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The wheel is free to rotate about the origin.

One end of a rigid rod of length 3 feet is attached to a wheel of radius 1 foot, centered at the origin. The wheel is free to rotate about the origin. As the wheel rotates, the right end of the rod (the point labeled X in the figure) slides along the x-axis. Image link:

(a) Find an equation relating X and θ.

(b) Suppose that when θ = π/3, the right end of the rod is moving to the right at a rate of0.5 ft/sec. How fast (in radians per second) is θ changing when θ = π/3?

Top Answer

a) When  θ = 0 rad then rod  end at X= 4ft When  θ =pi rad rod right end at X... View the full answer

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