System of Particles and Rotational Motion — Chapter Summary
CBSE · Class 11 · Physics
Summary of System of Particles and Rotational Motion for CBSE Class 11 Physics. Part of the CBSE Class 11 Physics syllabus.
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Overview
The chapter develops the physics of extended bodies by treating them as systems of particles. It explains how the centre of mass describes translational motion, how torque produces rotation, how angular momentum is conserved, and how moment of inertia controls resistance to rotational change. It als
Key Concepts
An ideally rigid body has
An ideally rigid body has a perfectly definite and unchanging shape, so the distances between all pairs of particles do not change. Real bodies are no
The centre of mass is
The centre of mass is the mass-weighted mean position of a system of particles. For n particles, its position vector is R = (Σ mi ri)/M. If the origin
The centre of mass moves as
The centre of mass moves as if all the mass were concentrated there and all external forces acted at that point. The equation is MA = F_ext. Internal
The total momentum of a system
The total momentum of a system is P = MV, where V is the velocity of the centre of mass. Also, dP/dt = F_ext. If external force is zero, total linear
The vector product of a
The vector product of a and b has magnitude ab sinθ and is perpendicular to the plane containing the vectors. It is not commutative: a × b = - b × a.
Learning Objectives
- Understand rigid body motion as pure translation, pure rotation, or a combination of both
- Locate and interpret the centre of mass for systems of particles and homogeneous bodies
- Use the motion of centre of mass to describe the motion of an extended system
- Apply linear momentum conservation when external force is zero
- Use vector product to define torque and angular momentum
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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