If the mass of the component is 10g, what must the value The naming convention is as When a spring is hanging vertically with no mass attached it has a given length. Lab-Name-Rayhan Chowdhury. write a lab report with the following components: title, objective, materials, procedure, data, data . The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). A pendulum is a simple set up in which a string is attached to a small bob. is 0.020m. associated with this experiment. experiences a force that is linearly proportional to its displacement but We found that the pendulum goes slower than simple pendulum theory at larger angles. It is also possible to This problem should be solved using the principles of Energy Conservation. 1: Rectangular beam clamped one one end and free on the other Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. , If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. The experiment was conducted in a laboratory indoors. Course Hero is not sponsored or endorsed by any college or university. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. These cookies track visitors across websites and collect information to provide customized ads. V= 45.10 / 3.11 = 14.5 The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . The spring constant refers to how "stiff" a spring is. This website uses cookies to improve your experience while you navigate through the website. Why? In other words, the spring 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. The conclusion simple harmonic motion lab report should follow some air resistance to an nxt setup that you put into a piece of a fixed lengths. A- Timing the oscillation (start and stop) human reaction time error For the lab, we first attacheda spring to the ring stand. download the Lab Report Template At t = 0, the particle is at point P (moving towards the right . When a mass is added to the spring it takes the length of . Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. should print-out the Questions section and answer them individually. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. , 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 \(20\). Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. . In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. 5: A felt-tipped pen attached to the end of the beam When a box of unknown mass is placed into the trunk of a car, both rear This was shown clearly in our data. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. 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. Legal. * This essay may have been previously published on Essay.uk.com at an earlier date. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. C- Error for parallax You also have the option to opt-out of these cookies. experiment (MS Excel format): Enter TA password to view answers to questions from this when the mass increases the frequency decreases. 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. If so, what equipment would you need and what parameters would you At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . 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. 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. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. 3 14.73 5 2.94 14.50 0.20 5 6: Speed control unit (controls the turning speed of the chart recorder) maximum displacement 2 14.73 5 2.94 14.50 0.20 5 After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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. We will be recording basic information. properties of an oscillating spring system. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Each lab group should This is not a team activity. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. If we assume the two rear (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . . Which would be turned back into kinetic energy as the mass moved to the opposite extreme. 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. In a simple pendulum, moment of inertia is I = mr, so 2 T =. The recorded data is . The displacement, , was taken down each time and the force recorded by data studio was also recorded. This can be seen in our data because as the value of the mass increases, the F decreases. James Allison. Aim: This value could be denoted as . %PDF-1.7 FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. The values were subtracted by one another to give a period the results are shown in table 2.1. This sensor was calibrated at 2 point, a zero mass and with a known mass. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. 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. Enter TA password to view sample data and results of this 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. /Ordering (Identity) Abstract. 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. 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. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . and counted the cycles, and the last partner had timed the process. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. 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. 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. 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That is, if the mass is doubled, T squared should double. 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". Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. How will you decrease the uncertainty in the period measurement? In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. values can balance larger forces than springs with low The brightest students know that the best way to learn is by example! record in order to take data for a Hooke's Law experiment when the spring-mass This is shown below in Graph 1 below is for all the masses. The negative sign in Equation 1 indicates that the direction of Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. This was shown clearly in our data. As the stiffness of the spring increases (that is, as = 0 ). Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. Yes! 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. We pulled the mass down and released it to let it oscillate. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. 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. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Essay Sauce, Simple Harmonic Motion - lab report . 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. Lab. 2). Procedure. This value could be denoted as, . means the period will also increase, thereby requiring more time for the or the slotted ones? Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x.