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