Mechanics

Paper Code: 
PHY-101
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

To acquaint the students with the fundamental laws and principles involved in motion and to introduce some properties of matter like elasticity so that they develop abilities and skill that are relevant to the study and practice of Physics.

10.00
Unit I: 
Physical Laws and Frames of Reference:

Inertial and non inertial frames, examples, Transformation of displacement, velocity and acceleration between different frames of reference involving translation in uniform motion, Galilean transformation and invariance of Newton’s laws, Transformation equations of displacement velocity and acceleration for rotating frames, Fictitious forces (Coriolis force and centrifugal force), effects of Centrifugal  and  Coriolis forces due to earth’s rotation, Focault’s pendulum.

9.00
Unit II: 
Centre of mass:

Centre of mass of a two particle system, motion of centre of mass and reduced mass conservation of linear momentum, elastic and inelastic collision of two particles in laboratory and center of mass frames, motion of a system with varying mass, Angular momentum conservation with examples, charged particle scattering by nucleus.

8.00
Unit III: 
Motion under central forces:

Motion under central forces, gravitational interaction, general solution under gravitational interaction, discussion of trajectories, cases of elliptical and circular orbits, Keplers laws.

9.00
Unit IV: 
Special theory of relativity:

 Postulates of special theory of relativity, Lorentz transformations, length contraction, Time dilation, transformation and addition of velocities, Relativistic Doppler’s effect, space- like space time interval, time-like space time interval.

9.00
Unit V: 
Elastic Properties of Matter:
Elastic constants: Young’s Modulus, Bulk Modulus, Modulus of Rigidity, Poisson’s ratio. Relations between the elastic constants, torsion of a cylinder.
 Bending of beams: Bending moment, Cantilever, Potential energy and oscillation of a loaded cantilever, cantilever loaded at one end (i) when weight of beam is negligible 
(ii) When weight is considered, Beam supported at both ends and loaded in the middle, Experimental determination of elastic constants (Y, h ,s).
Essential Readings: 
1. “Elements of Mechanics”, Gupta, Prakash and Agrawal, Pragati Prakashan, Meerut.
2. “Elements of Mechanics”, J.C.Upadhyaya ,Himalaya Publishing House,2006.
 
References: 
1. “Fundamental University Physics”, Vol. I and II, Addison  Wesley, Reading      Mars, LISA.
2. “Berkley Physics Course”, Vol. I, Mc. Graw Hill, New York.
3. “The Feynmann Lectures in Physics”, Vol. 1, R. P. Feynman, R.B. Leighton and M. Sands , B.I. Publications, Bombay, Delhi, Calcutta, Madras.
4. “Physics”,Part 1, David Halliday and Resnick , John Wiley and Sons, Inc. Newyork. 
5. “Properties of  Matter”, D.S.Mathur, S.Chand & Company.
 
Academic Year: 
2015-2016
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