Free NEET Mock Tests for System Of Particles And Rotational Motion
Spin up your NEET Exam Physics prep with free chapter-wise NEET mock tests for System of Particles and Rotational Motion at Onlineneetcoaching.in! Master torque, angular momentum, and moment of inertia with India’s largest collection of free NEET mock tests—1500+ tests, unmatched online. NCERT-aligned, no signups—start now!
NEET Exam System of Particles and Rotational Motion Syllabus: Spin to Success
System of Particles and Rotational Motion is a pivotal Physics chapter in NEET Exam, contributing 1-2 questions (4-8 marks) to the 180-question exam. This NCERT Class 11 chapter bridges linear and rotational dynamics, emphasizing torque and angular momentum. The Exam syllabus excludes Momentum Conservation, Center of Mass Motion, and Center of Mass of Uniform Rod, but includes the newly added Basic Concept of Rotational Motion. Onlineneetcoaching.in’s free chapter-wise NEET mock tests, drawn from our 25,000+ question bank, align perfectly with NEET Exam. Below is the updated syllabus to guide your preparation.
- Center of Mass of a Two-Particle System: Calculate \( \vec{r}_{cm} = \frac{m_1 \vec{r}_1 + m_2 \vec{r}_2}{m_1 + m_2} \).
- Center of Mass of a Rigid Body: Understand \( \vec{r}_{cm} = \frac{\sum m_i \vec{r}_i}{\sum m_i} \).
- Basic Concepts of Rotational Motion: Study angular velocity (\( \omega \)), angular acceleration (\( \alpha \)), newly added to the syllabus.
- Moment of a Force (Torque): Use \( \tau = r \times F \), with magnitude \( \tau = r F \sin \theta \).
- Angular Momentum: Apply \( \vec{L} = \vec{r} \times \vec{p} \), or \( L = I \omega \).
- Conservation of Angular Momentum: Use \( L = \text{constant} \) for isolated systems, with applications like spinning tops.
- Moment of Inertia: Calculate \( I = \sum m_i r_i^2 \), for objects like disks and rods.
- Radius of Gyration: Understand \( k = \sqrt{\frac{I}{M}} \).
- Moments of Inertia for Simple Geometrical Objects: Memorize \( I \) for a disk (\( \frac{1}{2} M R^2 \)), sphere (\( \frac{2}{5} M R^2 \)).
- Parallel and Perpendicular Axes Theorems: Apply \( I = I_{cm} + M d^2 \) (parallel) and \( I_z = I_x + I_y \) (perpendicular).
- Equilibrium of Rigid Bodies: Ensure \( \sum \vec{F} = 0 \), \( \sum \vec{\tau} = 0 \).
- Rigid Body Rotation: Use equations like \( \tau = I \alpha \), \( \omega = \omega_0 + \alpha t \).
- Comparison of Linear and Rotational Motions: Relate \( v = r \omega \), \( a = r \alpha \).
Note: The NEET Exam syllabus excludes Momentum Conservation, Center of Mass Motion, and Center of Mass of Uniform Rod, but includes the newly added Basic Concept of Rotational Motion. Our chapter-wise NEET mock tests focus on the updated syllabus for exam success!
Top Study Tips for System of Particles and Rotational Motion in NEET Exam
System of Particles and Rotational Motion offers 1-2 questions (4-8 marks) in NEET Exam, covering torque, angular momentum, and moment of inertia. Onlineneetcoaching.in’s free chapter-wise NEET mock tests, sourced from our 25,000+ question bank, tackle NEET-level challenges like parallel axes theorem applications. These 8 tips will help you master this chapter and boost your score.
- Calculate Center of Mass: For two particles (\( m_1 = 2 \, \text{kg} \), \( \vec{r}_1 = (1, 0) \), \( m_2 = 3 \, \text{kg} \), \( \vec{r}_2 = (0, 2) \)), \( \vec{r}_{cm} = \frac{2 \cdot (1, 0) + 3 \cdot (0, 2)}{2 + 3} = (0.4, 1.2) \). Our mock tests drill these calculations.
- Apply Torque: Use \( \tau = r F \sin \theta \). For \( F = 10 \, \text{N} \), \( r = 0.5 \, \text{m} \), \( \theta = 30^\circ \), \( \tau = 0.5 \cdot 10 \cdot \sin 30^\circ = 2.5 \, \text{N·m} \). Practice with our MCQs.
- Use Conservation of Angular Momentum: For a skater (\( I_1 = 5 \, \text{kg·m}^2 \), \( \omega_1 = 2 \, \text{rad/s} \), \( I_2 = 2.5 \, \text{kg·m}^2 \)), \( \omega_2 = \frac{5 \cdot 2}{2.5} = 4 \, \text{rad/s} \). Our tests cover applications.
- Compute Moment of Inertia: For a disk (\( M = 2 \, \text{kg} \), \( R = 0.1 \, \text{m} \)), \( I = \frac{1}{2} \cdot 2 \cdot (0.1)^2 = 0.01 \, \text{kg·m}^2 \). Our mock tests include these numericals.
- Apply Parallel Axes Theorem: For a rod (\( I_{cm} = \frac{1}{12} M L^2 \), \( d = \frac{L}{2} \)), \( I = \frac{1}{12} M L^2 + M \left( \frac{L}{2} \right)^2 = \frac{1}{3} M L^2 \). Our tests reinforce this.
