We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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. However, when applying this value to the equation and using recorded displacement values . We recorded these oscillations with data studio for about 10 seconds. my lab report for this lab - I earned an A in the lab. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. These Science essays have been submitted to us by students in order to help you with your studies. oscillating body and the spring constant, It does not store any personal data. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. This is shown below in Graph 1 below is for all the masses. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. where Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 2). position regardless of the direction of the displacement, as shown in 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. 2: Spring attached to the free end of the beam The spring force must balance the weight of the added mass Damped Harmonic Motion Lab Report. 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. However, you may visit "Cookie Settings" to provide a controlled consent. It should be noted that the period of means the spring is soft. In order to conduct the experiment properly, must you consider the position C- Error for parallax . interesting expression for its period by looking into it a little more. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. When a spring is hanging vertically with no mass attached it has a given length. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. 692. They force always acts to restore, or return, the body to the equilibrium The cookie is used to store the user consent for the cookies in the category "Other. The naming convention is as 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. , Each person should . an academic expert within 3 minutes. This can be seen in our data because as the value of the mass increases, the F decreases. each individual of the group. record in order to take data for a Hooke's Law experiment when the spring-mass 10 0 obj 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. Lab. This was proved experimentally with incredible accuracy. A pendulum is a simple set up in which a string is attached to a small bob. 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. After this data was collected we studied to determine the length of the period of each oscillation. The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. 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. Then a spring was hung from the sensor and it was torn to a zero point. the spring force acting on the body. of the spring force equals the weight of the body, We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. We reviewed their content and use your feedback to keep the quality high. Procedure. this equation can be written as. ?? The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. where How will you decrease the uncertainty in the period measurement? 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. These cookies ensure basic functionalities and security features of the website, anonymously. 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. 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. 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. This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. Then a spring was hung from the sensor and it was torn to a zero point. Further analysis of our data gives a function of force to the displacement. should print-out the Questions section and answer them individually. 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. , 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. From your data and graph in Objective 1, what is the. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. How is this >> I). The cookie is used to store the user consent for the cookies in the category "Analytics". (download the rest of the essay above). Two types of springs (spring I and II) with . and then released, it will oscillate about the equilibrium position. In other words, the spring 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. to the minimum displacement 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. They must be answered by 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. These Nudge Questions are to Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Does the best-fit line of your graph fall within the data points' error based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Simple harmonic motion is governed by a restorative force. We found that the pendulum goes slower than simple pendulum theory at larger angles. values. Yes! . - 8:30 p.m. April 2016 We also use third-party cookies that help us analyze and understand how you use this website. . period of 0.50s. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. Sample conclusion for a pendulum experiment lab. Does the value of the oscillation amplitude affect your results? and then back to the position For the lab, we first attacheda spring to the ring stand. If an applied force varies linearly with position, the force can be defined as write a lab report with the following components: title, objective, materials, procedure, data, data . First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. 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. 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 \(20\). experiences a force that is linearly proportional to its displacement but 9: Small weights Keeping the paper taut The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. Mass is added to a vertically hanging rubber band and the displacement We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. Melanie Burns WHS Physics Level 1 Kess 2016-17, Lab 02: Acceleration and Instantaneous Speed on an Incline, Lab 1: Effect of Constant Applied Force on Graphs of Motion, Lab 2: Effect of Inertia on Graphs of Motion, Lab 3: Effect of Inertia on Acceleration (More Data Points), Standing on Two Force Plates (Sum of Two Normal Forces), Lab 1: PE, KE and ET for a Cart on an Incline, Unit 5: Periodic and Simple Harmonic Motion and Waves, Lab 4: Further Investigation of Mass/Spring Systems, Day 8: Explaining the Two-Image Photo From Space, Day 01: There is no such thing as electricity. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Students looking for free, top-notch essay and term paper samples on various topics. The spring constant is an indication of the spring's stiffness. 1: Rectangular beam clamped one one end and free on the other The values were subtracted by one another to give a period the results are shown in table 2.1. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. = ln A0 / A1 After this data was collected we studied to determine the length of the period of each oscillation. 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) . This was the most accurate experiment all semester. This sensor was set to a frequency of . Generally speaking, springs with large 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). Conversely, an increase in the body's mass We do NOT offer any paid services - please don't ask! This cookie is set by GDPR Cookie Consent plugin. 206Conclusion Sample-2004 206ConSam. , For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. This was shown clearly in our data. [2] North Carolina State University Physics. 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. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. /Registry (Adobe) This period is defined as where, . This restoring force is what causes the mass the oscillate. CUPOL experiments This conclusion meets our objective to find the relationship between Mass and F in 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. 5: A felt-tipped pen attached to the end of the beam as you perform the experiment. TA. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. . experiment (MS Word format): As of now, there are no 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. 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. 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. 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.
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simple harmonic motion lab report conclusion