Identify the increasing order of the angular velocities of the following :1.earth rotating about its own axis2.hour's hand of a clock3.second's hand of a clock4.flywheel of radius 2 m making 300 rpm
A. 1,2,3,4
B. 2,3,4,1
C. 3,4,1,2
D. 4,1,2,3
Two particles P and Q are located at distance rp and rq respectively from the centre of a rotating disc such that rp > rq
A. Both P and Q have the same acceleration
B. Both P and Q do not have any acceleration
C. P has greater acceleration than Q
D. Q has greater acceleration than P
Two solid spheres (A and B) are made of metals of different densities and ρA and ρB respectively. If their masses are equal, the ratio of their moments of inertia {IB/IA) about their respective diameter is
A. (ρB /ρA )2/3
B. (ρA /ρB )2/3
C. (ρA /ρB )
D. (ρB /ρA )
A uniform rod of length 8a and mass 6m lies on a smooth horizontal surface. Two point masses m and 2m moving in the same plane with speed 2 v and v repectively strike the rod perpendicularly at distances a and 2a from the mid point of the rod in the opposite directions and stick to the rod. The angular velocity of the system immediately after the collision is:
A. 6v/32a
B. 6v/33a
C. 6v/40a
D. 6v/41a
A thin metal disc of radius 0.25 m and mass 2 kg starts from rest and rolls down an Inclined plane. If its rotational kinetic energy is 4 J at the foot of the inclined plane, then its linear velocity at the same point is:
A. 1.2 m/s
B. 2√2 m/s
C. 20 m/s
D. 2 m/s
A wheel has a speed of 1200 revolution per minute and is made to slow down at a rate of 4 radian/sec2. The number of revolutions it makes before coming to rest is :
A. 143
B. 272
C. 314
D. 722