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An object, oscillating harmonically in the x-coordinate, follows a trajectory described by the following equation: x(t) = 3.83 cm *sin(4.18 s-1 *t).
(a) Where is the object when t=37.3 s?
(b) What is its speed at t=37.3 s?
(c) What is the maximum speed attained by the object?
(d) Where are the turning points for this oscillator?
(e) In which 10% of the distance between the turning points does the oscillator spend the least amount of time?
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Compute the final equilibrium temperature.
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Let us take half the terminal speed as a reasonable "upper bound" beyond which we should not use our constant acceleration free-fall relationships.
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