Centre of Mass
ICSE · Class 11 · Physics
Complete topic list for Centre of Mass in ICSE Class 11 Physics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Centre of Mass
1. Idea of Centre of Mass
- The centre of mass is the point whose motion characterises the motion of the whole system.
- A system under external force moves as if its entire mass were concentrated at the centre of mass.
- The same external force can be imagined to act at the centre of mass.
2. Centre of Mass of Two Particles
- For two particles, the centre of mass lies on the line joining them.
- It lies between the two particles.
- If the masses are equal, the centre of mass is the average of their position vectors.
3. Centre of Mass of n Particles and Continuous Bodies
- For n particles, the centre of mass is the mass-weighted average of all position vectors.
- The component form can be used in x, y, and z directions separately.
- For a continuous body, sums are replaced by integrals over mass elements.
4. Centre of Mass of a Uniform Rod
- For a uniform rod, mass per unit length is constant.
- The centre of mass of a uniform rod lies at its midpoint.
- If one end of the rod is at the origin and the rod lies along the x-axis, the centre of mass is at x = l / 2.
Key Concepts
Central concept: Centre of Mass as the point whose motion represents the motion of an entire system
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