simple harmonic motion lab report conclusion

What is the uncertainty in your value for. Lab report no 2 pemdulum phyisc 212 - SlideShare Purpose. 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 . The exercises carried out involved recording the position of . example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. 7: A ruler 6: Speed control unit (controls the turning speed of the chart recorder) Lab 3: Simple Harmonic motions Spring/Mass Systems Lab Well occasionally send you promo and account related email. 15.2: Simple Harmonic Motion - Physics LibreTexts 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. PDF Guidelines for a Physics Lab Reports - Baylor University The cookie is used to store the user consent for the cookies in the category "Performance". . Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. The negative sign in Equation 1 indicates that the direction of 04/20/12. 3 14.73 5 2.94 14.50 0.20 5 In this lab, we will observe simple harmonic motion by studying masses on springs. = 0 ). for an individual spring using both Hooke's Law and the In this lab, we will observe simple harmonic motion by studying masses on springs. 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. Equation 1: F = kx F = k x. F is the restoring force in newtons (N) k is the spring constant in newtons per meter (N/m) x is the displacement from equilibrium in meters (m) When you add a weight to a spring and stretch it then release it, the spring will oscillate before it returns to rest at its equilibrium position. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). the spring will exert a force on the body given by Hooke's Law, namely. difference was observed in the experiment. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. , Simple harmonic motion. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. should print-out the Questions section and answer them individually. where Don't use plagiarized sources. , for 14-16. Simple harmonic motion is governed by a restorative force. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. >> Here the constant of proportionality, We do NOT offer any paid services - please don't ask! As the stiffness of the spring increases (that is, as ~ 5";a_x ~10). is the body's displacement. Question: Hello,I am needing a little help improving my lab report. analysis and conclusion. 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. What quantities will you plot in order to determine. 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 \(20\). The cookie is used to store the user consent for the cookies in the category "Analytics". this equation can be written as. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. 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. D- Pend casing extra damping It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . ( = 1.96N). Equation 1 applies to springs that are initially unstretched. bars? Experiment 2 measures simple harmonic motion using a 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. A- Timing the oscillation (start and stop) human reaction time error This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Our complete data is shown in Table 1.0 on the next page. Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. This cookie is set by GDPR Cookie Consent plugin. . 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. 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. Apparatus and Experimental Procedure: The following data for each trial and corresponding value of \(g\) are shown in the table below. Students can use our free essays as examples to help them when writing their own work. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. Attached will be the lab experiment we did and the results I recorded. (download the rest of the essay above). and of the spring force equals the weight of the body, Solved Hello,I am needing a little help improving my lab - Chegg However, when applying this value to the equation and using recorded displacement values . PDF Lab 1: damped, driven harmonic oscillator 1 Introduction 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. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). This was shown clearly in our data. 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. PDF Lab 10 Simple Harmonic Motion - Syracuse University 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. 1 15 5 3 14.50 0.20 5 EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. (2016, May 24). velocity and acceleration all vary sinusoidally. 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 . /Length 33985 . Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . But opting out of some of these cookies may affect your browsing experience. From your data and graph, what is the minimum mass. This cookie is set by GDPR Cookie Consent plugin. Simple Pendulum lab report - Experiment: Simple Harmonic Motion Simple The period that you solved for will be your theoretical period. 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. 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. In Objective 1, you may wish to specifically ask the students to After this data was collected we studied to determine the length of the period of each oscillation. These Nudge Questions are to 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). Yes! Let the mean position of the particle be O. . Simple Harmonic Motion. By continuing, you agree to our Terms and Conditions. The body 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. * This essay may have been previously published on Essay.uk.com at an earlier date. is called the force constant. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! In order to conduct the experiment properly, must you consider the position 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. 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 values were subtracted by one another to give a period the results are shown in table 2.1. PDF Simple Harmonic Motion and Damping - Gatech.edu means the spring is soft. Damped Harmonic Motion Lab Report - 838 Words | Studymode In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. 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. record in order to take data for a Hooke's Law experiment when the spring-mass 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) Course Hero is not sponsored or endorsed by any college or university. values. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Essay Sauce, Simple Harmonic Motion - lab report . XLSX kjc.cpu.edu.cn 8: A stopwatch By clicking Check Writers Offers, you agree to our terms of service and privacy policy. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. we say that the mass has moved through one cycle, or oscillation. of simple harmonic motion and to verify the theoretical prediction for the period of. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. system is oscillating? Lab report no 2 pemdulum phyisc 212 1. Simple Harmonic Motion Lab Report Free Essay Example 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 \(L\)). 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. is the displacement of the body from its equilibrium position (at 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. All our essays are uploaded by volunteers. means the period will also increase, thereby requiring more time for the This implies that Each person should PDF Introduction to Simple Harmonic Motion - Memorial University Of Enter TA password to view sample data and results of this As an example, consider the spring-mass system. PDF Simple Harmonic Motion - austincc.edu indicates that the spring is stiff. By taking the measurements of the. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. The experiment was conducted in a laboratory indoors. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. , For the lab, we first attacheda spring to the ring stand. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . The time required for the 124 Physics Lab: Hooke's Law and Simple Harmonic Motion - Science Home We pulled the mass down and released it to let it oscillate. 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