A shown in Figure, a person A is standing at he centre of a rotating platform facing person B who is riding a bicycle, heading East. The relevant speeds and distances are shown in given figure person, a bicycle, heading East. At the instant under consideration, what is the apparent velocity of B as seen by A?

A mass of 35 kg is suspended from a weightless bar AB which is supported by a cable CB and a pin at A as shown in. The pin reactions at A on the bar AB are

Match 4 correct pairs between List $$I$$ and List $$II$$. No credit will be given for partially correct matching

List $$I$$
(a) Collision of particles
(b) Stability
(C) Satellite motion
(D) Spinning top

List $$II$$
(1) Euler’s equation of motion
(2) Minimum kinetic energy
(3) Minimum potential energy
(4) Impulse-momentum principle
(5) Conservation of moment of momentum

A rod of length 1m is sliding in a corner as shown in. At an instant when the rod makes an angle of 60 degrees with the horizontal plane, the velocity of point A on the rod is 1m/s. The angular velocity of the rod at this instant is