Unit 1933: Mechanics

1. Introduction to Mechanics

• Definition and scope of mechanics
• Historical context and significance in physics
• Fundamental principles and key concepts

2. Kinematics

2.1 Motion Description

• Position and displacement
• Distance vs. displacement

2.2 Velocity

• Average velocity
• Instantaneous velocity
• Speed vs. velocity

2.3 Acceleration

• Average and instantaneous acceleration
• Positive and negative acceleration

2.4 Types of Motion

• Uniform motion
• Uniformly accelerated motion
• Projectile motion
• Circular motion

3. Dynamics

3.1 Causes of Motion

• Forces and their effects
• Types of forces (contact and non-contact)

3.2 Relationship Between Force and Motion

• How forces change velocity and direction

4. Newton's Laws of Motion

4.1 First Law (Law of Inertia)

• Concept of inertia
• Examples and applications

4.2 Second Law (F=ma)

• Force, mass, and acceleration relationship
• Vector nature of forces
• Calculations involving net force

4.3 Third Law (Action and Reaction)

• Interaction pairs
• Practical implications

4.4 Momentum

• Definition and relation to Newton's laws
• Impulse and change in momentum

5. Equilibrium and Free-Body Diagrams

5.1 Conditions for Equilibrium

• Static and dynamic equilibrium
• Sum of forces and moments

5.2 Free-Body Diagrams

• Drawing and interpreting
• Identifying forces acting on objects
• Solving problems using FBDs

6. Work and Energy

6.1 Work

• Definition and calculation
• Positive, negative, and zero work

6.2 Energy Forms

• Kinetic energy
• Potential energy

6.3 Conservation of Energy

• Work-energy theorem
• Energy transformations

7. Linear Momentum and Collisions

7.1 Linear Momentum

• Definition and properties

7.2 Impulse

• Relation to force and time

7.3 Conservation of Momentum

• Closed system concepts
• Applications

7.4 Types of Collisions

• Elastic collisions
• Inelastic collisions
• Mathematical analysis

8. Rotational Motion

8.1 Angular Quantities

• Angular displacement, velocity, acceleration

8.2 Torque

• Definition and calculation
• Lever arm concept

8.3 Moment of Inertia

• Concept and factors affecting it
• Calculations for common shapes

8.4 Relation Between Rotational and Linear Motion

• Equations linking linear and angular variables

9. Gravitation

9.1 Universal Law of Gravitation

• Statement and mathematical form
• Gravitational constant

9.2 Gravitational Force

• Calculation between two masses

9.3 Gravitational Field

• Definition and field strength

9.4 Orbits and Celestial Motion

• Orbital velocity
• Kepler’s laws overview
• Satellite motion

10. Oscillations and Waves

10.1 Simple Harmonic Motion (SHM)

• Characteristics and equations
• Examples (pendulum, spring)

10.2 Oscillatory Motion

• Period, frequency, amplitude

10.3 Wave Characteristics

• Types of waves (mechanical, electromagnetic)
• Transverse and longitudinal waves

10.4 Wave Properties

• Reflection, refraction, diffraction, interference
• Wave speed, wavelength, frequency

10.5 Wave Phenomena in Different Media

• Sound waves
• Light waves
• Applications