NEET 2025 Reward Announcement !   *   Join the SATHEE channel for the latest updates- Click Here to Join the Channel.

How to prepare for Mechanics for CUET-UG ?

solution.livedoubt

New member
Staff member
Expected Weightage

The Common University Entrance Test (CUET) for Mechanics (typically under the Physics domain) has shown certain trends in its marking pattern and chapter-wise weightage over the last three years (2021-2023). Below is a detailed analysis based on past papers and expert reviews:



1. Overall Marking Pattern (CUET Mechanics)

  • Total Questions: ~15-20 (varies yearly)
  • Marks Distribution:
  • Correct Answer: +5
  • Incorrect Answer: -1 (Negative Marking)
  • Unattempted: 0


2. Chapter-wise Weightage (Last 3 Years)

The most important chapters in Mechanics based on frequency and marks distribution are:


High-Weightage Chapters (30-40% of Mechanics Questions)

  1. Newton’s Laws of Motion Friction
  2. Frequently tested (3-4 questions/year)

  3. Applications in inclined planes, pulley systems


  4. Work, Energy Power

  5. Concepts like kinetic/potential energy, work-energy theorem

  6. 2-3 questions per year


  7. Rotational Motion

  8. Moment of inertia, torque, angular momentum
  9. 2-3 questions/year

Medium-Weightage Chapters (20-30%)

  1. Gravitation
  2. Kepler’s laws, orbital velocity, escape velocity

  3. 1-2 questions/year


  4. Oscillations Waves

  5. Simple Harmonic Motion (SHM), wave equations

  6. 1-2 questions/year


  7. Fluid Mechanics

  8. Bernoulli’s principle, viscosity, surface tension
  9. 1 question/year

Low-Weightage Chapters (<10%)

  1. Elasticity Surface Tension

  2. Rarely asked (0-1 question/year)


  3. Projectile Motion

  4. Occasionally tested (1 question in some years)


3. Year-wise Trends

  • 2023: More emphasis on Rotational Motion Work-Energy
  • 2022: Higher weightage to Newton’s Laws Gravitation
  • 2021: Balanced distribution, with Fluid Mechanics slightly more than usual


4. Key Takeaways for Preparation

Focus Areas:
- Newton’s Laws, Work-Energy, Rotational Motion
- Practice numerical-based problems (60% of questions are application-based)

Avoid Overlooking:
- Gravitation SHM (often underprepared but scoring)

Time Management:
- Solve high-weightage chapters first in the exam.



Conclusion

CUET Mechanics has a consistent pattern favoring Newtonian Mechanics, Work-Energy, and Rotational Dynamics. Fluid Mechanics and Oscillations are secondary but should not be ignored. Numerical practice is crucial due to negative marking.

Would you like a topic-wise difficulty analysis or previous year’s question trends?
 
Must-Know NCERT Concepts

Here are 15–20 important NCERT concepts from Class 12 Mechanics (Physics) that frequently appear in CUET (Common University Entrance Test):


1. Laws of Motion

  • Newton’s Laws (Inertia, F = ma, Action-Reaction)
  • Conservation of Momentum
  • Equilibrium of Forces

2. Work, Energy, and Power

  • Work done by a constant/variable force
  • Kinetic and Potential Energy
  • Work-Energy Theorem
  • Power and Efficiency

3. Rotational Motion

  • Torque and Angular Momentum
  • Moment of Inertia (Parallel Perpendicular Axis Theorems)
  • Conservation of Angular Momentum

4. Gravitation

  • Kepler’s Laws of Planetary Motion
  • Universal Law of Gravitation
  • Gravitational Potential Energy
  • Escape Velocity

5. Oscillations

  • Simple Harmonic Motion (SHM)
  • Time Period of Spring Pendulum
  • Energy in SHM

6. Waves

  • Wave Motion (Transverse Longitudinal)
  • Speed of Sound in Different Media
  • Doppler Effect

7. Fluid Mechanics

  • Bernoulli’s Principle
  • Viscosity Stokes’ Law
  • Surface Tension Capillarity

8. Elasticity

  • Stress Strain
  • Hooke’s Law Young’s Modulus

9. Projectile Motion

  • Horizontal Oblique Projectile
  • Maximum Height Range
These concepts are highly relevant for CUET and often appear in multiple-choice questions. Make sure to revise derivations, formulas, and numerical applications from NCERT textbooks.

