UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN MATHEMATICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester V - Paper XI - Dynamics

Duration of Examination: 3 hrs
Maximum Marks: 100
Credits: 4

Kinematics:

kinematics of a particle, velocity, acceleration, relative velocity, angular velocity, Newton's laws of motion, equation of motion, rectilinear motion under constant acceleration, simple harmonic motion.

Projectiles:

Time of flight, horizontal range, range in an inclined plane. Impulse and impulsive motion, collision of two smooth spheres direct and oblique impact-simple problems.

central forces:

central orbit as plane curve, p-r equation of a central orbit,finding law of force and speed for a given central orbit, finding the central orbit for a given law of force.

Moment of inertia:

Moment of inertia of simple bodies, theorems of parallel and perpendicular axes, moment of inertia of triangular lamina, circular lamina, circular ring, right circular cone, sphere (hollow and solid)

Reference Books:

1. Mechanics-P.Duraipandian and others, S.chand and co.

2. Dynamics-K.Viswanatha naik and M.S.Kasi, Emerald publishers.

3. Dynamics-A.V. Dharmapadam, S.Viswanathan publishers.