4. A frictionless particle P, starting from rest at time t=0 at the point (a, 0, 0), slides down the

conical helix r = a e, z = be under the influence of gravity, as in the accompanying figure.

a. Express the angular velocity de/dt as a function of e.

b. Express and Plot the distance the particle travels along the helix as a function of e.

Conical helix

r=a0.z-be

Cone zar

Positive z-axis points down.

(CLO 4)

(3 Marks)