Would you like topic-wise PYQs (Previous Year Questions) for CUET based on these concepts?
 
Case-Based Questions

Here are 10 CUET-style case studies/application questions from Mechanics, along with answer pointers:



Case Study 1: Projectile Motion

A cricketer hits a ball at an angle of 30° with the horizontal at a speed of 20 m/s. Calculate:
1. Maximum height reached.
2. Time of flight.
3. Horizontal range.

Answer Pointers:
1. ( H = \frac{u^2 \sin^2 \theta}{2g} = \frac{(20)^2 \sin^2 30°}{2 \times 9.8} = 5.1 \, \text{m} )
2. ( T = \frac{2u \sin \theta}{g} = \frac{2 \times 20 \times \sin 30°}{9.8} = 2.04 \, \text{s} )
3. ( R = \frac{u^2 \sin 2\theta}{g} = \frac{(20)^2 \sin 60°}{9.8} = 35.3 \, \text{m} )



Case Study 2: Circular Motion

A car of mass 1000 kg moves on a circular track of radius 50 m with a speed of 10 m/s. Determine:
1. Centripetal force acting on the car.
2. Minimum coefficient of friction to prevent skidding.

Answer Pointers:
1. ( F_c = \frac{mv^2}{r} = \frac{1000 \times (10)^2}{50} = 2000 \, \text{N} )
2. ( \mu_{min} = \frac{v^2}{rg} = \frac{(10)^2}{50 \times 9.8} = 0.204 )



Case Study 3: Work-Energy Theorem

A block of mass 2 kg slides down a frictionless incline from a height of 5 m. Find:
1. Velocity at the bottom.
2. Work done by gravity.

Answer Pointers:
1. ( v = \sqrt{2gh} = \sqrt{2 \times 9.8 \times 5} = 9.9 \, \text{m/s} )
2. ( W = mgh = 2 \times 9.8 \times 5 = 98 \, \text{J} )



Case Study 4: Newton’s Laws (Tension in Strings)

Two masses (m₁ = 3 kg, m₂ = 5 kg) are connected by a string over a frictionless pulley. Find:
1. Acceleration of the system.
2. Tension in the string.

Answer Pointers:
1. ( a = \frac{(m_2 - m_1)g}{m_1 + m_2} = \frac{(5 - 3) \times 9.8}{8} = 2.45 \, \text{m/s²} )
2. ( T = m_1(g + a) = 3(9.8 + 2.45) = 36.75 \, \text{N} )



Case Study 5: Conservation of Momentum

A 0.5 kg ball moving at 4 m/s collides with a stationary 1 kg ball. If the collision is perfectly elastic, find their velocities after the collision.

Answer Pointers:
- Using momentum and kinetic energy conservation:
( v_1' = \frac{(m_1 - m_2)u_1}{m_1 + m_2} = \frac{(0.5 - 1) \times 4}{1.5} = -1.33 \, \text{m/s} )
( v_2' = \frac{2m_1 u_1}{m_1 + m_2} = \frac{2 \times 0.5 \times 4}{1.5} = 2.67 \, \text{m/s} )



Case Study 6: Simple Harmonic Motion (SHM)

A spring-mass system has a spring constant of 200 N/m and a mass of 2 kg. Calculate:
1. Time period of oscillation.
2. Maximum speed if amplitude is 0.1 m.

Answer Pointers:
1. ( T = 2\pi \sqrt{\frac{m}{k}} = 2\pi \sqrt{\frac{2}{200}} = 0.628 \, \text{s} )
2. ( v_{max} = A \omega = A \sqrt{\frac{k}{m}} = 0.1 \times \sqrt{\frac{200}{2}} = 1 \, \text{m/s} )



Case Study 7: Rotational Motion

A solid disc of mass 10 kg and radius 0.5 m rolls without slipping. If its translational speed is 2 m/s, find:
1. Total kinetic energy.
2. Angular momentum about its center.

