COURSE OBJECTIVES

Students will learn about Cartesian coordinate system, Position, Velocity, Acceleration, and position-Time, Velocity-Time, Acceleration –Time Graphs, Rectilinear, curvilinear motion and projectile motion. Students would be able to solve the problems related to Polar coordinate system and its application on space curvilinear motion. Students would be familiarized with Newton’s second law and its application in Cartesian, Normal and tangential and polar coordinates system.Students would learn to apply principles of work energy impulse and momentum for particles and rigid bodies

COURSE LEARNING OUTCOMES (CLO)

CLO-1: Comprehend key concepts related to position, velocity and acceleration in Cartesian, Normal and Tangential and Polar Coordinate Systems. (C2)

CLO-2: Comprehend concepts related to kinetics, work and energy for particles and rigid bodies. (C2)

CLO-3: Analyze the problems related to kinematics of particles and rigid bodies using different coordinate systems. (C4)

CLO-4: Analyze the problems related to Kinetics of rigid bodies using different principles and techniques for their solution. (C4)

COURSE CONTENTS

  1. Kinematics of a Particle – Five Lectures
  • Rectilinear Kinematics: Continuous Motion
  • Rectilinear Kinematics: Erratic Motion
  • General Curvilinear Motion
  • Curvilinear Motion: Rectangular Components
  • Motion of a Projectile
  • Curvilinear Motion: Normal and Tangential Components
  • Curvilinear Motion: Cylindrical Components
  • Absolute Dependent Motion Analysis of Two Particles
  • Relative-Motion of Two Particles Using Translating Axes

2. Kinetics of a Particle: Force and Acceleration – Four Lectures

  • Newton’s Second Law of Motion
  • The Equation of Motion
  • Equation of Motion for a System of Particles
  • Equations of Motion: Rectangular Coordinates
  • Equations of Motion: Normal and Tangential Coordinates
  • Equations of Motion: Cylindrical Coordinates

3. Kinetics of a Particle: Work and Energy – Three Lectures

  • The Work of a Force
  • Principle of Work and Energy
  • Principle of Work and Energy for a System of Particles
  • Power and Efficiency
  • Conservative Forces and Potential Energy
  • Conservation of Energy

4. Kinetics of a Particle: Impulse and Momentum – Four Lectures

  • Principle of Linear Impulse and Momentum
  • Principle of Linear Impulse and Momentum for a System of Particles
  • Conservation of Linear Momentum for a System of Particles
  • Impact

5. Planar Kinematics of a Rigid Body – Six Lectures

  • Planar Rigid-Body Motion
  • Translation
  • Rotation about a Fixed Axis
  • Absolute Motion Analysis
  • Relative-Motion Analysis: Velocity
  • Instantaneous Center of Zero Velocity
  • Relative- Motion Analysis: Acceleration

6. Planar Kinetics of a Rigid Body: Force and Acceleration – Five Lectures

  • Moment of Inertia
  • Planar Kinetic Equations of Motion
  • Equations of Motion: Translation
  • Equations of Motion: Rotation about a Fixed Axis
  • Equations of Motion: General Plane Motion

7. Planar Kinetics of a Rigid Body: Work and Energy – Five Lectures

  • Kinetic Energy
  • The Work of a Force
  • The Work of a Couple
  • Principle of Work and Energy
  • Conservation of Energy