Why are the internal forces acting on the cen | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) According to Newton's third law of motion,internal forces always exist in action-reaction pairs,meaning for every force exerted by one part of the

Vedclass · Accepted Answer

All of the above.

Vedclass · Answer

(D) According to Newton's third law of motion,internal forces always exist in action-reaction pairs,meaning for every force exerted by one part of the system on another,there is an equal and opposite force exerted back.Mathematically,if $\vec{F}_{ij}$ is the force exerted by particle $j$ on particle $i$,then $\vec{F}_{ij} = -\vec{F}_{ji}$.The total internal force $\vec{F}_{int}$ is the vector sum of all such pairs: $\vec{F}_{int} = \sum \vec{F}_{ij} = 0$.Since the acceleration of the centre of mass is given by $\vec{a}_{cm} = \frac{\vec{F}_{ext} + \vec{F}_{int}}{M}$,and $\vec{F}_{int} = 0$,the internal forces have no effect on the motion of the centre of mass. Therefore,they are neglected.

Why are the internal forces acting on the centre of mass of a system neglected?

Similar Questions

$A$ monkey of mass $m$ is at rest on a light rope attached to a balloon of mass $M$ in mid-air. If the monkey climbs up the rope and reaches the top of the rope,what is the distance covered by the balloon? (The total length of the rope is $L$)

Why do internal forces acting within a system not affect its motion?

Internal forces can change

When a bomb explodes during projectile motion,which forces do not contribute to the motion of the centre of mass?

Vedclass Test Series

Exam Paper Generator

Online Exam Module