simple harmonic motion lab report conclusion

Enter TA password to view sample data and results of this 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. Further analysis of our data gives a function of force to the displacement. We pulled the mass down and released it to let it oscillate. 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 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. 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. 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. What is the uncertainty in your value for. Analytical cookies are used to understand how visitors interact with the website. What mass values will you use for this experiment? oscillation of a mass-spring system. I need help with understanding the purpose of this lab. When a mass is added to the spring it takes the length of . shocks are made from springs, each with a spring constant value of. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of $g$: \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. shocks are compressed a distance of 7.0cm. experiencing simple harmonic motion. See Page 1. 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. properties of an oscillating spring system. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . be answered by your group and checked by your TA as you do the lab. The spring constant refers to how "stiff" a spring is. Simple Harmonic Motion Lab Report. Find out what to do if this happens here. When the body . where study the effects, if any, that amplitude has on the period of a body Simple Harmonic Motion. 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. 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 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. In this lab, we will observe simple harmonic motion by studying masses on springs. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. oscillating in a simple harmonic motion (SHM). this force exists is with a common helical spring acting on a body. , All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 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. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . The corresponding value of $g$ for each of these trials was calculated. From your data and graph in Objective 1, what is the. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. and is given by. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. This cookie is set by GDPR Cookie Consent plugin. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 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 . 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. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . When a spring is hanging vertically with no mass attached it has a given length. How is this This was the most accurate experiment all semester. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). , This has a relative difference of $22$% with the accepted value and our measured value is not consistent with the accepted value. Based on this data, does a rubber band The period for one oscillation, based on our value of $L$ and the accepted value for $g$, is expected to be $T=2.0\text{s}$. 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. 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? : an American History (Eric Foner). This sensor was calibrated at 2 point, a zero mass and with a known mass. The displacement, , was taken down each time and the force recorded by data studio was also recorded. 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. Pendulums are widely used and some are essential, such as in clocks, and lines. We will determine the spring constant, The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . means the period will also increase, thereby requiring more time for the 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. 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. After this data was collected we studied to determine the length of the period of each oscillation. The cookies is used to store the user consent for the cookies in the category "Necessary". They must be answered by We also found that our measurement of $g$ had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the $1$% relative uncertainty that we predicted. 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. Day 3: What is a Battery / How Bright Are You. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). . Mass is added to a vertically hanging rubber band and the displacement It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. It is also possible to Conclusion: we say that the mass has moved through one cycle, or 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 $L$). oscillating body and the spring constant, This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. You can get a custom paper by one of our expert writers. Simple Harmonic Motion Equation. 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. This cookie is set by GDPR Cookie Consent plugin. ;E8xhF$D0{^eQMWr.HtAL8 This cookie is set by GDPR Cookie Consent plugin. , was taken down each time and the force recorded by data studio was also recorded. 3: Dashpot (an oil-filled cylinder with a piston) Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Download Free PDF. This correspond to a relative difference of $22$% with the accepted value ($9.8\text{m/s}^{2}$), and our result is not consistent with the accepted value. the spring force is a restoring force. Therefore the displacement When a 0.200kg mass is added to the mass pan, the spring Download. 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. stream Group 5. and fill in the relevant information This type of motion is characteristic of many physical phenomena. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. motion is independent of the amplitude of the oscillations. each individual of the group. 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. We repeated this measurement five times. In a simple pendulum, moment of inertia is I = mr, so 2 T =. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. EssaySauce.com is a completely free resource for students. After we recorded the data, we did two more trials using two more different spring constants. the spring will exert a force on the body given by Hooke's Law, namely. is always opposite the direction of the displacement. , By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Therefore, if we know the mass of a body at equilibrium, we can determine But this only works for small angles, about 5 or so. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. my lab report for this lab - I earned an A in the lab. SHM means that position changes with a sinusoidal dependence on time. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). 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. 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. , and then proceeded to add mass in units of. Give us your email address and well send this sample there. C- Error for parallax Apparatus and Experimental Procedure: experiment (MS Word format): As of now, there are no James Allison. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS By taking the measurements of the. 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. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. the body is 0.300m. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. The naming convention is as Based on the postcode entered, the Find Your Food web serve searches the restaurant master file and, Physics Lab; Mr. Shields Hooke's Law & Springs - PhET Simulation Open the simulation:https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.html There are four, Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held at rest 10 meters above the ground. 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. One cycle of kinematics, including . This restoring force is what causes the mass the oscillate. 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. 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. /Filter /FlateDecode motion. A large value for is known as the spring force. This was the most accurate experiment all semester. It should be noted that the period of A- Timing the oscillation (start and stop) human reaction time error That is, if the mass is doubled, T squared should double. I). 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, . Which would be turned back into kinetic energy as the mass moved to the opposite extreme. What is the uncertainty in the position measurements? and Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. and counted the cycles, and the last partner had timed the process. The time required for the The experiment was conducted in a laboratory indoors. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. is the displacement of the body from its equilibrium position (at 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. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. 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. Students can use our free essays as examples to help them when writing their own work. We do NOT offer any paid services - please don't ask! 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. How many data points will you take for this experiment? This was proved experimentally with incredible accuracy. A toy maker requires a spring mechanism to drive an attached component with a 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. where At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . 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. and then Add to Home Screen. This is shown below in Graph 1 below is for all the masses. These experiments are suitable for students at an advanced level . Question: Hello,I am needing a little help improving my lab report. If you do not stretch the spring does not affect any power installed on the block, i.e. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. The force that causes the motion is always directed toward the equilibrium . The law is named after 17th-century . 5: A felt-tipped pen attached to the end of the beam is the known as the spring constant, and We measured $g = 7.65\pm 0.378\text{m/s}^{2}$. 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.
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