### Planar Motion In A Plane Topic

## Planar Motion - Motion In A Plane

**1. Basic Concepts:**

**(A) Types of planar motion**

- Rectilinear motion: Motion in a straight line
- Rotational motion: Motion about a fixed axis

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(B) Position, displacement, velocity, and acceleration in two dimensions**

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**2. Kinematics of Rectilinear Motion:**

**(A) Equations of motion for constant acceleration**

- Equations for position, velocity, and acceleration

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(B) Relative motion**

- Concept and equations for relative velocity and relative acceleration

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(C) Projectile motion**

- Trajectory, components of velocity and acceleration, equations for horizontal and vertical motion, maximum height, time of flight, and range

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**3. Kinematics of Rotational Motion:**

**(A) Angular displacement, velocity, and acceleration**

- Definitions and relationships between angular and linear quantities

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(B) Equations of rotational motion for constant angular acceleration**

- Equations for angular position, angular velocity, and angular acceleration

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(C) Relationship between linear and angular quantities**

- Tangential velocity, radial acceleration, centripetal acceleration, angular velocity, and angular acceleration

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**4. Dynamics of Rectilinear Motion:**

**(A) Newton’s laws of motion applied to rectilinear motion**

- Applications of Newton’s first, second, and third laws to rectilinear motion

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(B) Work, energy, and power in rectilinear motion**

- Concepts and calculations of work, kinetic energy, potential energy, conservation of energy, and power

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(C) Impulse and momentum**

- Concepts and calculations of impulse, momentum, and conservation of momentum

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**5. Dynamics of Rotational Motion:**

**(A) Newton’s laws of motion applied to rotational motion**

- Applications of Newton’s first, second, and third laws to rotational motion

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(B) Torque and angular momentum**

- Concepts and calculations of torque, angular momentum, and conservation of angular momentum

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(C) Work, energy, and power in rotational motion**

- Concepts and calculations of work, rotational kinetic energy, potential energy, conservation of energy, and power

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**6. Collisions:**

**(A) Elastic and inelastic collisions**

- Concepts and equations for elastic and inelastic collisions in one and two dimensions

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(B) Conservation of momentum and energy in collisions**

- Applications of conservation of momentum and energy to collisions

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**7. Motion of Connected Bodies:**

**(A) Pulleys and inclined planes**

- Applications of Newton’s laws to pulleys and inclined planes

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(B) Motion in a vertically-oriented circular path**

- Concepts and equations for motion in a vertical circle

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**(C) Motion on a horizontal track with friction**

- Concepts and equations for motion on a horizontal track with friction

Reference: NCERT Class 11, Chapter 4: Motion in a Plane

**8. Special Topics:**

**(A) Simple harmonic motion**

- Concepts and equations for simple harmonic motion

Reference: NCERT Class 12, Chapter 14: Oscillations

**(B) Motion of a rigid body in two dimensions**

- Concepts and equations for translation, rotation, and combination of translation and rotation

Reference: NCERT Class 12, Chapter 14: Oscillations

**(C) Plane trusses and frames**

- Concepts and equations for equilibrium of plane trusses and frames

Reference: NCERT Class 12, Chapter 14: Oscillations