17-02-2018, 09:44 AM
[b] [/b]Hi am indumathi i would like to get details on dynamic written by dr m k venkataraman ..My friend Justin said dynamic written by dr m k venkataraman will be available here and now i am living at pondy and i last studied in the college prist university and now am doing III maths i need help on the following syllabus covered notes
Unit I – Projectiles:
The path of projectiles Characteristics of the motion – range – the velocity – direction of the projectiles – Given the magnitude of the velocity of projection there are two directions of projection for the particle so as to reach a given range on an inclined plane – motion on the surface of a smooth inclined plane – Enveloping parabola.
Unit II – Collision of Elastic bodies:
Definitions – Fundamental laws of impact – impact of a smooth sphere on fixed smooth plane – Direct impact of two smooth spheres – loss of Kinetic Energy due to direct impact of smooth spheres – Dissipation of energy due to impact – compression and restitution.
Unit III – Simple Harmonic Motion (SHM):
SHM in straight line – General solution of SHM equation – Composition of two SHMS of the same period and in the same straight line – Composition of two SHM’s of the same period in two perpendicular directions – Motion of a particle suspended by a spiral spring – Horizontal Oscillations of a particle tied to an elastic spring – period of oscillations of simple pendulum – Equivalent simple pendulum – the seconds pendulum – loss or gain in the number of oscillations made by pendulum.
Unit IV – Motion under the action of central forces:
Velocity and acceleration in polar coordinates. Differential equation of Central orbits – perpendicular from the pole in the tangent – Formulae in polar coordinates – Pedal equation of the Central orbits – Velocities in a Central orbit – Given the law of force to the pole, find the orbit.
Unit V – Moment of Inertia and Motion of a rigid body about a fixed axis.
Definitions – Theorem of parallel axes –theorems of perpendicular axes – M.I. in some particular cases – Motion of a rigid body about a fixed axis – Introduction – K.E. of a rigid body rotating about a fixed axis – Angular momentum of a rigid body about the axis of rotation – motion of a rigid body about rotation – Conservation of angular momentum – Compound pendulum.
