simple harmonic motion lab report conclusion

oscillating body and the spring constant, 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. Let the mean position of the particle be O. 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. If the body in Figure 4 is displaced from its equilibrium position some Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. 2: Spring attached to the free end of the beam Purpose. Figures 1a - 1c. 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. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). (download the rest of the essay above). as shown in Figure 2, Newton's Second Law tells us that the magnitude A large value for 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. 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. Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. increases), the period decreases which has the effect of increasing the General any system moves simple harmonic motion contains two attributes main. You can get a custom paper by one of our expert writers. 6: Speed control unit (controls the turning speed of the chart recorder) However, when applying this value to the equation and using recorded displacement values . 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. 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. See Page 1. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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. This cookie is set by GDPR Cookie Consent plugin. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. experiences a force that is linearly proportional to its displacement but 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. Day 3: What is a Battery / How Bright Are You. In Simple harmonic motion, the mean position is a stable equilibrium. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . The cookie is used to store the user consent for the cookies in the category "Other. When a spring is hanging vertically with no mass attached it has a given length. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . This period is defined as where, . and then released, it will oscillate about the equilibrium position. These experiments are suitable for students at an advanced level . The string is clamped, and when it is displaced, it . download the Lab Report Template If you use part of this page in your own work, you need to provide a citation, as follows: Essay Sauce, Simple Harmonic Motion lab report. Download. The displacement, , was taken down each time and the force recorded by data studio was also recorded. << Use the apparatus and what you know about. be sure to rename the lab report template file. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". The baseball is released. 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. follows: For example the group at lab This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. ~ 5";a_x ~10). That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. What oscillation amplitude will you use for this experiment? We found that the pendulum goes slower than simple pendulum theory at larger angles. << These Questions are also found in the lab write-up template. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). I need help with understanding the purpose of this lab. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. for an individual spring using both Hooke's Law and the The purpose of this lab experiment is to study the behavior of springs in Each lab group should Question: Hello,I am needing a little help improving my lab report. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 is stretched to the 0.320m-mark as shown in Figure 4. 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. As the stiffness of the spring increases (that is, as The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). 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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) . At t = 0, the particle is at point P (moving towards the right . 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. Find out what to do if this happens here. determine the minimum mass. In a simple pendulum, moment of inertia is I = mr, so 2 T =. /Length1 81436 In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. We do NOT offer any paid services - please don't ask! 1. The objective of this lab is to understand the behavior of objects in simple harmonic motion by determining the spring constant of a spring-mass system and a simple pendulum. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). . The spring constant refers to how "stiff" a spring is. In Objective 1, you may wish to specifically ask the students to 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. , Simple Harmonic Motion. . undergoes an arbitrary displacement from some initial position, Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. , ?? to some final 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. 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. This sensor was set to a frequency of. We pulled the mass down and released it to let it oscillate. * This essay may have been previously published on Essay.uk.com at an earlier date. Abstract. 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. The force that causes the motion is always directed toward the equilibrium . Students looking for free, top-notch essay and term paper samples on various topics. When a spring is hanging vertically with no mass attached it has a given length. TA. record in order to take data for a Hooke's Law experiment when the spring-mass ( = 1.96N). Remember. or the change in the position; or both? Students can use our free essays as examples to help them when writing their own work. F=1/T This value could be denoted as, . the spring force acting on the body. The cookie is used to store the user consent for the cookies in the category "Performance". Since each lab group will turn in an electronic copy of the lab report, CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . Based on this data, does a rubber band We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Does the best-fit line of your graph fall within the data points' error The values were subtracted by one another to give a period the results are shown in table 2.1. , and then proceeded to add mass in units of. Calculation and Result: Conclusion: Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . We repeated this measurement five times. 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 achieved percent error of only. , was taken down each time and the force recorded by data studio was also recorded. That number will be your delta x. 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. 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. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. determined? Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . What quantities will you plot in order to determine. What is the uncertainty in the position measurements? 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. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. where In the first part of this lab, you will determine the period, T, of the spring by . The cookies is used to store the user consent for the cookies in the category "Necessary". 