Answer Pointers:
1. ( KE = \frac{1}{2}mv^2 + \frac{1}{2}I \omega^2 = \frac{1}{2} \times 10 \times 4 + \frac{1}{2} \times \frac{1}{2} \times 10 \times (0.5)^2 \times (4)^2 = 30 \, \text{J} )
2. ( L = I \omega = \frac{1}{2} \times 10 \times (0.5)^2 \times 4 = 5 \, \text{kg m²/s} )



Case Study 8: Friction on an Inclined Plane

A block of mass 5 kg is placed on a 30° inclined plane with μ = 0.2. Determine:
1. Acceleration down the plane.
2. Minimum angle for slipping.

Answer Pointers:
1. ( a = g(\sin \theta - \mu \cos \theta) = 9.8(\sin 30° - 0.2 \cos 30°) = 3.2 \, \text{m/s²} )
2. ( \theta_{min} = \tan^{-1} \mu = \tan^{-1}(0.2) = 11.3° )



Case Study 9: Impulse and Momentum

A 0.1 kg ball hits a wall at 10 m/s and rebounds at 8 m/s. If the contact time is 0.02 s, find the average force exerted by the wall.

Answer Pointer:
( F_{avg} = \frac{\Delta p}{\Delta t} = \frac{m(v_f - v_i)}{t} = \frac{0.1(8 - (-10))}{0.02} = 90 \, \text{N} )



Case Study 10: Elastic Collision in 2D

A 2 kg ball moving at 3 m/s collides with a stationary 1 kg ball. After collision, the first ball moves at 1 m/s at 30° to the original direction. Find the velocity of the second ball.

Answer Pointer:
- Resolve momentum in x y:
( v_{2x} = \frac{2 \times 3 - 2 \times 1 \cos 30°}{1} = 4.27 \, \text{m/s} )
( v_{2y} = \frac{0 - 2 \times 1 \sin 30°}{1} = -1 \, \text{m/s} )
( v_2 = \sqrt{v_{2x}^2 + v_{2y}^2} = 4.38 \, \text{m/s} )


These case studies cover kinematics, dynamics, energy, momentum, rotation, and collisions—key topics in Mechanics. Let me know if you need modifications! 🚀
 
45-Day CUET Strategy

Here’s a structured 6-week CUET (Mechanics) study plan that balances NCERT fundamentals, mock tests, and revision cycles. Adjust based on your pace and strengths.



Week 1-2: Foundation Building (NCERT + Concepts)

Goal: Cover NCERT Class 11 12 Mechanics thoroughly (Units: Motion, Laws of Motion, Work-Energy, Rotational Motion, Gravitation).


Daily Plan (3-4 hours/day):

  • Morning (1.5 hours):
  • Read 1-2 NCERT chapters + highlight key formulas/concepts.
  • Solve 10-15 NCERT examples/exercises per topic.

  • Focus areas:
    • Week 1: Kinematics, Newton’s Laws, Friction.
    • Week 2: Work-Energy Theorem, Circular Motion, Rotation.

  • Afternoon (1 hour):


  • Practice 5-10 numerical problems from reference books (e.g., HC Verma/DC Pandey) for application.


  • Evening (1 hour):

  • Revise formulas + make flashcards.
  • Solve 5 conceptual MCQs (use CUET-specific question banks).
Weekend (Sat/Sun):
- Take a 30-question topic-wise quiz (e.g., Motion + Laws of Motion).
- Analyze mistakes and revisit weak areas.



Week 3-4: Advanced Practice + Mock Tests

Goal: Strengthen problem-solving and speed via mocks.


Daily Plan (4-5 hours/day):

  • Morning (2 hours):
  • Cover remaining topics (Gravitation, SHM, Elasticity).

