Course Contents
Unit 1: Basic Concepts: 1.1 Units and Dimensions 1.2 SI Units and Changing Units 1.3 Scalars and Vectors 1.4 Adding Vectors: Graphical as well as Component Method 1.5 Multiplying Vectors: Dot and Cross Products.
Unit 2: Motion in One, Two and Three Dimensions: 2.1 Position & Displacement
2.2 Velocity and Acceleration
2.3 Motion under Constant Acceleration
2.4 Projectile Motion
2.5 Uniform Circular Motion
2.6 Relative Velocity and Acceleration in One and Two Dimensions
2.7 Inertial and Non-Inertial Reference Frames.
Unit 3: Newton’s Laws:
3.1 Newton’s Laws of Motion and their Applications
3.2 Normal Force
3.3 Tension,
3.4 Friction and Centripetal Force
3.5 Newton’s Law of Gravitation 3.6 Gravitational Potential Energy.
Unit 4: Work and Kinetic Energy:
4.1 Work done by Constant and Variable Forces: Gravitational and Spring Forces
4.2 Power
4.3 Conservative and Non-conservative Forces
4.4 Work and Potential Energy.
Unit 5: System of Particles
5.1 Motion of a System of Particles and Extended Rigid Bodies
5.2 Center of Mass and Newton’s Laws for a System of Particles
5.3 Linear Momentum
5.4 Impulse
5.5 Momentum & Kinetic Energy in One and Two Dimensional Elastic and Inelastic Collisions.
Unit 6: Rotational Motion:
6.1 Rotation about a Fixed Axis
6.2 Angular Position, Angular Displacement
6.3 Angular Velocity and Angular Acceleration
6.4 Torque and Newton’s Law for Rotation
6.5 Work and Rotational Kinetic Energy
6.6 Rolling Motion.
Unit 7: Angular Momentum:
7.1 Angular Velocity
7.2 Conservation of angular momentum
7.3 Effects of Torque and its relation with angular momentum.
Unit 8: Special Theory of Relativity: 8.1 Inertial and non-inertial frame
8.2 Postulates of Relativity
8.3 The Lorentz Transformation
8.4 Derivation, Consequences of Lorentz transformation
8.5 Relativity of time, length, and mass.
Course Synopsis
The main objective of this course is to understand the different motions of objects on a macroscopic scale and to develop simple mathematical formalisms to analyze such motions. This is a calculus- based introductory course with maximum emphasis on applying the acquired knowledge to solving problems.
Course Learning Outcomes
Upon completing this course, students will: Be able to analyze and explain the components of linear and rotational motion (displacement, velocity, acceleration) including graphs and their interrelationships Be able to apply different forces and work force problems including the fundamental force of gravity and Newton’s laws Be able to classify the different forms of energy and use the conservation of energy to work problems Be able to define impulse, momentum and collisions Identify and describe fluids in motion and at rest. 6. Explain simple harmonic motion and waves including their properties.
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Title : Inertial and non inertial frame of reference
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Title : motion under constant acceleration
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Title : projectile and displacement
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Title : projectile motion
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Title : relative velocity and acceleration
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Title : uniform circular motion
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Title : velocity and acceleration
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Title : tension
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Title : scalar and vector quantities
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Title : scalar and cross product
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Title : normal force
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Title : Newton's law motion
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Title : Newton's law of gravitation
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Title : conservative and non conservative force
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Title : Friction and Centripetal force
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