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Two masses hanging side by side from springs have positions s1 = 2 sin t and sz = sin 21, respectively. a. At what times in the interval 0 < t do the masses pass each other? (Hint: sin 21 = 2 sin t cos t.) b. When in the interval 0 sIs 27 is the vertical distance be- tween the masses the greatest? What is this distance? (Hint: cos 21 = 2cos't – 1.)

Two masses hanging side by side from springs have positions s1 = 2 sin t and sz = sin 21, respectively. a. At what times in the interval 0 < t do the masses pass each other? (Hint: sin 21 = 2 sin t cos t.) b. When in the interval 0 sIs 27 is the vertical distance be- tween the masses the greatest? What is this distance? (Hint: cos 21 = 2cos't – 1.)

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Two masses hanging side by side from springs have positions s1 = 2 sin t and sz = sin 21, respectively. a. At what times in the interval 0 < t do the masses pass each other? (Hint: sin 21 = 2 sin t cos t.) b. When in the interval 0 sIs 27 is the vertical distance be- tween the masses the greatest? What is this distance? (Hint: cos 21 = 2cos't – 1.)
Transcribed Image Text:Two masses hanging side by side from springs have positions s1 = 2 sin t and sz = sin 21, respectively. a. At what times in the interval 0 < t do the masses pass each other? (Hint: sin 21 = 2 sin t cos t.) b. When in the interval 0 sIs 27 is the vertical distance be- tween the masses the greatest? What is this distance? (Hint: cos 21 = 2cos't – 1.)
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