A mass is suspended on a spring. The spring is compressed so that the mass is located 3 cm above its rest position. The mass is released at time t = 0 and allowed to oscillate. It is observed that the mass reaches its lowest point 1 4 s after it is released. Find an equation that describes the motion of the mass.

Question

16-07-2021
Physics

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A mass is suspended on a spring. The spring is compressed so that the mass is located 3 cm above its rest position. The mass is released at time t = 0 and allowed to oscillate. It is observed that the mass reaches its lowest point 1 4 s after it is released. Find an equation that describes the motion of the mass.

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Answer:

A mass is suspended on a spring. The spring is compressed so that the mass is located 5 cm above its rest position. The mass is released at time t = 0 and allowed to oscillate. It is observed that the mass reaches its lowest points after it is released. Find an equation that describes the motion of the mass.

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Explanation:

We do not start at y=0y=0 so it is better to use a cosine curve. The hanging string is compressed to a position that is y=5y=5 units above the rest position. Hence, |a|=5∣a∣=5. Also, since we begin at positive values, then a=5a=5.

We begin at the highest point y=5y=5.

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