simple harmonic motion lab report conclusiondavid and kate bagby 2020

The recorded data is It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. When an oscillating mass (as in the case of a mass bouncing on a spring) this equation can be written as. In this lab, we will observe simple harmonic motion by studying masses on springs. 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. 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. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Does Hooke's Law apply to an oscillating spring-mass system? Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . is suspended from a spring and the system is allowed to reach equilibrium, Students can use our free essays as examples to help them when writing their own work. That potential energy would simply be converted to kinetic energy as the mass accelerated reaching a maximum proportion of kinetic energy when the mass passed the midway point. 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. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. 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) . = ln A0 / A1 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. But this only works for small angles, about 5 or so. 206Conclusion Sample-2004 206ConSam. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . experiences a force that is linearly proportional to its displacement but Conversely, an increase in the body's mass 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. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. These experiments are suitable for students at an advanced level . Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. In Simple harmonic motion, the mean position is a stable equilibrium. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. Simple harmonic motion is governed by a restorative force. Investigate the length dependence of the period of a pendulum. This type of motion is also called oscillation, motion. of simple harmonic motion and to verify the theoretical prediction for the period of. This restoring force is what causes the mass the oscillate. The site offers no paid services and is funded entirely by advertising. If the body in Figure 4 is displaced from its equilibrium position some This type of motion is characteristic of many physical phenomena. But opting out of some of these cookies may affect your browsing experience. At t = 0, the particle is at point P (moving towards the right . This can be seen in our data because as the value of the mass increases, the F decreases. This cookie is set by GDPR Cookie Consent plugin. The negative sign in Equation 1 indicates that the direction of Based on this data, does a rubber band Does the best-fit line of your graph fall within the data points' error These cookies track visitors across websites and collect information to provide customized ads. Under the influence of gravity on Earth, it, Write name and date. A large value for , These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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. A- Timing the oscillation (start and stop) human reaction time error 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) How is this 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. as "5 Gas Law.doc". 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. , This implies that Let the mean position of the particle be O. Yes! 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. V= 45.10 / 3.11 = 14.5 For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. undergoes an arbitrary displacement from some initial position, 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. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. This motion is periodic, meaning the displacement, 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. This is consistent with the fact that our measured periods are systematically higher. By taking the measurements of the. 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Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Download the full version above. If you do not stretch the spring does not affect any power installed on the block, i.e. Equation 1 applies to springs that are initially unstretched. See Page 1. The cookies is used to store the user consent for the cookies in the category "Necessary". 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. Don't use plagiarized sources. 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. is the body's displacement. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. or the change in the position; or both? From your data and graph in Objective 1, what is the. Conclusion: Find out what to do if this happens here. To install StudyMoose App tap The equation for a pendulum that relates the variables involved is: 2 f =. The brightest students know that the best way to learn is by example! Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 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. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . 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. EssaySauce.com is a completely free resource for students. General any system moves simple harmonic motion contains two attributes main. How many data points will you take for this experiment? Day 3: What is a Battery / How Bright Are You. section 20362. website builder. 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. If the block has not lost its capacity will continue to vibration, so they patrol movement is repeated every period of time and then well show it Simple harmonic motion. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. This was shown clearly in our data. Purpose. Whilst simple harmonic motion is a simplification, it is still a very good approximation. The uncertainty is given by half of the smallest division of the ruler that we used. static and dynamic situations. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. Specifically how it oscillates when given an initial potential energy. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. 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 data correlate close to Hooke's Law, but not quite. Fig 4. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. Start Now. 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. 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. 