Two particles, each of mass m and speed `v_3` travel in opposite directions along parallel lines separated by a distance d. Show that the vector angular momentum of the two particle system is the same whatever be the point about which the angular momentum is taken.

When a mass is rotating in a plane about a fixed point its angular momentum is directed along

A stationary particle explodes into two particle of masses m1 and m2 and move in opposite directions with velocities v1 and v2.The ratio of their K.E is

Two parallel Co-axial Coils of equal radius R and- numbers of turn N carrying equal currents I in same direction.are separated by a distance | R. Show that the magnetic field intensity B on the axis around the mid point between the coils is uniform over a very small distance as compared to R and is given by- B = (4/5)^(3/2) (mu_0IN)/R

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed 6 m s~1 collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?

Two lines parallel to the y-axis and at a distance of2 units from the x-axis are taken. Another two lines parallel to the x-axis and at a distance of 3 units from the y-axis are also taken. Find the distance of the angular points of the rectangle, formed by the four intersecting line segments, from the origin.

A man is moving with a constant velocity along a line parallel to X-axis away from the origin. Its angular momentum w.r.t origin is [Hint : L = mv times r = constant, as m, v and r are constants]