Bouncing Spring Problem: A weight is suspended on a spring above a table top. As the

Chapter 4, Problem 27

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Bouncing Spring Problem: A weight is suspended on a spring above a table top. As the weight bounces up and down, friction decreases the amplitude of the motion. Figure 4-2c shows the displacement, y(t), in centimeters, as a function of time, t, in seconds. Figure 42c a. If y(t ) = 4 + 3e0.1t cos t, find an equation for the velocity, v(t ). b. There appears to be a high point at t = 2. Show that this is not a high point by showing that v(2) 0. Set v(t) = 0 and solve numerically to find the t-value of the high point close to t = 2.

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