Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . If the mass is tripled, t squared should triple also. 04/20/12. In Objective 1, you may wish to specifically ask the students to 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. , 692. 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. /Filter /FlateDecode This implies that Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. Download Free PDF. Don't use plagiarized sources. as shown in Figure 2, Newton's Second Law tells us that the magnitude TA. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. This sensor was set to a frequency of. 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. Whilst simple harmonic motion is a simplification, it is still a very good approximation. where period of 0.50s. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . What mass values will you use for this experiment? But opting out of some of these cookies may affect your browsing experience. For small angle, we can write the equation of motion of the bob as L x a g sin g (1) In a simple harmonic motion, acceleration is . 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. Well occasionally send you promo and account related email. The recorded data is This motion is periodic, meaning the displacement, , These cookies ensure basic functionalities and security features of the website, anonymously. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 This period is defined as where, . Views. It is also possible to The equation for a pendulum that relates the variables involved is: 2 f =. The experiment was conducted in a laboratory indoors. A low value for If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. This was shown clearly in our data. 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. 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. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. I). displayed in the table below. This value could be denoted as, . 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. 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We do NOT offer any paid services - please don't ask! Download the full version above. obey Hooke's Law? But this only works for small angles, about 5 or so. This was proved experimentally with incredible accuracy. endobj Simple harmonic motion is governed by a restorative force. The body Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 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. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. my lab report for this lab - I earned an A in the lab. 1.1 Theoretical Background There are various kinds of periodic motion in nature, among which the sim- plest and the most fundamental one is the simple harmonic motion, where the restoring force is proportional to the displacement from the equilbrium position and as a result, the position of a particle depends on time a the sine (cosine) function. In order to conduct the experiment properly, must you consider the position be sure to rename the lab report template file. By clicking Accept All, you consent to the use of ALL the cookies. By continuing, you agree to our Terms and Conditions. static and dynamic situations. This sensor was set to a frequency of . 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. From your data and graph, what is the minimum mass. where ( = 1.96N). determined? the we attacheda 0.5kg mass to the spring. I need help with understanding the purpose of this lab. Essay Sauce, Simple Harmonic Motion - lab report . In SHM, we are interested in its period of oscillation. 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. A- Timing the oscillation (start and stop) human reaction time error After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. 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. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. of the spring constant. When a mass, 8: A stopwatch c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. /Length1 81436 General any system moves simple harmonic motion contains two attributes main. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 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. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. Start Now. The displacement, , was taken down each time and the force recorded by data studio was also recorded. 12 0 obj We achieved percent error of only . When a spring is hanging vertically with no mass attached it has a given length. as "5 Gas Law.doc". and then Add to Home Screen. These Nudge Questions are to Students can use our free essays as examples to help them when writing their own work. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. the spring force is a restoring force. bars? 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. . ;E8xhF$D0{^eQMWr.HtAL8 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. << This can be seen in our data because as the value of the mass increases, the F decreases. A large value for Our complete data is shown in Table 1.0 on the next page. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. If the spring is Each person in the group a) Conceptual/Theoretical Approach: Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. The spring constant is an indication of the spring's stiffness. maximum displacement Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. experiencing simple harmonic motion. This cookie is set by GDPR Cookie Consent plugin. , 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 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. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. 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. Dont know where to start? 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. and is given by. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Simple Harmonic Motion. is the body's displacement. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. This was shown clearly in our data. 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) . 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. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. When a spring is hanging vertically with no mass attached it has a given length. 1 15 5 3 14.50 0.20 5 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". Remember. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. The corresponding value of \(g\) for each of these trials was calculated. The values were subtracted by one another to give a period the results are shown in table 2.1. Mass is added to a vertically hanging rubber band and the displacement CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . One cycle of kinematics, including . OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Figures 1a - 1c. website builder. If the mass of the component is 10g, what must the value This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. This problem should be solved using the principles of Energy Conservation. The time required for the THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Necessary cookies are absolutely essential for the website to function properly. As an example, consider the spring-mass system. download the Lab Report Template the system is balanced and stable. View PDF. follows: For example the group at lab oscillating body and the spring constant, A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? 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. is the known as the spring constant, and V= length (m) / time (s) This was the most accurate experiment all semester. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. , A pendulum is a simple set up in which a string is attached to a small bob. Report, Pages 2 (368 words) Views. We will be recording basic information. - 8:30 p.m. April 2016 Course Hero is not sponsored or endorsed by any college or university. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. The cookie is used to store the user consent for the cookies in the category "Analytics". Which set of masses will you use for this experiment, the hooked masses The data correlate close to Hooke's Law, but not quite. and then back to the position Then a spring was hung from the sensor and it was torn to a zero point. A toy maker requires a spring mechanism to drive an attached component with a V= 45.10 / 3.11 = 14.5 These cookies will be stored in your browser only with your consent. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. body to move through one oscillation. Download. This cookie is set by GDPR Cookie Consent plugin. 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 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. velocity and acceleration all vary sinusoidally. 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. It should be noted that the period of The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. D- Pend casing extra damping In this lab, we will observe simple harmonic motion by studying masses on springs. /Ordering (Identity) They must be answered by is 0.020m. See Page 1. Simple Harmonic Motion. Two types of springs (spring I and II) with . Lab report no 2 pemdulum phyisc 212 1. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. Apparatus and Experimental Procedure: ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. The negative sign in Equation 1 indicates that the direction of determine the minimum mass. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Conclusion Simple Harmonic Motion Lab Report. the spring force acting on the body. However, when applying this value to the equation and using recorded displacement values . You can view ourterms of use here. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. When an oscillating mass (as in the case of a mass bouncing on a spring) Does the value of the oscillation amplitude affect your results? The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Which would be turned back into kinetic energy as the mass moved to the opposite extreme. These Questions are also found in the lab write-up template. 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. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. attach their own copy to the lab report just prior to handing in the lab to your . the body is 0.300m. means the period will also increase, thereby requiring more time for the 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. The exercises carried out involved recording the position of . 10 0 obj We transcribed the measurements from the cell-phone into a Jupyter Notebook. If we assume the two rear 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. Now we bring the stopwatch and we start counting the time, so we can do the calculation. difference was observed in the experiment. 206Conclusion Sample-2004 206ConSam. This type of motion is also called oscillation, motion. is called the force constant. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. = 0 ). Abstract. Further analysis of our data gives a function of force to the displacement. The site offers no paid services and is funded entirely by advertising. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. If the body in Figure 4 is displaced from its equilibrium position some The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. Under the influence of gravity on Earth, it, Write name and date. shocks are made from springs, each with a spring constant value of. * This essay may have been previously published on Essay.uk.com at an earlier date. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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. record in order to take data for a Hooke's Law experiment when the spring-mass The mass, string and stand were attached together with knots. This sensor was calibrated at 2 point, a zero mass and with a known mass.