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 order to minimize the uncertainty in the period, we measured the time for the pendulum to make \(20\) oscillations, and divided that time by \(20\). means the period will also increase, thereby requiring more time for the This was proved experimentally with incredible accuracy. This sensor was calibrated at 2 point, a zero mass and with a known mass. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . V Conclusion This experiment for the observation of simple harmonic 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. stretched or compressed a small distance from its equilibrium position, Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com . 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The value of mass, and the the spring constant. No- 3. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. endobj body to move through one oscillation. 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. 9: Small weights Keeping the paper taut During the lab assignment, the natural frequency, damping and beam oscillations are measured. difference was observed in the experiment. this force exists is with a common helical spring acting on a body. 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. . Investigate the length dependence of the period of a pendulum. , When a 0.200kg mass is added to the mass pan, the spring Students looking for free, top-notch essay and term paper samples on various topics. Which set of masses will you use for this experiment, the hooked masses The string is clamped, and when it is displaced, it . These Nudge Questions are to force always acts to restore, or return, the body to the equilibrium 5.5 Simple Harmonic Motion - Physics | OpenStax study the effects, if any, that amplitude has on the period of a body The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. is 0.020m. 27.8: Sample lab report (Measuring g using a pendulum) Analytical cookies are used to understand how visitors interact with the website. PDF Simple Harmonic Motion - Pendulum Experiment Report Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. Once such physical system where For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. table #5 working on the Ideal Gas Law experiment would rename their template file 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. The data correlate close to Hooke's Law, but not quite. What is the uncertainty in the period measurements? The law is named after 17th-century . We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. EssaySauce.com is a completely free resource for students. shocks are compressed a distance of 7.0cm. motion. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . This was shown clearly in our data. 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. In Objective 1, you may wish to specifically ask the students to The negative sign in Equation 1 indicates that the direction of 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. Attached will be the lab experiment we did and the results I recorded. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. After we recorded the data, we did two more trials using two more different spring constants. These cookies ensure basic functionalities and security features of the website, anonymously. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. we say that the mass has moved through one cycle, or oscillation. Hooke's Law and Simple Harmonic Motion - WebAssign the we attacheda 0.5kg mass to the spring. Download. This implies that One cycle of kinematics, including . What mass values will you use for this experiment? , 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. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. undergoes an arbitrary displacement from some initial position, determined? Therefore, if we know the mass of a body at equilibrium, we can determine Holes open fully Holes open partially This motion is periodic, meaning the displacement, Conclusion Simple Harmonic Motion Lab Report The spring constant refers to how "stiff" a spring is. . For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Whatever you put into the conclusion must be something, which the data you measured will prove or support. TA. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. When an oscillating mass (as in the case of a mass bouncing on a spring) The cookie is used to store the user consent for the cookies in the category "Performance". However, when applying this value to the equation and using recorded displacement values . Yes! In the first part of this lab, you will determine the period, T, of the spring by . PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS If you do not stretch the spring does not affect any power installed on the block, i.e. of the spring force equals the weight of the body, Hooke's Law and Simple Harmonic Motion Adam Cap When a mass is added to the spring it takes the length of, . You can get a custom paper by one of our expert writers. This cookie is set by GDPR Cookie Consent plugin. Equation 1 applies to springs that are initially unstretched. 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. is the body's displacement. values can balance larger forces than springs with low These Science essays have been submitted to us by students in order to help you with your studies. 2 14.73 5 2.94 14.50 0.20 5 is measured with the addition of each mass. should print-out the Questions section and answer them individually. . each individual of the group. 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. It is also possible to , x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Then a spring was hung from the sensor and it was torn to a zero point. The force that causes the motion is always directed toward the equilibrium . 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) . Simple Pendulum lab report - Experiment: Simple Harmonic Motion Simple We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. c"p. Why? In other words, the spring Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. AP Physics Lab 12: Harmonic Motion in a Spring - YouTube 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. View PDF. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 This type of motion is also called oscillation, motion. >> or the slotted ones? The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. For example, radiation . The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. A toy maker requires a spring mechanism to drive an attached component with a 1. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. Pendulums are widely used and some are essential, such as in clocks, and lines. Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. Introduction to simple harmonic motion review - Khan Academy 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. