Physics I

Content

Objective

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Course Content

-1. Mathematical Introduction
• Vector analysis (Scalar/dot and vector/cross products)
• Cartesian and cylindrical coordinate systems
• Applications of differential and integral calculus
• Differential equations (Fundamental level for mechanics)
2. Kinematics
• Motion in one dimension (Position, velocity, and acceleration vectors)
• Motion in two and three dimensions (Projectile motion)
• Uniform circular motion
3. Dynamics
• Concept of force and free-body diagrams
• Newton's Laws of Motion
• Friction force and dynamics of circular motion (Centripetal force)
4. Kinetics (Work and Energy)
• Work-Kinetic Energy Theorem
• Conservative and non-conservative forces
• Potential energy
• Conservation of mechanical energy
5. Linear Momentum and Collisions
• Center of mass (Transition from point particles to rigid bodies)
• Linear momentum and Impulse
• Conservation of linear momentum
• Elastic and inelastic collisions

6. Rotational Kinematics and Dynamics
• Rotational kinematics of rigid bodies
• Moment of inertia and rotational kinetic energy
• Torque and Newton's 2nd Law for rotational motion
• Angular Momentum and its conservation
• Rolling motion (Combination of translation and rotation)
7. Oscillations and Simple Harmonic Motion (SHM)
• Hooke's Law and restoring force
• Kinematic equations of SHM (Time dependence of position, velocity, and acceleration)
• Energy transformations and conservation in SHM
• Applications: Simple pendulum and physical pendulum
• Introduction to damped and driven oscillations, Resonance

Assessment System