  • Solve 15-20 advanced problems (focus on CUET-level difficulty).


  • Afternoon (1.5 hours):

  • Take a 25-question sectional test (e.g., Rotational Motion).

  • Review solutions + note recurring errors.


  • Evening (1 hour):

  • Revise 1-2 old topics + formula sheets.
Weekend (Sat/Sun):
- Full-length mock test (90 minutes, Mechanics-only).
- Spend 2 hours analyzing the mock (accuracy, time management).



Week 5-6: Revision + Grand Mocks

Goal: Maximize retention and exam readiness.


Daily Plan (5-6 hours/day):

  • Morning (2 hours):
  • Rapid revision of all topics (use mind maps/summary notes).

  • Solve 10-15 high-yield MCQs (e.g., past CUET/JEE Main questions).


  • Afternoon (2 hours):


  • Alternate between:
    • Full-length mock (Mon/Wed/Fri).
    • Topic-wise speed tests (Tue/Thu/Sat).

  • Evening (1-2 hours):

  • Review mock answers + revise weak areas.
  • Practice 5-10 assertion-reason questions daily.
Last 3 Days:
- Light revision only.
- Focus on formulas, common traps, and time-bound practice.



Key Tips:

  1. NCERT First: Ensure 100% clarity on NCERT concepts before jumping to advanced books.
  2. Mock Tests: Gradually increase frequency (1/week → 3/week).
  3. Error Log: Maintain a notebook for mistakes and revise it weekly.
  4. Time Management: Allocate 45-60 seconds per MCQ in mocks.
Resources:
- NCERT Physics (Class 11 12).
- HC Verma (Vol. 1) / DC Pandey (Objective).
- CUET-specific mock test series (e.g., Oswaal/Arihant).

Stick to this plan, and you’ll see steady progress! Adjust timings based on your schedule. Good luck! �💡


PYQ Analysis (2021-2023)

Below is an analysis of 15 CUET (Common University Entrance Test) previous year questions (PYQs) from Mechanics, categorized as conceptual or application-based, along with solutions.



1. Conceptual: Newton’s First Law

Q: An object continues to remain in its state of rest or uniform motion unless acted upon by an external force. This statement is:
(a) Newton’s First Law
(b) Newton’s Second Law
(c) Newton’s Third Law
(d) Law of Gravitation

Solution: (a) Newton’s First Law (Inertia).



2. Application-Based: Projectile Motion

Q: A ball is projected at 30° with a velocity of 20 m/s. What is its maximum height? (g = 10 m/s²)
(a) 5 m
(b) 10 m
(c) 15 m
(d) 20 m

Solution:
Max height ( H = \frac{u^2 \sin^2 \theta}{2g} = \frac{(20)^2 \sin^2 30°}{20} = \frac{400 \times (0.5)^2}{20} = 5 \, \text{m} )
Ans: (a) 5 m



3. Conceptual: Work-Energy Theorem

Q: The work done by a conservative force depends on:
(a) Path taken
(b) Initial and final positions
(c) Time taken
(d) Velocity

Solution: (b) Only initial and final positions (conservative forces are path-independent).



4. Application-Based: Circular Motion

Q: A car moves on a circular track of radius 50 m with a speed of 10 m/s. Its centripetal acceleration is:
(a) 1 m/s²
(b) 2 m/s²
(c) 5 m/s²
(d) 10 m/s²

Solution:
( a_c = \frac{v^2}{r} = \frac{100}{50} = 2 \, \text{m/s}^2 )
Ans: (b) 2 m/s²



5. Conceptual: Impulse

Q: Impulse is equal to the change in:
(a) Force
(b) Momentum
(c) Energy
(d) Velocity

Solution: (b) Momentum (( \vec{J} = \Delta \vec{p} )).



