NCERT  //  Physics  //  Ch.6

System of Particles and Rotational Motion
MCQ_MASTER_SERIES

Centre of Mass · Torque & Moment of Inertia · Angular Momentum

[ 50 QST ]
[ 45 min ]
[ 3 TIERS ]
[ 6 TOPICS ]
⚡ INIT_QUIZ // ANALYTICS
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Question Intelligence

Quiz Analytics

A data-driven breakdown of all 50 questions by difficulty, exam origin and topic distribution.

📈 Distribution Overview

50
Total Questions
Concept Check (NCERT)
24
Boards / JEE Main
18
JEE/NEET Edge Cases
8

🗂 Topic Coverage

System of Particles & COM
20%
Linear Momentum & Impulse
16%
Torque & Angular Momentum
20%
Moment of Inertia & Theorems
20%
Pure Rotation & Rolling Motion
16%
Conservation Laws & Examples
8%
24
Concept Check (NCERT)
18
Boards / JEE Main
8
JEE/NEET Edge Cases
Conceptual Framework

Key Concept Highlights

6 foundational pillars that power every question in this quiz. Understand these, and the answers follow naturally.

🎯
System of Particles & Centre of Mass
A system of particles behaves as if its entire mass were concentrated at a single point called the centre of mass, whose motion is governed only by external forces.
⚖️
Linear Momentum & COM Motion
The total linear momentum of a system equals the product of total mass and velocity of the centre of mass; with no external force, COM moves with uniform velocity.
🌀
Torque & Rotational Dynamics
Torque measures the turning effect of a force about an axis and is given by the cross product of position vector and force, producing angular acceleration.
📀
Moment of Inertia
Moment of inertia quantifies rotational inertia and depends on how mass is distributed about the axis; larger values mean greater resistance to change in rotational motion.
↻
Angular Momentum & Its Conservation
Angular momentum is the rotational analogue of linear momentum and remains conserved when the net external torque on the system is zero.
🚴
Pure Rotation & Rolling Motion
In pure rotation all particles move in circles about a fixed axis, while rolling without slipping combines translation of the centre of mass with rotation about an instantaneous axis at the contact point.
Pedagogical Value

Why MCQs Matter

Multiple-choice questions are not mere guessing games — they are the sharpest diagnostic tool available to a competitive exam aspirant.

~12–15%

of Class XI Mechanics weightage across Boards & JEE/NEET (via COM, torque, rolling motion & rotational dynamics)

Quick Reference

Important Formula Capsules

10 must-memorise equations that surface repeatedly across CBSE and JEE papers.

Centre of Mass (discrete)
\[ \vec{R}_{\text{CM}} = \dfrac{\sum_i m_i \vec{r}_i}{\sum_i m_i} \]
Linear Momentum (system)
\[ \vec{P} = M \vec{V}_{\text{CM}} \]
Torque (vector)
\[ \vec{\tau} = \vec{r} \times \vec{F} \]
Rotational Dynamics
\[ \tau = I\alpha \]
Moment of Inertia
\[ I = \sum_i m_i r_i^2 \]
Angular Momentum (particle)
\[ \vec{L} = \vec{r} \times \vec{p} \]
Angular Momentum (rigid)
\[ L = I\omega \]
Rotational KE
\[ K = \dfrac{1}{2} I \omega^2 \]
v–ω Relation (rolling)
\[ v = \omega R \]
Angular Acceleration
\[ \alpha = \dfrac{d\omega}{dt} \]
Learning Outcomes

What You Will Learn

By completing this quiz set you will have exercised all the following competencies.

01 Define and locate the centre of mass for simple systems like two-particle systems, rods and rings.
02 Relate motion of the centre of mass to total external force and total linear momentum of a system.
03 Explain and calculate torque, moment of inertia and angular momentum for standard rigid bodies about given axes.
04 Use τ = Iα and L = Iω to solve numerical problems on rotational dynamics and conservation of angular momentum.
05 Distinguish between pure translation, pure rotation and rolling motion, including the condition of rolling without slipping.
06 Apply theorems of parallel and perpendicular axes to compute moment of inertia of composite bodies.
07 Analyse everyday situations such as opening doors, spinning skaters and rolling wheels using rotational dynamics and COM concepts.
Exam Preparation

Strategy & Preparation Tips

5 evidence-based strategies to maximise your score in CBSE Boards and JEE.

Step 01
Nail COM & Momentum Basics
Start with centre of mass definitions and simple two-particle examples, then connect total linear momentum with motion of COM for easy conceptual and 1-mark questions.
Step 02
Torque & Axis Sense
Practise right-hand rule, sign convention and r×F geometry so that direction of torque and angular momentum in MCQs never confuses you.
Step 03
Moment of Inertia Library
Memorise standard I formulae (rod, ring, disc, sphere) and parallel/perpendicular axis theorems; most board and JEE Main numericals are direct applications.
Step 04
Conservation of L Problems
Solve classic examples like spinning skater, collapsing neutron star and rotating stools to master how I and ω adjust when external torque is zero.
Step 05
Rolling & v = ωR Intuition
Focus on rolling without slipping, instantaneous rest at the contact point, and v = ωR relation to crack typical mixed translation–rotation questions.

Ready to Test Your Mastery?

50 questions  ·  Elapsed timer  ·  Instant scored results

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SYSTEMS OF PARTICLES AND ROTATIONAL MOTION — Learning Resources

📄 Detailed Notes
✔️ True / False
📌 Exercise
💬 Q&A Discussion
🎯 Advance MCQs
📝 Exercises
SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-Exercise

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