Parallelogram law of forces –Analytical representation of the resultant of the two forces acting at a point – Triangle Law of forces –– Lami’s Theorem–(λ-μ) Theorem – Related Problems
Components of a force along two given directions – Resultant of coplanar forces acting at a point – Conditions of Equilibrium of any number of forces acting upon a particle. Parallel Forces: Resultant of Polygon of forces like and unlike parallel forces–Conditions of Equilibrium of Three coplanar parallel forces. Moments: Moment of a force – Geometrical Representation – Varigon’s theorem.
Path of a projectile – Greatest Height –Time of Flight – Maximum horizontal range- Range on an Inclined Plane.
Velocity and Acceleration –Equation of Motion – Differential Equation of Central orbits –Perpendicular from the pole on the tangent – Pedal Equation of central orbits & well known Curves-Velocities of central orbits-Two Folded problems
Impulsive Forces: Definitions – Impact of two forces. Collision of bodies: Fundamental Laws of impact –Newton’s Experimental Laws-Principle of Conservation of Momentum –Impact of smooth sphere on a fixed smooth plane- Direct& oblique Impact of two smooth spheres –Loss of kinetic energy due to direct and oblique impact of two smooth spheres
Reference Book:
“Mechanics” by P. Duraipandian, Laxmi Duraipandian, Muthamizh Jayapragasam, S. Chand & Co, Reprint 2008.
Text Book:
“Statics” by M.K. Venkataram, Agasthiar Publications, Edition IX, 1999. Unit I: Chapter II: Sections 3, 4,5,7,8,9,10. Unit II: Chapter II: Sections 12, 15, 16. Chapter III: Sections 2,3,5,7,9,12.“Dynamics” by M.K.Venkataram, Agasthiar Publications, Edition XI, 2004. Unit III: Chapter VI: Sections 6.1-6.5, 6.12, 6.13, 6. 14. Unit IV: Chapter XI: Sections 11.1 to 11.11. Unit V: Chapter VII: Sections 7.1, 7.2. & Chapter VIII: Sections 8.1 to 8.8