. Each of the reasons for errors The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. to some final position, The value of mass, and the the spring constant.

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