Question

(a) Let v(r) be a scalar function of r, where r V +y? +22 (i) Show that (i) If F Vu) evaluate Jc Fdr where C is straight line going from the point defined by vector r1 to the point defined by r2 (b) Consider a body with a surface defined by 2(x2 + y2) + 4z2 1 (i) Sketch the body (ii) Calculate the moment of inertia I, with respect to the z-axis, i.e. Hint: apply the generalized spherical coordinates sin psin 2 and identity 3 sin θ-sin 3θ 4

Help please. I would really appreciate clear, full explanation of the method used. like and comment are rewarded for good answer.

Answer 1

Ly) o 227 Similon 2

ro. d r d y 2 2 2

o)

0 5 5 2 2 5 0

2 9 22 22 y 2 212 у 22 N2 Y 2 V2 2

do 4 θ지 1 2_ 牛 2 0 20