# THEORY OF MACHINES -I

PRE-REQUISITE: Knowledge of complex algebra, Vector and differential calculus. Engineering mechanics.

Faculty: Dr. S. Sathyanarayanan

OBJECTIVE: This is an introductory course on mechanisms and machines. The student will be exposed to various methods of analysis and synthesis of mechanisms and theory of gears, gear trains and cams.

1. Definitions and basic concepts: Position, velocity and acceleration of a particle in rectilinear motion, curvilinear motion-Velocity and Acceleration: Analysis of simple mechanisms using graphical and analytical methods

2. Cams : Types of cams and followers -Computation of velocity and acceleration of followers by equivalent mechanism with lower pairs

3. Friction : Law of dry friction - co-efficient of friction - Angle of friction - wedges, square threaded screws

4. Law of gearing - tooth forms - involute gear, minimum number of teeth to avoid interference - contact ratio, Helical gears - overlap ratio. Types - speed ratio and torque calculations in epicyclic gear trains

5. Gyroscopic couple and effects in Cars, Scooters, Aero planes - Gyroscopic stabilization - Complex mechanisms - velocity and acceleration analysis, Geneva mechanism, Motion picture drive -Mechanism, Heavy sewing machine mechanism - characteristics.

TEXT BOOKS

1. Ballaney, P.L., "Theory of Machines", Khanna Publications, 1996
2. R.S.Kurmi&Gupta 'Theory of machines".

REFERENCES
1. Ballaney, P.L., "Theory of Machines", Khanna Publications, 1996
2. R.S. Kurmi & Gupta ÃƒÂ¯Ã‚Â¿Ã‚Â½Theory of machinesÃƒÂ¯Ã‚Â¿Ã‚Â½.
3. Shigley, J.E. and Uicker, J.J., "Theory of Machines and Mechanisms", McGraw Hill, 1995.