Angular momentum is
vector (axial)
vector (polar)
scalar
None of these
A spherical ball rolls on a table without slipping. Then the fraction of its total energy associated with rotation is
The angular momentum of a body with mass(m) moment of inertia (I) and angular velocity (ω)rad/s is equal to
Iω
Iω2
At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact. This axis is translating forward with speed
equal to centre of mass
zero
twice of centre of mass
Data is insufficient
A solid sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on the inclined plane, then
solid sphere reaches the bottom first
solid sphere reaches the bottom last
disc will reach the bottom first
all reach the botom at the same time
In a carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance 1.12 × 10-10m . The distance of the centre of mass from the carbon atom is
0.64 × 10-10 m
0.56 × 10-10m
0.51 × 10-10m
0.48 × 10-10m
If a flywheel makes 120 rev/min,then its angular speed will be
8π rad/s
6π rad/s
4π rad/s
2π rad/s
If a sphere is rolling, the ratio of the transiational energy to total kinetic energy is given by
7 : 10
2 : 5
10 : 7
5 : 7
A particle of mass m = 5kg is moving with a uniform speed v = 3√2 in the XOY plane along the line Y = X + 4. The magnitude of the angular momentum of the particle about the origin is
60 unit
40 √2 unit
7.5 unit
A spherical solid ball of mass 1 kg and radius 3cm is rotating about an axis passing through its centre with an angular velocity of 50 rad s-1. The kinetic energy of rotation is
9/8 j
9/20 j
90 j
4500 j