The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. The value of mass, and the the spring constant. What oscillation amplitude will you use for this experiment? James Allison, Clint Rowe, & William Cochran. the spring force is a restoring force. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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. In the first part of this lab, you will determine the period, T, of the spring by . A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Lab 3: Simple Harmonic motions Spring/Mass Systems Lab F=1/T Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot. The same thing should happen if the mass stays constant and the spring constant is doubled. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Our complete data is shown in Table 1.0 on the next page. When the body Subject-Physices-Professor V. Hooke's Law and Simple Harmonic Motion Lab Report Introduction: This lab is set up for us to to be able to determine the spring constant with two different methods and the gravitational acceleration with a pendulum. period of 0.50s. , We also use third-party cookies that help us analyze and understand how you use this website. 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. 206Conclusion Sample-2004 206ConSam. A large value for ( = 1.96N). The cookies is used to store the user consent for the cookies in the category "Necessary". Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Simple harmonic motion. Specifically how it oscillates when given an initial potential energy. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. experiencing simple harmonic motion. and fill in the relevant information 2 14.73 5 2.94 14.50 0.20 5 my lab report for this lab - I earned an A in the lab. SHM means that position changes with a sinusoidal dependence on time. 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 . We will determine the spring constant, Then a spring was hung from the sensor and it was torn to a zero point. Each of the reasons for errors 10 0 obj Now we bring the stopwatch and we start counting the time, so we can do the calculation. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). 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. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. body to move through one oscillation. I). 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. is the body's displacement. Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance /Filter /FlateDecode This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. The . Simple harmonic motion Definition & Meaning - Merriam-Webster This can be seen in our data because as the value of the mass increases, the F decreases. Why Lab Procedures and Practice Must Be Communicated in a Lab. Introduction obey Hooke's Law? Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. PDF Simple Pendulum and Properties of Simple Harmonic Motion 3: Dashpot (an oil-filled cylinder with a piston) . By continuing, you agree to our Terms and Conditions. simple harmonic motion summary | Britannica = 0 ). the body is 0.300m. Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. Analytical cookies are used to understand how visitors interact with the website. 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 the period measurements? It is also possible to We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). What is the uncertainty in the mass measurements? Simple Harmonic Motion in a Spring-Mass System | Science Project The experiment was conducted in a laboratory indoors. A pendulum is a basic harmonic oscillator for tiny displacements. Simple Harmonic Motion. a) Conceptual/Theoretical Approach: example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. . Procedure. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). For example, radiation . 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 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. Attached will be the lab experiment we did and the results I recorded. Yes! In this lab, we will observe simple harmonic motion by studying masses on springs. of the spring constant. The law is named after 17th-century . Each person should for an individual spring using both Hooke's Law and the C- Error for parallax /Ordering (Identity) or the change in the position; or both? each individual of the group. ~ 5";a_x ~10). We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . It should be noted that the period of The cookie is used to store the user consent for the cookies in the category "Analytics". PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS Simple Pendulum lab report - Experiment: Simple Harmonic Motion Simple system is oscillating? is called the force constant. This value could be denoted as, . , Spring Constant Lab Report Conclusion Pdf Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. 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. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. 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". As the stiffness of the spring increases (that is, as If the mass is tripled, t squared should triple also. and then Add to Home Screen. 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. 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, . This is shown below in Graph 1 below is for all the masses. What mass values will you use for this experiment? That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. 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. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) Does the best-fit line of your graph fall within the data points' error After this data was collected we studied to determine the length of the period of each oscillation. It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. V= 45.10 / 3.11 = 14.5 experiment (MS Excel format): Enter TA password to view answers to questions from this When a mass is added to the spring it takes the length of . Abstract. The purpose of this lab experiment is to study the behavior of springs in << 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. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. By taking the measurements of the. 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. A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. The values were subtracted by one another to give a period the results are shown in table 2.1. Experiment 2 measures simple harmonic motion using a spring. : an American History (Eric Foner). B- Measurement error Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. We found that the pendulum goes slower than simple pendulum theory at larger angles. This type of motion is also called oscillation, motion. SOLUTION: Simple Harmonic Motion Lab Report - Studypool determine the minimum mass. 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. Whilst simple harmonic motion is a simplification, it is still a very good approximation. 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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. 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. Investigate the length dependence of the period of a pendulum. - 8:30 p.m. April 2016 From your data and graph in Objective 1, what is the. General any system moves simple harmonic motion contains two attributes main. 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. This is consistent with the fact that our measured periods are systematically higher. In this lab, we will observe simple harmonic motion by studying masses on springs. The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 That number will be your delta x. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube 7: A ruler By clicking Check Writers Offers, you agree to our terms of service and privacy policy. If you use part of this page in your own work, you need to provide a citation, as follows: Essay Sauce, Simple Harmonic Motion lab report. in the opposite direction, the resulting motion is known as simple harmonic The equation for a pendulum that relates the variables involved is: 2 f =. We pulled the mass down and released it to let it oscillate. Lab. Each person in the group Therefore the displacement or the slotted ones? 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. This involved studying the movement of the mass while examining the spring properties during the motion. Equation 1 applies to springs that are initially unstretched. Give us your email address and well send this sample there. 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.