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The displacement of a structure is defined by the following equation for a damped oscillation:
y = 9e-kt cos wt
where k = 0.7 and w = 4.
(a) Use the graphical method to make an initial estimate of the time required for the displacement to decrease to 3.5.
(b) Use the Newton-Raphson method to determine the root to es = 0.01%.
(c) Use the secant method to determine the root to es = 0.01%.
a uniform meter stick with a mass of 135 g rotates about an axis perpendicular to the stick passing through the center
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Hubble Space Telescope resolves sources
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A wheel is spinning at 10 rad/s. It undergoes an angular acceleration of 8rad/s2 until it reaches an angular velocity of 354 rad/s. Decide how long it took to spin up. Determine how many revolutions it made while spinning up.
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Suppose a car is traveling at +21.1 m/s, and the driver sees a traffic light turn red, What is the stopping distance of the car, as measured from the point where the driver first notices the red light
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