Students looking for free, top-notch essay and term paper samples on various topics. Explain why or why not? For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. Simple Harmonic Motion. Each lab group should experiment (MS Excel format): Enter TA password to view answers to questions from this Here the constant of proportionality, 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 . Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. The data correlate close to Hooke's Law, but not quite. One cycle of kinematics, including . These Questions are also found in the lab write-up template. 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. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 The spring constant is an indication of the spring's stiffness. Course Hero is not sponsored or endorsed by any college or university. (2016, May 24). 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. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . Dont know where to start? motion. 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. /Filter /FlateDecode This value could be denoted as, . . and then released, it will oscillate about the equilibrium position. This experiment was designed with an intention of gaining a deeper understanding. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. This motion is periodic, meaning the displacement, 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. 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. 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. 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) Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. That is, if the mass is doubled, T squared should double. 12 0 obj or the slotted ones? 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. section 20362. 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 . ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. website builder. The corresponding value of \(g\) for each of these trials was calculated. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. , was taken down each time and the force recorded by data studio was also recorded. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. determined? It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. The spring constant refers to how "stiff" a spring is. to some final position, indicates that the spring is stiff. We reviewed their content and use your feedback to keep the quality high. If the body in Figure 4 is displaced from its equilibrium position some 3: Dashpot (an oil-filled cylinder with a piston) The uncertainty is given by half of the smallest division of the ruler that we used. These experiments are suitable for students at an advanced level . 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. I). We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Analytical cookies are used to understand how visitors interact with the website. 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. The . This implies that Equation 1 applies to springs that are initially unstretched. * This essay may have been previously published on Essay.uk.com at an earlier date. When the body Simple Harmonic Motion. Each of the reasons for errors 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 The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. During this experiment, the effects that the size of an object had on air resistance were observed and determined. Why? However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). static and dynamic situations. Find out what to do if this happens here. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). : an American History (Eric Foner). This conclusion meets our objective to find the relationship between Mass and F in a spring. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. 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The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. These cookies ensure basic functionalities and security features of the website, anonymously. for 14-16. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. 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. ( = 1.96N). For example, radiation . All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. However, you may visit "Cookie Settings" to provide a controlled consent. What mass values will you use for this experiment? In a simple pendulum, moment of inertia is I = mr, so 2 T =. In other words, the spring 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. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 If an applied force varies linearly with position, the force can be defined as Apparatus and Experimental Procedure: From your data and graph in Objective 1, what is the. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . << x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? 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 conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. The naming convention is as Two types of springs (spring I and II) with . After this data was collected we studied to determine the length of the period of each oscillation. is the displacement of the body from its equilibrium position (at is measured with the addition of each mass. The recorded data is record in order to take data for a Hooke's Law experiment when the spring-mass 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. Lab. 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. We will determine the spring constant, 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. Damped Harmonic Motion Lab Report. each individual of the group. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 04/20/12. , and then proceeded to add mass in units of. We transcribed the measurements from the cell-phone into a Jupyter Notebook. We will study how a mass moves and what properties of spring give the mass a predictable movement. Holes open fully Holes open partially Well occasionally send you promo and account related email. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. The purpose of this lab experiment is to study the behavior of springs in Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . In order to measure simple harmonic motion, there are two traits needed: . 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. Views. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). But opting out of some of these cookies may affect your browsing experience. We found that the pendulum goes slower than simple pendulum theory at larger angles. Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. V= 45.10 / 3.11 = 14.5 How is this The period that you solved for will be your theoretical period. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec State the given vector. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. James Allison, Clint Rowe, & William Cochran. 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 . associated with this experiment. . From your data and graph, what is the minimum mass. as you perform the experiment. is called the force constant. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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. By continuing, you agree to our Terms and Conditions. B- Measurement error 5: A felt-tipped pen attached to the end of the beam . 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. 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. We pulled the mass down and released it to let it oscillate. We achieved percent error of only . What was the goal of the simple pendulum experiment? Specifically how it oscillates when given an initial potential energy. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. Then a spring was hung from the sensor and it was torn to a zero point. where Now we bring the stopwatch and we start counting the time, so we can do the calculation. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. is the known as the spring constant, and The best examples of simple harmonic motion are installed bloc in the spring. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. How will you decrease the uncertainty in the period measurement? No- 3. Don't use plagiarized sources. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. 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. James Allison. 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). Sample conclusion for a pendulum experiment lab. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . this equation can be written as. 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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. is the body's displacement. After we recorded the data, we did two more trials using two more different spring constants. 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. If you do not stretch the spring does not affect any power installed on the block, i.e. Simple Harmonic Motion Lab Report. this force exists is with a common helical spring acting on a body. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. 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. when the mass increases the frequency decreases. If the mass is tripled, t squared should triple also. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Enter TA password to view sample data and results of this D- Pend casing extra damping By clicking Check Writers Offers, you agree to our terms of service and privacy policy. , The body Simple Harmonic Motion Equation. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. 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. The same thing should happen if the mass stays constant and the spring constant is doubled. 692. study the effects, if any, that amplitude has on the period of a body ;E8xhF$D0{^eQMWr.HtAL8 This type of motion is also called oscillation, motion. . /Supplement 0 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. In this lab, we will observe simple harmonic motion by studying masses on springs. 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. This sensor was set to a frequency of . Mass is added to a vertically hanging rubber band and the displacement A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. %PDF-1.7 be sure to rename the lab report template file. The negative sign in Equation 1 indicates that the direction of 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. /Ordering (Identity) Which set of masses will you use for this experiment, the hooked masses Conclusion Simple Harmonic Motion Lab Report. Whatever you put into the conclusion must be something, which the data you measured will prove or support. 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. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. The brightest students know that the best way to learn is by example! These cookies track visitors across websites and collect information to provide customized ads. This is consistent with the fact that our measured periods are systematically higher. Abstract. Remember. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. You also have the option to opt-out of these cookies. The cookie is used to store the user consent for the cookies in the category "Other. system is oscillating? , interesting expression for its period by looking into it a little more. In the first part of this lab, you will determine the period, T, of the . This was proved experimentally with incredible accuracy. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Experiment 2 measures simple harmonic motion using a spring. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 oscillation of a mass-spring system. force always acts to restore, or return, the body to the equilibrium Group 5. Each person in the group 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Market-Research - A market research for Lemon Juice and Shake. 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! Download. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. When a mass is added to the spring it takes the length of, . ~ 5";a_x ~10). /Registry (Adobe) Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . 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. values can balance larger forces than springs with low 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. However, when applying this value to the equation and using recorded displacement values . 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. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. A low value for This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. We can then determine the spring constant for this spring: What is the uncertainty in the mass measurements? A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Type your requirements and Ill connect you to 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 . Therefore, if we know the mass of a body at equilibrium, we can determine 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. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. Investigate the length dependence of the period of a pendulum. In Simple harmonic motion, the mean position is a stable equilibrium. is always opposite the direction of the displacement. 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.