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 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 

(b) Maximized

Transcribed Image Text:

r(t) = b(wt - sin oot)i + b(1 − cos wt)j -