Question

Conservation of momentum and angular momentum. Which components of momentum P and angular momentum L are conserved in motion in the following fields? Please explain in detail.

(a) the field of an infinite homogeneous plane (say x-y plane)

(b) that of an infinite homogeneous cylinder (assume the axis of cylinder is along the z direction)

(c) that of an infinite homogeneous prism (assume the edges of the prism is parallel to the z direction)

(d) that of two points (the line joining the points is the z-axis)

(e) that of an infinite homogeneous half-plane (assume the edge of the half-plane the y-axis)

(f) that of a homogeneous cone (axis of the cone is the z-axis)

(g) that of a homogeneous circular torus (axis of the torus is the z-axis)

(h) that of an infinite homogeneous cylindrical helix (axis of the helix is the z-axis)

Answer 1