6. Application-Based: Friction

Q: A block of mass 5 kg is pulled with a force of 20 N on a rough surface (μ = 0.2). What is its acceleration? (g = 10 m/s²)
(a) 1 m/s²
(b) 2 m/s²
(c) 3 m/s²
(d) 4 m/s²

Solution:
Frictional force ( f = \mu N = 0.2 \times 50 = 10 \, \text{N} )
Net force ( F_{\text{net}} = 20 - 10 = 10 \, \text{N} )
Acceleration ( a = \frac{F_{\text{net}}}{m} = \frac{10}{5} = 2 \, \text{m/s}^2 )
Ans: (b) 2 m/s²



7. Conceptual: Angular Momentum

Q: Angular momentum is conserved when:
(a) Net torque is zero
(b) Net force is zero
(c) Linear momentum is conserved
(d) Energy is conserved

Solution: (a) Net torque is zero.



8. Application-Based: Simple Harmonic Motion (SHM)

Q: A particle in SHM has amplitude 0.2 m and time period 2 s. Its maximum velocity is:
(a) ( 0.1\pi \, \text{m/s} )
(b) ( 0.2\pi \, \text{m/s} )
(c) ( 0.4\pi \, \text{m/s} )
(d) ( 0.8\pi \, \text{m/s} )

Solution:
( v_{\text{max}} = A \omega = 0.2 \times \left( \frac{2\pi}{T} \right) = 0.2 \times \pi = 0.2\pi \, \text{m/s} )
Ans: (b) ( 0.2\pi \, \text{m/s} )



9. Conceptual: Relative Motion

Q: If two bodies are moving in the same direction with velocities ( v_1 ) and ( v_2 ), their relative velocity is:
(a) ( v_1 + v_2 )
(b) ( v_1 - v_2 )
(c) ( v_2 - v_1 )
(d) Zero

Solution: (b) ( v_1 - v_2 ) (same direction).



10. Application-Based: Rotational Dynamics

Q: A disc of mass 2 kg and radius 1 m has a moment of inertia about its axis:
(a) 1 kg·m²
(b) 2 kg·m²
(c) 0.5 kg·m²
(d) 4 kg·m²

Solution:
( I = \frac{1}{2}MR^2 = \frac{1}{2} \times 2 \times (1)^2 = 1 \, \text{kg·m}^2 )
Ans: (a) 1 kg·m²



11. Conceptual: Gravitation

Q: The gravitational force between two masses is:
(a) Always attractive
(b) Always repulsive
(c) Sometimes repulsive
(d) Zero in free space

Solution: (a) Always attractive.



12. Application-Based: Power

Q: A motor lifts 10 kg water to 5 m height in 2 s. Its power is: (g = 10 m/s²)
(a) 100 W
(b) 200 W
(c) 250 W
(d) 500 W

Solution:
Work ( W = mgh = 10 \times 10 \times 5 = 500 \, \text{J} )
Power ( P = \frac{W}{t} = \frac{500}{2} = 250 \, \text{W} )
Ans: (c) 250 W



13. Conceptual: Elastic Collision

Q: In an elastic collision, which quantity is conserved?
(a) Only momentum
(b) Only kinetic energy
(c) Both momentum and kinetic energy
(d) Neither

Solution: (c) Both momentum and kinetic energy.



14. Application-Based: Kinematics

Q: A car accelerates from rest at 2 m/s² for 5 s. Its final velocity is:
(a) 5 m/s
(b) 10 m/s
(c) 15 m/s
(d) 20 m/s

Solution:
( v = u + at = 0 + 2 \times 5 = 10 \, \text{m/s} )
Ans: (b) 10 m/s



15. Conceptual: Center of Mass

Q: The center of mass of a rigid body:
(a) Lies inside the body
(b) Lies outside the body
(c) May lie inside or outside
(d) Is always at the geometric center

Solution: (c) May lie inside or outside (e.g., a ring’s COM is at its center).



Summary of Categorization:

  • Conceptual: 1, 3, 5, 7, 9, 11, 13, 15
  • Application-Based: 2, 4, 6, 8, 10, 12, 14
This analysis helps in understanding the pattern of CUET Mechanics questions, emphasizing both theory and numerical problem-solving.

Would you like additional PYQs or topic-wise segregation?
 
Back
Top