SI unit of moment of inertia is
kg
kg m2
kg m-2
None of these
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
The angular speed of a body is expressed in
ms-1
rad
rad s-1
N m-1
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
When an explosive shell travelling along a parabolic path under gravity explodes, the centre of mass of the fragments will move
along a hyperbolic path
along the original parabolic path
vertically upwards and then vertically downwards
horizontally and then follows the parabolic path
The total kinetic energy of a rolling solid sphere is (symbols have their usual meanings)
The angular momentum of a body with mass(m) moment of inertia (I) and angular velocity (ω)rad/s is equal to
Iω
Iω2
ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. IAB - IBC and ICA are the moments of inertia of the plate about AB, BC and CA as axes respectively. Which one of the following relations is correct?
IAB > IBC
IBC > IAC
IAB + IBC = ICA
ICA is maximum
The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h from rest without sliding is
The ratio of the SI unit to the C.G.S unit of torque is
107
105
10-7
10-5