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vazorg [7]
3 years ago
6

Câu 2 : Một vật dao động điều hòa với phương trình : x = 5cos(4πt – π/3) (cm)

Physics
1 answer:
fredd [130]3 years ago
5 0

Li độ cực đại x=A=5 cm

Chu kỳ T= \frac{2\pi }{4\pi } = 0.5s

Tần số f= 1/T = 2Hz

Pha ban đầu = -π/3

x(0) = 2.5cm

x(2)= 2.5cm

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Answer:

t = 1.82

Explanation:

Given

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Required

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This will be solved using the following motion equation.

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Subtract 30.2 from both sides

30.2 -30.2  = 7.70t + 4.9 * t^2 - 30.2

0  = 7.70t + 4.9 * t^2 - 30.2

0  = 7.70t + 4.9t^2 - 30.2

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t = \frac{-7.70\±\sqrt{7.70^2 - 4*4.9*-30.2}}{2*4.9}

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t = \frac{-7.70\±25.52}{9.8}

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t = \frac{-7.70+25.52}{9.8} or t = \frac{-7.70-25.52}{9.8}

t = \frac{17.82}{9.8} or t = -\frac{33.22}{9.8}

Time can't be negative;  So, we have:

t = \frac{17.82}{9.8}

t = 1.82

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