Consider the motion of a point (or particle) on the circumference of a rolling circle. As the
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Consider the motion of a point (or particle) on the circumference of a rolling circle. As the circle rolls, it generates the cycloid
where ω is the constant angular velocity of the circle and b is the radius of the circle.
Find the maximum speed of a point on the circumference of an automobile tire of radius 1 foot when the automobile is traveling at 60 miles per hour. Compare this speed with the speed of the automobile.
Transcribed Image Text:
r(t) = b(wt - sin oot)i + b(1 − cos wt)j -
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rt bot sin ooti b1 sin ooti b1 vt ba1c cos tj 1 cos ti sin ...View the full answer
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