All Problems

Kinematics

Problem 1.26

A point moves in the plane xyx y according to the law xx =asinωt,y=a(1cosωt),=a \sin \omega t, y=a(1-\cos \omega t), where aa and ω\omega are positive constants. Find: (a) the distance ss traversed by the point during the time τ\tau; (b) the angle between the point's velocity and acceleration vectors.

Reveal Answer
 (a) s=aωτ :  (b) π/2 . \text { (a) } s=a \omega \tau \text { : } \text { (b) } \pi / 2 \text { . }