This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. record in order to take data for a Hooke's Law experiment when the spring-mass is the body's displacement. % 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. Therefore, if we know the mass of a body at equilibrium, we can determine system is oscillating? We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. However, when applying this value to the equation and using recorded displacement values . State the given vector. Course Hero is not sponsored or endorsed by any college or university. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. the spring force is a restoring force. indicates that the spring is stiff. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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: Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 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. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. should print-out the Questions section and answer them individually. /Supplement 0 What is the uncertainty in the period measurements? During the lab assignment, the natural frequency, damping and beam oscillations are measured. 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. This was shown clearly in our data. is the displacement of the body from its equilibrium position (at SHM means that position changes with a sinusoidal dependence on time. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. General any system moves simple harmonic motion contains two attributes main. << Attached will be the lab experiment we did and the results I recorded. example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. Report, Pages 2 (368 words) Views. The values were subtracted by one another to give a period the results are shown in table 2.1. CUPOL experiments body to move through one oscillation. This is consistent with the fact that our measured periods are systematically higher. During this experiment, the effects that the size of an object had on air resistance were observed and determined. ~ 5";a_x ~10). A pendulum is a simple set up in which a string is attached to a small bob. James Allison, Clint Rowe, & William Cochran. This was proved experimentally with incredible accuracy. The law is named after 17th-century . The body , experiment (MS Word format): As of now, there are no Figures 1a - 1c. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . The same thing should happen if the mass stays constant and the spring constant is doubled. The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty.
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