UNIT 1:
Equilibrium of a particle - Principle of transmissibility - Lame’s theorem
Coplanar Forces - Laws of Mechanics
Parallelogram and triangular Law of forces
Parallelogram and triangular Law of forces
Vectorial representation of forces and moments
Introduction - Units and Dimensions
Resolution and Composition of forces
UNIT 2:
Types of supports and their reactions -requirements of stable equilibrium
Equilibrium of Rigid bodies in three dimensions
Forces in space -Equilibrium of a particle in space
Equivalent systems of forces
Equilibrium of Rigid bodies in three dimensions
Moment of a force about a point and about an axis
Vectorial representation of moments and couples - Scalar components of a moment
UNIT 3:
Determination of centroid of areas, volumes and mass
Pappus and Guldinus theorems
Moment of inertia of plane and areas
Moment of inertia of plane and areas - Problems
Perpendicular axis theorem
Radius of gyration of area
UNIT 4:
Displacements, Velocity and acceleration, their relationship
Displacements, Velocity and acceleration, their relationship
Work Energy Equation of particles
UNIT 5:
Friction force - Laws of sliding friction
Equilibrium analysis of simple systems with sliding friction
Translation and Rotation of Rigid Bodies
Velocity and acceleration
General Plane motion of simple rigid bodies such as cylinder, disc/wheel and sphere
General Plane motion of simple rigid bodies such as cylinder, disc/wheel and sphere