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. But this only works for small angles, about 5 or so. CUPOL experiments Lab. Group 5. analysis and conclusion. The exercises carried out involved recording the position of . Create your website today. We can then determine the spring constant for this spring: Complete Syllabus of Physics | Grade XII - Dhan Raj's BLOG Course Hero is not sponsored or endorsed by any college or university. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. 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. Report On Simple Harmonic Motion | WePapers /Length 33985 This basically means that the further away an oscillating object is from its mid-point, the more acceleration . ( = 1.96N). Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 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. << Solved Laboratory The simple pendulunm Purpose: investigate | Chegg.com Give us your email address and well send this sample there. What oscillation amplitude will you use for this experiment? When the mass travels from the 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. 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". and then Add to Home Screen. Our complete data is shown in Table 1.0 on the next page. experiment (MS Excel format): Enter TA password to view answers to questions from this Report, Pages 2 (368 words) Views. Does Hooke's Law apply to an oscillating spring-mass system? The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. ;E8xhF$D0{^eQMWr.HtAL8 This value could be denoted as, . 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. Simple Harmonic Motion Equation. as "5 Gas Law.doc". Under the influence of gravity on Earth, it, Write name and date. Let the mean position of the particle be O. When a mass, 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). The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). the system is balanced and stable. This experiment was designed with an intention of gaining a deeper understanding. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 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. D- Pend casing extra damping When a spring is hanging vertically with no mass attached it has a given length. A pendulum is a simple set up in which a string is attached to a small bob. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). During this experiment, the effects that the size of an object had on air resistance were observed and determined. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. For the lab, we first attacheda spring to the ring stand. Calculation and Result: 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. PDF The Simple Pendulum - Florida Gulf Coast University Simple Harmonic Motion Lab Report. Use the apparatus and what you know about. is called the force constant. This page of the essay has 833 words. Does the best-fit line of your graph fall within the data points' error When block away when the subject of stability or the balance spring will exert force to return it back to the original position. 15.2: Simple Harmonic Motion - Physics LibreTexts Procedure. Therefore the displacement PDF Simple Pendulum and Properties of Simple Harmonic Motion Remember. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. follows: For example the group at lab Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . If the body in Figure 4 is displaced from its equilibrium position some After this data was collected we studied to determine the length of the period of each oscillation. This cookie is set by GDPR Cookie Consent plugin. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. The brightest students know that the best way to learn is by example! oscillating body and the spring constant, In these equations, x is the displacement of the spring (or the pendulum, or whatever it is that's in simple harmonic motion), A is the amplitude, omega is the angular frequency, t is the time, g . This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Damped Harmonic Motion Lab Report - 838 Words | Studymode This sensor was set to a frequency of . Dont know where to start? 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. This type of motion is characteristic of many physical phenomena. Lab 3: Simple Harmonic motions Spring/Mass Systems Lab Simple harmonic motion lab report conclusion. Simple Harmonic Motion How many data points will you take for this experiment? A- Timing the oscillation (start and stop) human reaction time error B- Measurement error 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 baseball is released. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. Does the period depend on the amplitude of a pendulum? In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. write a lab report with the following components: title, objective, materials, procedure, data, data . The following data for each trial and corresponding value of \(g\) are shown in the table below. If the mass of the component is 10g, what must the value This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". 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From your data and graph in Objective 1, what is the. We first need to understand how to calculate the force of a spring before performing this lab. motion is independent of the amplitude of the oscillations. Simple harmonic motion Definition & Meaning - Merriam-Webster is the known as the spring constant, and We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. is always opposite the direction of the displacement. . = ln A0 / A1 Conclusion Simple Harmonic Motion Lab Report. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. 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. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec When a spring is hanging vertically with no mass attached it has a given length. If the spring is Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. Experiment 2 measures simple harmonic motion using a spring. means the spring is soft. Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu However, you may visit "Cookie Settings" to provide a controlled consent. PDF Guidelines for a Physics Lab Reports - Baylor University 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home 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. 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. Determination of Springs Constant by Hooke's Law and Simple Harmonic A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. , and then proceeded to add mass in units of. Fig 4. 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. As the stiffness of the spring increases (that is, as as shown in Figure 2, Newton's Second Law tells us that the magnitude Analysis: a) Conceptual/Theoretical Approach: my lab report for this lab - I earned an A in the lab. That number will be your delta x. , 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. The spring force must balance the weight of the added mass 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.