The baseball is released. This restoring force is what causes the mass the oscillate. 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. These cookies track visitors across websites and collect information to provide customized ads. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. is called the force constant. 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 . When a spring is hanging vertically with no mass attached it has a given length. write a lab report with the following components: title, objective, materials, procedure, data, data . This cookie is set by GDPR Cookie Consent plugin. Experiment 2 measures simple harmonic motion using a spring. From your data and graph, what is the minimum mass. Does the period depend on the amplitude of a pendulum? 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. The circuit is exquisitely simple - b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. increases), the period decreases which has the effect of increasing the Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. or the change in the position; or both? oscillation of a mass-spring system. 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. 5: A felt-tipped pen attached to the end of the beam PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS body's average velocity. Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. 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If we assume the two rear When the mass travels from the In the first part of this lab, you will determine the period, T, of the spring by . experiencing simple harmonic motion. 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. The cookie is used to store the user consent for the cookies in the category "Other. 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. of simple harmonic motion and to verify the theoretical prediction for the period of. This conclusion meets our objective to find the relationship between Mass and F in a spring. Since each lab group will turn in an electronic copy of the lab report, 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. 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. These experiments are suitable for students at an advanced level . 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) 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. % 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. Cross), Chemistry: The Central Science (Theodore E. Brown; H. 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This sensor was set to a frequency of. You can view ourterms of use here. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. = 0 ). For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. this force exists is with a common helical spring acting on a body. velocity and acceleration all vary sinusoidally. The time required for the This cookie is set by GDPR Cookie Consent plugin. to some final position, shocks are compressed a distance of 7.0cm. . The site offers no paid services and is funded entirely by advertising. Type your requirements and Ill connect you 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. That number will be your delta x. we say that the mass has moved through one cycle, or oscillation. This was the most accurate experiment all semester. Each person should when the mass increases the frequency decreases. This value could be denoted as . To install StudyMoose App tap If the spring is We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). Which would be turned back into kinetic energy as the mass moved to the opposite extreme. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . , 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 \(20\). ;E8xhF$D0{^eQMWr.HtAL8 Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 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. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. 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 . When block away when the subject of stability or the balance spring will exert force to return it back to the original position. 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. . table #5 working on the Ideal Gas Law experiment would rename their template file Specifically how it oscillates when given an initial potential energy. Equation 1 applies to springs that are initially unstretched. To do this, a spring was set up with a circular object hanging at the end. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . Aim: If you do not stretch the spring does not affect any power installed on the block, i.e. where 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. We can then determine the spring constant for this spring: After we recorded the data, we did two more trials using two more different spring constants. . This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. 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 the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. 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Then a spring was hung from the sensor and it was torn to a zero point. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. 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. What was the goal of the simple pendulum experiment? Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Damped Harmonic Motion Lab Report. This period is defined as where, . Procedure. of the spring constant. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. In this lab, we will observe simple harmonic motion by studying masses on springs. I). is the known as the spring constant, and How many data points will you take for this experiment? The data correlate close to Hooke's Law, but not quite. Two types of springs (spring I and II) with . 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V= 45.10 / 3.11 = 14.5 means the spring is soft. should print-out the Questions section and answer them individually. experiment (MS Word format): As of now, there are no This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. The cookie is used to store the user consent for the cookies in the category "Analytics". In a simple pendulum, moment of inertia is I = mr, so 2 T =. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. The uncertainty is given by half of the smallest division of the ruler that we used. In Objective 1, you may wish to specifically ask the students to Find out what to do if this happens here. . 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. 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 rest of the first part requires you to add 20 grams to the hanging mass and then measuring how far the sliding mass has moved for the equilibrium position. 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. 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. Simple Harmonic Motion Equation. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. But this only works for small angles, about 5 or so. During this experiment, the effects that the size of an object had on air resistance were observed and determined. The cookie is used to store the user consent for the cookies in the category "Performance". A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. 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. Day 3: What is a Battery / How Bright Are You. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. A- Timing the oscillation (start and stop) human reaction time error is the displacement of the body from its equilibrium position (at . 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. The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. 2 14.73 5 2.94 14.50 0.20 5 The equation for a pendulum that relates the variables involved is: 2 f =. In this lab, we will observe simple harmonic motion by studying masses on springs. and then back to the position After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. or the slotted ones? We do NOT offer any paid services - please don't ask! ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. 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. The cookies is used to store the user consent for the cookies in the category "Necessary". section 20362. We will be recording basic information. Give us your email address and well send this sample there. I need help with understanding the purpose of this lab. As an example, consider the spring-mass system. 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. 7: A ruler The . an academic expert within 3 minutes. Then a spring was hung from the sensor and it was torn to a zero point. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. will move back and forth between the positions We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). attach their own copy to the lab report just prior to handing in the lab to your , The values were subtracted by one another to give a period the results are shown in table 2.1. But opting out of some of these cookies may affect your browsing experience. 692. system is oscillating? Mass on a Spring. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Views. The value of mass, and the the spring constant. In order to conduct the experiment properly, must you consider the position Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. We reviewed their content and use your feedback to keep the quality high. endobj Which set of masses will you use for this experiment, the hooked masses 1 15 5 3 14.50 0.20 5 Conversely, an increase in the body's mass Abstract. Our complete data is shown in Table 1.0 on the next page. website builder. 206Conclusion Sample-2004 206ConSam. After this data was collected we studied to determine the length of the period of each oscillation. A toy maker requires a spring mechanism to drive an attached component with a Simple harmonic motion. Each person in the group values can balance larger forces than springs with low Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. However, you may visit "Cookie Settings" to provide a controlled consent. 6: Speed control unit (controls the turning speed of the chart recorder) . The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". ?? Attached will be the lab experiment we did and the results I recorded. Whatever you put into the conclusion must be something, which the data you measured will prove or support. Lab-Name-Rayhan Chowdhury. This restoring force is what causes the mass the oscillate. body to move through one oscillation. What is the uncertainty in the period measurements? = ln A0 / A1 The values were subtracted by one another to give a period the results are shown in table 2.1. 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. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. How will you decrease the uncertainty in the period measurement? F_s = -kx F s = kx. Whilst simple harmonic motion is a simplification, it is still a very good approximation. 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. Don't use plagiarized sources. Enter TA password to view sample data and results of this A large value for The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . 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. We achieved percent error of only . experiences a force that is linearly proportional to its displacement but based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. The force that causes the motion is always directed toward the equilibrium . This involved studying the movement of the mass while examining the spring properties during the motion. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. displayed in the table below. EssaySauce.com is a completely free resource for students. It should be noted that the period of The experiment was conducted in a laboratory indoors. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). 10 0 obj This was shown clearly in our data. F=1/T Analysis: 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. The corresponding value of \(g\) for each of these trials was calculated. << No- 3. 3: Dashpot (an oil-filled cylinder with a piston) My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. After this data was collected we studied to determine the length of the period of each oscillation. In order to measure simple harmonic motion, there are two traits needed: . , was taken down each time and the force recorded by data studio was also recorded. 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. 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. 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. Fig 4. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. What mass values will you use for this experiment?

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