- Understand Rotational Equations: For \( \tau = 10 \, \text{N·m} \), \( I = 2 \, \text{kg·m}^2 \), \( \alpha = \frac{\tau}{I} = 5 \, \text{rad/s}^2 \). NEET may ask \( \omega \) after 2 s. Our tests build intuition.
- Visualize Linear vs. Rotational Motion: Relate \( v = r \omega \). For a wheel (\( r = 0.2 \, \text{m} \), \( \omega = 10 \, \text{rad/s} \)), \( v = 0.2 \cdot 10 = 2 \, \text{m/s} \). Our mock tests clarify comparisons.
- Time Your Practice: NEET allows ~1 minute per question. Solve “Find torque” (\( F = 5 \, \text{N} \), \( r = 0.3 \, \text{m} \), \( \theta = 90^\circ \), \( \tau = 1.5 \, \text{N·m} \)) in under 60 seconds. Our mock tests build speed.
These tips, paired with Onlineneetcoaching.in’s free chapter-wise NEET mock tests, make System of Particles and Rotational Motion a scoring opportunity. Practice consistently to excel in Physics!
Common Mistakes to Avoid in System of Particles and Rotational Motion for NEET Exam
Avoiding common pitfalls in System of Particles and Rotational Motion can save crucial marks in NEET Exam. Onlineneetcoaching.in’s free chapter-wise NEET mock tests help you identify and correct these errors. Here are 5 frequent mistakes and how to avoid them.
- Miscalculating Center of Mass: Ignoring vector components in \( \vec{r}_{cm} = \frac{\sum m_i \vec{r}_i}{\sum m_i} \). For \( m_1 = 1 \, \text{kg} \), \( \vec{r}_1 = (2, 3) \), include both coordinates. Practice in our mock tests.
- Incorrect Torque Angle: Using wrong \( \theta \) in \( \tau = r F \sin \theta \). If \( \theta = 0^\circ \), \( \tau = 0 \). Example: \( F = 10 \, \text{N} \), \( r = 0.2 \, \text{m} \), \( \theta = 90^\circ \). Our tests highlight this.
- Moment of Inertia Errors: Forgetting factors in \( I \). For a sphere, \( I = \frac{2}{5} M R^2 \), not \( M R^2 \). Example: \( M = 1 \, \text{kg} \), \( R = 0.1 \, \text{m} \). Our mock tests reinforce formulas.
- Misapplying Axes Theorems: Confusing parallel (\( I = I_{cm} + M d^2 \)) and perpendicular (\( I_z = I_x + I_y \)) theorems. Our MCQs clarify applications.
- Unit Errors: Using inconsistent units in \( L = I \omega \). Ensure \( I \) (kg·m²), \( \omega \) (rad/s), \( L \) (kg·m²/s). Example: \( I = 2 \, \text{kg·m}^2 \), \( \omega = 3 \, \text{rad/s} \). Check units in our tests.
Correcting these mistakes with Onlineneetcoaching.in’s free chapter-wise NEET mock tests ensures precision in System of Particles and Rotational Motion, maximizing your NEET Exam Physics score!
System of Particles and Rotational Motion Mock Test FAQs
What’s in the NEET Exam System of Particles and Rotational Motion syllabus?▶
Onlineneetcoaching.in’s free chapter-wise NEET mock tests cover center of mass, torque, angular momentum, moment of inertia, and basic rotational motion, per NCERT Class 11.
How many questions come from System of Particles and Rotational Motion in NEET?▶
NEET Exam includes 1-2 questions (4-8 marks), testing torque and moment of inertia. Our mock tests ensure you ace them!
What topics were dropped or added for NEET Exam?▶
Momentum Conservation, Center of Mass Motion, and Center of Mass of Uniform Rod were dropped. Basic Concept of Rotational Motion was added. Our mock tests align with the updated syllabus.
What is torque in NEET?▶
Torque is \( \tau = r \times F \), causing rotation. Practice with our mock tests!
What is angular momentum?▶
Angular momentum is \( \vec{L} = \vec{r} \times \vec{p} \), or \( L = I \omega \). Our mock tests cover conservation applications!
What’s moment of inertia?▶
Moment of inertia is \( I = \sum m_i r_i^2 \). NEET tests values for disks, spheres. Practice with our mock tests!
What’s the parallel axes theorem?▶
Parallel axes theorem is \( I = I_{cm} + M d^2 \). Our mock tests clarify applications!
What’s basic rotational motion?▶
Basic rotational motion, newly added, covers angular velocity (\( \omega \)) and acceleration (\( \alpha \)). Our mock tests prepare you!
What’s equilibrium of rigid bodies?▶
Equilibrium requires \( \sum \vec{F} = 0 \), \( \sum \vec{\tau} = 0 \). NEET may ask, “Is the body balanced?” Our mock tests cover it!
Why choose Onlineneetcoaching.in’s System of Particles and Rotational Motion mock tests?▶
Our free chapter-wise NEET mock tests for System of Particles and Rotational Motion, from India’s largest collection of free NEET mock tests—1500+ tests, unmatched online—match NEET’s difficulty, align with NCERT, and offer instant feedback. Practice anytime, no signup!