Lesson 6 – Centre of Mass & System of Particles
PHASE–2 : IIT–JEE Advanced Core Practice
Part 3 – Elite Elimination & Mixed Concepts
Part–3 trains students to eliminate options logically, combine COM + Newton’s laws, and handle frame-of-reference traps.
Q1. (Multi-Correct | COM + External Forces)
A system of particles is subjected to a constant external force. Which statements are always correct?
A) Centre of mass accelerates in the direction of the force
B) Acceleration of COM is independent of internal forces
C) All particles must accelerate equally
D) Linear momentum of the system changes
Correct Options: A, B, D
Explanation:
• acm = F/M → direction fixed by F
• Internal forces cancel in COM equation
• Individual particle accelerations may differ
Q2. (Integer Type | Mixed Velocities)
Four particles of equal mass move along a line with velocities 2 m/s, −2 m/s, 4 m/s and −4 m/s. Find the velocity of the centre of mass (m/s).
vcm = (2 − 2 + 4 − 4) / 4 = 0
Answer: 0
Trap: Large speeds do not imply moving COM.
Q3. (Multi-Correct
📘 Centre of Mass & System of Particles – Complete Physics Library
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