Fiveash_Lab5.pdf - Lab 5 Zachary Fiveash MAT 275 Lab The...

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Lab 5 - Zachary Fiveash - MAT 275 Lab The Mass-Spring System EX 1 A) The curve in blue (with 'o' symbols) represents the equation y=y(t). The curve starts from a non-zero initial value which is a give away that it a mass-spring system is displaced by some initial displacement: given by y. The other curve in red (with '+' symbols) starts from an origin indicating the spring is at rest (null velocity) at t = 0; this represents velocity of y'(t). B) The curve of y(t) in blue is aproximately equal to 3.097 or 3.1s. Since w=2 rad/s, the time period T is given by the following equation: T=2pi/w. Putting w=2, we get T=3.1s ; which agrees with the value obtained graphically. C) Ideally the mass would not come to rest. If the spring is deal as well as all other damping factors that may oppose the motion of the mass. If there are no other forces such as friction the mass should oscillate indefinitely. If you take the damping forces into consideration, the mass will come to rest after a period. A real-world scenario would see the mass eventually come to rest after a period of oscillation. D) The maximum amplitude of oscillation of 'y' is 0.8134.
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