Find the velocity and acceleration vectors of the particle. Use the results to determine
Chapter 12, Problem 43(choose chapter or problem)
Cycloidal Motion In Exercises 43 and 44, consider the motion of a point (or particle) on the circumference of a rolling circle. As the circle rolls, it generates the cycloid
\(r(t)=b(\omega t-\sin \omega t) i+b(1-\cos \omega t) \mathbf{j}\)
where \(\omega\) is the constant angular velocity of the circle and b is the radius of the circle.
Find the velocity and acceleration vectors of the particle. Use the results to determine the times at which the speed of the particle will be (a) zero and (b) maximized.
Text Transcription:
r(t)=b(omega t-sin omega t) i+b(1-cos omega t)j
omega
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