Classical Mechanics (Kibble & Berkshire) · Problem 1.16

Velocity, acceleration and scalar angular velocity — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · tangent-normal-vectors-curvature

Problem

Find the unit tangent vector, the unit normal vector and the curvature of the circle

x = a\cos\theta

y = a\sin\theta

z = 0

at the point with parameter

\theta