In this course subject, it is expected that students must be able to:
1. Discuss the principles governing the motion of the particles, velocity, and acceleration.
2. Discuss the principles of Newton's Second Law of motion and its applications.
3. Explain the kinematics of rigid bodies, its energy and momentum.
Dynamics is the part of mechanics that deals with the analysis of bodies in motion. The first significant contribution to dynamics was made by Galileo (1564–1642). Galileo’s experiments on uniformly accelerated bodies led Newton (1642–1727) to formulate his fundamental laws of motion. Dynamics is divided into two parts: kinematics, which treats only the geometric aspects of motion, that is the analysis of forces causing the motion.
Galileo Galilei
Isaac Newton
Here contains the module topics pertinent to the study of dynamics of rigid bodies:
This module discusses the principles governing the motion of particles, velocity, and acceleration.
Unit Topics:
Introduction to Dynamics
Position, Velocity, and Acceleration
Determination of the Motion of the Particles
Uniform Rectilinear Motion
Uniformly Accelerated Rectilinear Motion
This module is a continuation of topics discussed in Module 1 along with principles of Newton's Second Law and its corresponding applications.
Unit Topics:
Position Vector, Velocity, and Acceleration
Derivatives of Vector Functions
Rectangular Components of Velocity and Acceleration
Flight of Projectile
Tangential and Normal Components of Acceleration
Kinetics of Particles: Newton's Second Law
Dynamic Equilibrium
This module will walk you through the Kinematics of Rigid Bodies – to learn how the velocity and acceleration of the particles of a rigid body are related to the translational and rotational parts of its motion.
Unit Topics:
Translation
Rotation About a Fixed Axis
Equations defining the Rotation of a Rigid Body about a fixed axis
General Plane Motion
Absolute and Relative Velocity in Plane Motion
Instantaneous Center of Rotation in Plane Motion
Absolute and Relative Acceleration
Rate of Change of a Vector with Respect to a Rotating Frame
Plane Motion of a Particle Relative to a Rotating Frame; Coriolis Acceleration
Motion About a Fixed Point
General Motion
This module focuses on the kinetics of rigid bodies, i.e., relations between the forces acting on a rigid body.
Equation of Motions
Angular Momentum of a Rigid Body in Plane Motion
Plane Motion of a Rigid Body. D’ Alembert’s Principle
Solution of Problems involving the Motion of a Rigid Bodies
Systems of Rigid Bodies
Constrained Plane Motion
This module is a continuation Plane Motion of Rigid Bodies,it also focuses on the kinetics of rigid bodies, i.e., the shape and mass of the body, and the motion produced.
Principle of Work and Energy for a Rigid Body
Work of Forces Acting on a Rigid Body
Kinetic Energy of a Rigid Body in Plane Motion
Systems of Rigid Bodies
Conservation of Energy
Principle of Impulse and Momentum
Conservation of Angular Momentum
Impulsive Motion
Eccentric Impact