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Computer] Consider a cart on a spring with natural

Chapter 5, Problem 5.31

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QUESTION:

Computer] Consider a cart on a spring with natural frequency wo = 2n, which is released from rest at xo = 1 and t = 0. Using appropriate graphing software, plot the position x (t) for 0 < t < 2 and for damping constants ,8 = 0, 1, 2, 4, 6, 27r, 10, and 20. [Remember that x(t) is given by different formulas for ,8 < we, = coo, and /3 > cool

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QUESTION:

Computer] Consider a cart on a spring with natural frequency wo = 2n, which is released from rest at xo = 1 and t = 0. Using appropriate graphing software, plot the position x (t) for 0 < t < 2 and for damping constants ,8 = 0, 1, 2, 4, 6, 27r, 10, and 20. [Remember that x(t) is given by different formulas for ,8 < we, = coo, and /3 > cool

ANSWER:

Step 1 of 2

We consider the cart with natural frequency  and the initial position  is  at  .

We are to plot the position x (t) for 0 < t < 2 and for damping constant .

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