Planar Motionmotion 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