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Al P
Lv 7
Al P 發問於 Science & MathematicsPhysics · 10 年前

It is nice to go fishing again?

A shark in the ocean, initially hanging motionless on a spring scale

is suddenly whacked by a meteorite of equal mass. The resulting

motion of the shark is given by: f(t)=e^(-[π/200]t)sin( [(a+b]/a)/8] * t) = δ(t)

where a / b = (a+b) / a and (a,b) are segments of a straight line.

What is the mass of the meteorite?

Thank you.

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  • 10 年前
    最愛解答

    Looking at this only briefly it looks like a damped oscillator problem that you need to tie together with a conservation of momentum calculation for the collision between meteorite and shark.

    And the a,b business just looks like a way to put in the golden ratio ... if memory serves [a+b]/a ought to be 1.618 or so.

    Whoever dreamed up this problem must have been up too late grading exams.

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