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Q 01 / 25
The centre of mass of a system of particles always lies on one of the particles.
Q 02 / 25
For a system of particles with no external force, the velocity of centre of mass remains constant.
Q 03 / 25
In pure translation of a rigid body, all particles have the same velocity at any instant.
Q 04 / 25
The position of the centre of mass of a uniform rod is always at its geometrical centre.
Q 05 / 25
Torque is a scalar quantity because it is the product of force and perpendicular distance.
Q 06 / 25
A rigid body under the action of several forces can be in translational equilibrium even if the net torque is not zero.
Q 07 / 25
A body can have zero net force and still have non-zero angular acceleration about some point.
Q 08 / 25
The moment of inertia of a body depends only on its total mass, not on how that mass is distributed.
Q 09 / 25
For a given rigid body and axis, the moment of inertia remains constant even if its angular velocity changes.
Q 10 / 25
The SI unit of moment of inertia is kg m2^{2}2.
Q 11 / 25
For a symmetric rigid body, the centre of mass and the geometric centre always coincide, irrespective of mass distribution.
Q 12 / 25
The angular momentum of a particle about a point depends on the choice of that point.
Q 13 / 25
If no external torque acts on a system, its angular momentum about any fixed point must be zero.
Q 14 / 25
In pure rolling without slipping on a horizontal surface, the velocity of the point of contact with the ground is zero relative to the ground.
Q 15 / 25
In pure rolling without slipping, translational kinetic energy is always greater than rotational kinetic energy for any rigid body.
Q 16 / 25
For a rigid body rotating about a fixed axis, all points of the body have the same angular velocity but different linear speeds.
Q 17 / 25
For any rigid body rotating about a fixed axis, angular momentum is always parallel to angular velocity.
Q 18 / 25
The parallel axis theorem allows calculation of moment of inertia about any axis parallel to one through the centre of mass.
Q 19 / 25
The perpendicular axis theorem is applicable to any three-dimensional rigid body.
Q 20 / 25
If a spinning skater pulls in his arms, his angular velocity increases because his internal forces produce a net external torque.
Q 21 / 25
For a uniform disc and a uniform ring of the same mass and radius rolling without slipping with the same linear speed, the ring has greater total kinetic energy.
Q 22 / 25
For a rigid body rolling without slipping down an incline, a larger moment of inertia (for fixed mass and radius) leads to a larger linear acceleration of the centre of mass.
Q 23 / 25
In a central explosion of a projectile in flight (no external forces other than gravity), the centre of mass of all fragments continues to follow the same parabolic trajectory as the original projectile.
Q 24 / 25
A force whose line of action passes through the centre of mass of a rigid body can never change the body’s rotational state about any axis.
Q 25 / 25
For a rigid body rotating freely in space with no external torque, its rotational kinetic energy must remain constant even if the axis about which it spins in space changes.

Frequently Asked Questions

A system of particles is a collection of two or more particles considered together to study their combined motion.

Studying systems simplifies analysis by focusing on collective properties like centre of mass and total momentum.

A rigid body is an ideal body in which the distance between any two particles remains constant under applied forces.

It is motion in which all particles of the body move with the same velocity and acceleration at any instant.

Rotational motion is the motion of a body about a fixed axis where all particles move in circular paths.

It is an imaginary straight line about which a rigid body rotates.

The centre of mass is the point representing the average position of the mass of a system.

Yes, in some cases like a ring or a bent object, the centre of mass lies outside the material body.

Only external forces acting on the system govern the motion of the centre of mass.

The centre of mass remains at rest or moves with constant velocity.

It is the vector sum of the momenta of all particles in the system.

If the net external force on a system is zero, its total linear momentum remains constant.

It is the angle through which a body rotates about a fixed axis.

Angular velocity is the rate of change of angular displacement with time.

It is the rate of change of angular velocity with time.
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