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