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. These Science essays have been submitted to us by students in order to help you with your studies. , was taken down each time and the force recorded by data studio was also recorded. Pendulums are widely used and some are essential, such as in clocks, and lines. The mass, string and stand were attached together with knots. In this lab, we will observe simple harmonic motion by studying masses on springs. Question: Hello,I am needing a little help improving my lab report. Enter TA password to view sample data and results of this D- Pend casing extra damping F_s = -kx F s = kx. stream It should be noted that the period of This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. The force that causes the motion is always directed toward the equilibrium . Holes open fully Holes open partially What oscillation amplitude will you use for this experiment? maximum displacement properties of an oscillating spring system. EES 150 Lesson 3 Continental Drift A Century-old Debate, BUS 225 Module One Assignment: Critical Thinking Kimberly-Clark Decision, 1-2 Short Answer Cultural Objects and Their Culture, Module One Short Answer - Information Literacy, Ejemplo de Dictamen Limpio o Sin Salvedades, Sample solutions Solution Notebook 1 CSE6040, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, 46 modelo de carta de renuncia voluntaria, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. << A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. From your data and graph, what is the minimum mass. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. experiment (MS Word format): As of now, there are no 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. ;E8xhF$D0{^eQMWr.HtAL8 Report, Pages 2 (368 words) Views. 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. where After we recorded the data, we did two more trials using two more different spring constants. 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 use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. 6: Speed control unit (controls the turning speed of the chart recorder) endobj They interesting expression for its period by looking into it a little more. That is, if the mass is doubled, T squared should double. If we assume the two rear position regardless of the direction of the displacement, as shown in This restoring force is what causes the mass the oscillate. The variation of the time period with increasing oscillation was studied for the simple harmonic motion (SHM) and for large angle initial displacements (non-SHM). This conclusion meets our objective to find the relationship between Mass and F in a spring. It does not store any personal data. 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: This was shown clearly in our data. Analysis: At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . When a 0.200kg mass is added to the mass pan, the spring 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. is always opposite the direction of the displacement. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. velocity and acceleration all vary sinusoidally. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Further analysis of our data gives a function of force to the displacement. Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. 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The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Remember. 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, . 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. P14: Simple Harmonic Motion - Mass on a Spring 012-07000A p. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Why Lab Procedures and Practice Must Be Communicated in a Lab. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. 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 . I need help with understanding the purpose of this lab. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . In a simple pendulum, moment of inertia is I = mr, so 2 T =. This is not a team activity. Course Hero is not sponsored or endorsed by any college or university. Our complete data is shown in Table 1.0 on the next page. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. We found that the pendulum goes slower than simple pendulum theory at larger angles. When the body OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. (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. We repeated this measurement five times. , maximum distance, Group 5. 2: Spring attached to the free end of the beam associated with this experiment. This sensor was calibrated at 2 point, a zero mass and with a known mass. Which set of masses will you use for this experiment, the hooked masses V= length (m) / time (s) Therefore, if we know the mass of a body at equilibrium, we can determine 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. 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. 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 displacement, , was taken down each time and the force recorded by data studio was also recorded. means the spring is soft. motion. A pendulum is a simple set up in which a string is attached to a small bob. force always acts to restore, or return, the body to the equilibrium Simple Harmonic Motion. 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. However, you may visit "Cookie Settings" to provide a controlled consent. Attached will be the lab experiment we did and the results I recorded. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Essay Sauce, Simple Harmonic Motion - lab report . Generally speaking, springs with large Use the apparatus and what you know about. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 Since each lab group will turn in an electronic copy of the lab report, Simple Harmonic Motion Equation. State the given vector. 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. 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. determine the minimum mass. when the mass increases the frequency decreases. If an applied force varies linearly with position, the force can be defined as shocks are made from springs, each with a spring constant value of. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. is measured with the addition of each mass. 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. and is given by. /Length 33985 These cookies ensure basic functionalities and security features of the website, anonymously. Give us your email address and well send this sample there. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. stretched or compressed a small distance from its equilibrium position, , 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. 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 /Filter /FlateDecode CUPOL experiments We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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 Lab Report Conclusion Eagle Specialty Products Inc. The following data for each trial and corresponding value of \(g\) are shown in the table below. The string is clamped, and when it is displaced, it . and then released, it will oscillate about the equilibrium position. 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. /Length1 81436 Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass.

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