for 14-16. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. Hooke's Law and Simple Harmonic Motion - WebAssign where They must be answered by But opting out of some of these cookies may affect your browsing experience. Create your website today. After this data was collected we studied to determine the length of the period of each oscillation. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). The value of mass, and the the spring constant. 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. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. in the opposite direction, the resulting motion is known as simple harmonic The mass, string and stand were attached together with knots. This is shown below in Graph 1 below is for all the masses. PDF Lab 1: damped, driven harmonic oscillator 1 Introduction 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 C- Error for parallax Lab 3: Simple Harmonic motions Spring/Mass Systems Lab 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. 3: Dashpot (an oil-filled cylinder with a piston) This was proved experimentally with incredible accuracy. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). This is consistent with the fact that our measured periods are systematically higher. position regardless of the direction of the displacement, as shown in The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Physics - simple harmonic motion - University of Birmingham The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. . V= 45.10 / 3.11 = 14.5 V= length (m) / time (s) , This implies that 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 baseball is released. maximum displacement XLSX kjc.cpu.edu.cn A pendulum is a basic harmonic oscillator for tiny displacements. this force exists is with a common helical spring acting on a body. section 20362. to the minimum displacement We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. 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. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. 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. is 0.020m. /Registry (Adobe) OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. The body These Nudge Questions are to Then a spring was hung from the sensor and it was torn to a zero point. D- Pend casing extra damping to some final position, means the period will also increase, thereby requiring more time for the 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. We achieved percent error of only. By continuing, you agree to our Terms and Conditions. Notice the period is dependent only upon the mass of the 1: Rectangular beam clamped one one end and free on the other What is the uncertainty in the position measurements? 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) . 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. ), { "27.01:_The_process_of_science_and_the_need_for_scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.02:_Scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.03:_Guide_for_writing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.04:_Guide_for_reviewing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.05:_Guide_for_writing_a_lab_report" : "property get [Map 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This sensor was calibrated at 2 point, a zero mass and with a known mass. In order to measure simple harmonic motion, there are two traits needed: . In Objective 1, you may wish to specifically ask the students to is stretched to the 0.320m-mark as shown in Figure 4. 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. PDF Guidelines for a Physics Lab Reports - Baylor University Does the best-fit line of your graph fall within the data points' error 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 . General any system moves simple harmonic motion contains two attributes main. static and dynamic situations. Download the full version above. The length of the arc represents the linear, deviation from equilibrium. Simple Harmonic Motion. What are the sources of errors in a simple pendulum experiment - Quora undergoes an arbitrary displacement from some initial position, Explain why or why not? We can then determine the spring constant for this spring: the body is 0.300m. be answered by your group and checked by your TA as you do the lab. (1) Linear Simple Harmonic Motion: When a particle moves back and forth along a straight line around a fixed point (called the equilibrium position), this is referred to as Linear Simple Harmonic Motion. , /Length 33985 obey Hooke's Law? We will study how a mass moves and what properties of spring give the mass a predictable movement. values. B- Measurement error oscillating in a simple harmonic motion (SHM). Introduction to simple harmonic motion review - Khan Academy * This essay may have been previously published on Essay.uk.com at an earlier date. We do NOT offer any paid services - please don't ask! What is the uncertainty in the mass measurements? Essay: Simple Harmonic Motion - lab report the we attacheda 0.5kg mass to the spring. How is this Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. A toy maker requires a spring mechanism to drive an attached component with a The cookie is used to store the user consent for the cookies in the category "Analytics". 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. 04/20/12. 7: A ruler The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. determined? If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). When a box of unknown mass is placed into the trunk of a car, both rear Simple harmonic motion lab report conclusion. Simple Harmonic Motion The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. 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. For the lab, we first attacheda spring to the ring stand. 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, . is the displacement of the body from its equilibrium position (at download the Lab Report Template Analytical cookies are used to understand how visitors interact with the website. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec By clicking Check Writers Offers, you agree to our terms of service and privacy policy. 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. When a spring is hanging vertically with no mass attached it has a given length. PDF Simple Harmonic Motion - United States Naval Academy be sure to rename the lab report template file. system is oscillating? State the given vector. Aim: Therefore, if we know the mass of a body at equilibrium, we can determine If the body in Figure 4 is displaced from its equilibrium position some 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. V Conclusion This experiment for the observation of simple harmonic EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. when the mass increases the frequency decreases. In this lab, we will observe simple harmonic motion by studying masses on springs. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . ;E8xhF$D0{^eQMWr.HtAL8 and fill in the relevant information Hooke's Law and the Simple Harmonic Motion of a Spring Lab This cookie is set by GDPR Cookie Consent plugin. Legal. Each person in the group All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. We also use third-party cookies that help us analyze and understand how you use this website. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . James Allison. . The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). When the body The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. In Simple harmonic motion, the mean position is a stable equilibrium. indicates that the spring is stiff. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. >> 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.