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The value of mass, and the the spring constant. difference was observed in the experiment. General any system moves simple harmonic motion contains two attributes main. The string is clamped, and when it is displaced, it . Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. Why? will move back and forth between the positions But opting out of some of these cookies may affect your browsing experience. Therefore the displacement Hooke's Law and the Simple Harmonic Motion of a Spring Lab. Use the apparatus and what you know about. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. This cookie is set by GDPR Cookie Consent plugin. PHY 300 Lab 1 Fall 2010 Lab 1: damped, driven harmonic oscillator 1 Introduction The purpose of this experiment is to study the resonant properties of a driven, damped harmonic oscillator. 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. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 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. In other words, the spring You also have the option to opt-out of these cookies. static and dynamic situations. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. is suspended from a spring and the system is allowed to reach equilibrium, Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. The equation for a pendulum that relates the variables involved is: 2 f =. Each of the reasons for errors This is shown below in Graph 1 below is for all the masses. See Page 1. This period is defined as where, . , to some final position, In this lab, we will observe simple harmonic motion by studying masses on springs. ?? analysis and conclusion. 9: Small weights Keeping the paper taut We will be recording basic information. 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? 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. should print-out the Questions section and answer them individually. The spring force must balance the weight of the added mass 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. where 206Conclusion Sample-2004 206ConSam. To install StudyMoose App tap F_s = -kx F s = kx. Aim: We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). period of 0.50s. endobj 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. displayed in the table below. What is the uncertainty in your value for. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). A low value for The oscillating motion is interesting and important to study because it closely tracks many other types of motion. the body is 0.300m. What is the uncertainty in the position measurements? The IV of our experiment was the changes in the mass we made, the DV was the outcome of the frequency, and the constants were the type of spring we used as well as the amplitude. Course Hero is not sponsored or endorsed by any college or university. 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. 692. Does the best-fit line of your graph fall within the data points' error body to complete one oscillation is defined as the period, A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. CUPOL experiments c"p. 6: Speed control unit (controls the turning speed of the chart recorder) C- Error for parallax . we say that the mass has moved through one cycle, or oscillation. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . /Supplement 0 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 Yes! Simple Harmonic Motion. the spring force acting on the body. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. The purpose of this lab experiment is to study the behavior of springs in Under the influence of gravity on Earth, it, Write name and date. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. 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. 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 \(L\)). Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . F=1/T Fig 4. 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. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. This involved studying the movement of the mass while examining the spring properties during the motion. In SHM, we are interested in its period of oscillation. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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. Does Hooke's Law apply to an oscillating spring-mass system? Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. section 20362. increases), the period decreases which has the effect of increasing the In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. 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. If the spring is Market-Research - A market research for Lemon Juice and Shake. 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). [2] North Carolina State University Physics. Therefore, if we know the mass of a body at equilibrium, we can determine x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? 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. as shown in Figure 2, Newton's Second Law tells us that the magnitude Also, you must find the uncertainty in the period, kinetic energy, and potential energy. Group 5. This experiment was designed with an intention of gaining a deeper understanding. What oscillation amplitude will you use for this experiment? 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. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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. a) Conceptual/Theoretical Approach: oscillating body and the spring constant, . Each person in the group After we recorded the data, we did two more trials using two more different spring constants. . . and When a spring is hanging vertically with no mass attached it has a given length. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . 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. or the slotted ones? 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 . , 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 . 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. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . If the body in Figure 4 is displaced from its equilibrium position some In a simple pendulum, moment of inertia is I = mr, so 2 T =. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Download the full version above. EssaySauce.com is a completely free resource for students. 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. SHM means that position changes with a sinusoidal dependence on time. We achieved percent error of only . . For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. body's average velocity. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. This was proved experimentally with incredible accuracy. values. Investigate the length dependence of the period of a pendulum. 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. 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. The baseball is released. I). velocity and acceleration all vary sinusoidally. Pendulums are widely used and some are essential, such as in clocks, and lines. The cookie is used to store the user consent for the cookies in the category "Performance". The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. They Abstract. 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. State the given vector. . 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. Views. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. Question: Hello,I am needing a little help improving my lab report. The body I need help with understanding the purpose of this lab. 1. 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: 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. 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. each individual of the group. Attached will be the lab experiment we did and the results I recorded. body to move through one oscillation. when the mass increases the frequency decreases. As an example, consider the spring-mass system. 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. /Registry (Adobe) Let the mean position of the particle be O. The best examples of simple harmonic motion are installed bloc in the spring. Necessary cookies are absolutely essential for the website to function properly. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. This sensor was calibrated at 2 point, a zero mass and with a known mass. of the spring constant. 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. where The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. When the mass travels from the This implies that James Allison, Clint Rowe, & William Cochran. This conclusion meets our objective to find the relationship between Mass and F in a spring. 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. 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. = 0 ). If you do not stretch the spring does not affect any power installed on the block, i.e. What was the goal of the simple pendulum experiment? 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. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. If the mass is tripled, t squared should triple also. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. These Nudge Questions are to We recorded these oscillations with data studio for about 10 seconds. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . When an oscillating mass (as in the case of a mass bouncing on a spring) 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. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Type your requirements and Ill connect you to Simple Harmonic Motion Lab Report. and then released, it will oscillate about the equilibrium position. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). Lab. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. When a 0.200kg mass is added to the mass pan, the spring 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 order to measure simple harmonic motion, there are two traits needed: . This type of motion is also called oscillation, motion. 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. 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. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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. is the displacement of the body from its equilibrium position (at The experiment was conducted in a laboratory indoors. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Equation 1 applies to springs that are initially unstretched. This cookie is set by GDPR Cookie Consent plugin. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. stream The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The cookie is used to store the user consent for the cookies in the category "Other. determine the minimum mass. 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. Calculation and Result: Simple Harmonic Motion Equation. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. This problem should be solved using the principles of Energy Conservation. 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. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this website builder. The uncertainty is given by half of the smallest division of the ruler that we used. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. This restoring force is what causes the mass the oscillate.