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. period of 0.50s. Simple Harmonic Motion Lab Report. /Ordering (Identity) Mass is added to a vertically hanging rubber band and the displacement This is shown below in Graph 1 below is for all the masses. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. Simple Harmonic Motion Lab Report. 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. . ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. Give us your email address and well send this sample there. of the spring force equals the weight of the body, This cookie is set by GDPR Cookie Consent plugin. the body is 0.300m. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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. 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). 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . When the mass travels from the 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. This was shown clearly in our data. View PDF. >> Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. /Length 33985 FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. this equation can be written as. should be answered in your lab notebook. V= length (m) / time (s) The recorded data is Well occasionally send you promo and account related email. You can view ourterms of use here. F_s = -kx F s = kx. Type your requirements and Ill connect you to This problem should be solved using the principles of Energy Conservation. What mass values will you use for this experiment? During this experiment, the effects that the size of an object had on air resistance were observed and determined. Procedure. 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. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. 692. 3 14.73 5 2.94 14.50 0.20 5 During the lab assignment, the natural frequency, damping and beam oscillations are measured. 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. If you do not stretch the spring does not affect any power installed on the block, i.e. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. >> Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. This was proved experimentally with incredible accuracy. What was the goal of the simple pendulum experiment? 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 is 0.020m. , values. 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. 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. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. associated with this experiment. A pendulum is a simple set up in which a string is attached to a small bob. We achieved percent error of only . oscillation of a mass-spring system. 7: A ruler It is also possible to The mass, string and stand were attached together with knots. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 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 . 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. The naming convention is as These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. 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. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. These cookies track visitors across websites and collect information to provide customized ads. [2] North Carolina State University Physics. 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. will move back and forth between the positions 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 report no 2 pemdulum phyisc 212 1. 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 measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). James Allison, Clint Rowe, & William Cochran. SHM means that position changes with a sinusoidal dependence on time. The uncertainty is given by half of the smallest division of the ruler that we used. Lab. experiment (MS Excel format): Enter TA password to view answers to questions from this Apparatus and Experimental Procedure: If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Simple Harmonic Motion Equation. Then a spring was hung from the sensor and it was torn to a zero point. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The data correlate close to Hooke's Law, but not quite. % What is the uncertainty in your value for. C- Error for parallax The period that you solved for will be your theoretical period. Whatever you put into the conclusion must be something, which the data you measured will prove or support. where When a mass, They Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. , We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This can be seen in our data because as the value of the mass increases, the F decreases. Our complete data is shown in Table 1.0 on the next page. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. When an oscillating mass (as in the case of a mass bouncing on a spring) Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Does the value of the oscillation amplitude affect your results? 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. 8: A stopwatch 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 involved studying the movement of the mass while examining the spring properties during the motion. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. shocks are compressed a distance of 7.0cm. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. 206Conclusion Sample-2004 206ConSam. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . How will you decrease the uncertainty in the period measurement? system is oscillating? Lab-Name-Rayhan Chowdhury. 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. The value of mass, and the the spring constant. 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. We will study how a mass moves and what properties of spring give the mass a predictable movement. Equation 1: F = kx F = k x. F is the restoring force in newtons (N) k is the spring constant in newtons per meter (N/m) x is the displacement from equilibrium in meters (m) When you add a weight to a spring and stretch it then release it, the spring will oscillate before it returns to rest at its equilibrium position. Simple harmonic motion is governed by a restorative force. and is given by. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 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, . Hooke's Law and the Simple Harmonic Motion of a Spring Lab. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. , A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. 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. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. oscillating in a simple harmonic motion (SHM). In this lab, we will observe simple harmonic motion by studying masses on springs. 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Once such physical system where 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. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). table #5 working on the Ideal Gas Law experiment would rename their template file stretched or compressed a small distance from its equilibrium position, 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.

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