Question: 45. In class, simple harmonic motion was introduced using the idea of a turntable with a sharpie attached to it. The turntable/sharpie setup was

45. In class, simple harmonic motion was introduced using the idea of

45. In class, simple harmonic motion was introduced using the idea of a turntable with a sharpie attached to it. The turntable/sharpie setup was illuminated such that the shadow of the sharpie moves back and forth with harmonic motion as the turntable spins around. Now, imagine a second identical turntable is spinning with the same rotational speed is placed behind the first turntable. As both turntables spin, there will be two shadows bouncing back and forth between Xm* and Xm. The first turntable has a phase constant of zero radians and the second turntable has a phase constant of /6 radians. Both shadows complete one cycle in 1.50 s. What is the maximum separation distance (in terms of Xm) between the two shadows? If the shadow in the lead is at xm* at t = 0 s, at what time will the lagging shadow reach Xm*?

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