$${i^i}$$, where $$i\, = \,\sqrt { - 1} $$ is given by

A wheel of mass m and radius r is in accelerated rolling motion without slip under a steady axial torque $$T$$. If the coefficient of kinetic friction is $$\mu $$, the friction force from the ground on the wheel is

AB and CD tow uniform and identical bars of mass 10kg each, as shown. The hinges at A and B are frictionless. The assembly is released from rest and motion occurs in the vertical plane. At the instant that the hinge B passes the point B, the angle between the two bars will be

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