Statement 1 For a system of isolated mutually interacting...

Statement 1
For a system of isolated mutually interacting particles, both linear momentum and angular momentum remain constant.
and
Statement 2
Resultant force on any particle will be zero, hence resultant torque on it also is zero.

Key Concepts

Relationship Between Force and Torque

While net force determines the change in linear momentum, net torque determines the change in angular momentum. It is important to note that even if the net force on individual particles might be zero, this does not automatically imply that the net torque is zero, because torque depends on both the force and its point of application relative to a pivot point.

Isolated Systems

An isolated system is one where no external forces or torques act on the entities within the system. This assumption simplifies the analysis of momentum and angular momentum conservation, as all changes are governed purely by internal interactions, which under Newton's third law tend to balance out.

Conservation of Linear Momentum

This concept refers to the principle that the total linear momentum of an isolated system remains constant if no external forces act on the system. In systems where only internal interactions are present, despite forces acting between the particles, their mutual cancellations ensure that the overall linear momentum is conserved.

Conservation of Angular Momentum

Angular momentum conservation is the principle that in the absence of external torques, the total angular momentum of a system remains constant. This concept applies even in systems where particles exert forces on each other because the net effect of internal forces often cancels out rotational influences, preserving the overall angular momentum.

Newton's Third Law of Motion

Newton's Third Law states that for every action there is an equal and opposite reaction. This law is essential in analyzing systems of interacting particles since the internal forces between particles come in pairs that are equal in magnitude and opposite in direction, contributing to the conservation of momentum in the absence of external influences.

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