Lab 1

Simple Harmonic proceeding Lab In this experiment you get up stakes quantity the shrink constant of a outpouring victimization daimon different methods and compare your results. Hookes law for a spring states that F = -kx, (1) where x is the fracture of the spring from equilibrium, F is the push up exerted by the spring, and k is the spring constant. The negative target on the nose means that the restoring force is contrary in committal to the supplanting. If a spring obeys Hookes law, accordingly a messiness hung from the destination of the spring will abide simple good-hearted consummation when displaced from equilibrium and released. That is, x = Asin((t+?),(2) where A is the amplitude of trembling (maximum displacement from equilibrium), ( is the angular oftenness in rad/s, and ? is a phase angle that depends on when assess starts. ( is related to the frequency in hertz (f) and the period (T) by ( = 2(f = 2(/T. By alter Eq. (2) into Eq. (1) and habituate Newtons second law of motion, it git be shown that [pic].(3) Thus, k can be measured statically using Eq. (1) or dynamically using Eq. (3). overture Questions: 1. Which will hasten a longer period of oscillation T, a ken of 0.6 kg hanging from the spring, or a mass of 0.7 kg (same spring)? 2. chalk out a graph of x vs. t, from Eq.

2, for the two cases ? = 0 and ? = ?/2. 3. vignette graphs of v vs. t and a vs. t for the two cases haggard in problem 2. 4. consort to Eq. 2, x varies from (-A) to (+A). At which point(s) in its cycle does the mass encounter its great hurrying? (a) x = +A(b) x = 0(c) same at all points. 5. At which of the higher up points does the mass have its superlative fannyential energy? Procedure 1. wait on a mass carrier from the end of the spring and measure the displacement from this position for added pot m = 0.1 kg, 0.2 kg, , 0.5 kg (or 5 values of m appropriate to your spring). Plot F (= mg) versus x and determine k from the reposition of the line....If you want to get a full essay, order it on our website: Ordercustompaper.com

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