21PHY106 MECHANICS PHYSICS PAPER – I–

Unit I-

Vector Analysis: Integrals (line, surface and volume), Physical significance of Gradient, Divergence and curl, statement of Gauss’s and Stroke’s theorems.

Particle dynamics: Review of the equations of motion, projectile motion, Newton’s First, Second and Third Law of Motion, Newton’s I Law as a basic kinematical law defining a frame of reference, Newton’s II Law as a basic dynamical law of mechanics, Newton’s III law as an interaction law, Frames of reference, inertial and non-inertial, pseudo forces, Force laws, weight and mass, Application of Newton’s law, importance of free body
diagrams representing forces on the body in a free body diagram and frictional forces. Discussion of importance of friction in daily life.

Unit II-

Conservation Laws: Introduction, conservative forces, potential energy, complete solution for one, two and three dimensional systems, non-conservative forces, conservation of energy, conservation of energy to be seen as a spreading out and appearing in different forms, mass and energy.

Conservation of Linear Momentum: Centre of mass, motion of the center of mass, linear momentum of a particle, linear momentum of a system of particles, conservation of linear momentum, some applications of momentum principle, systems of variable mass – Rocket equation.

Collisions: Elastic and Inelastic, Collision in one and two dimensions

Unit III-

Gravitation: Historical Introduction, Newton’s law of Universal Gravitation, Universal Gravitation constant ‘G’, inertial and gravitational mass, variation in acceleration due to gravity with altitude and depth, motion of planets and satellites, gravitational field and potential, gravitational potential energy, potential energy for many particle systems, calculations of field and potential for (a) a spherical shell, (b) a sphere, energy consideration in the motion of planets and satellites.

Central Force: Kepler’s laws of planetary motion, the inverse square law, Rutherford’s problem, derivation of Kepler’s Law from Universal law of Gravitation

Unit IV-

Rotational Kinematics: Rotational variables, angular velocity, angular acceleration, Rotation with constant angular acceleration, Linear and angular variables, kinetic energy of rotation, rotational inertia, calculation of rotational inertia – of a rod, sphere and cylinder, torque, Newton’s laws of rotation, work, power and work – kinetic energy theorem.

Dynamics of Rigid bodies: Angular momentum and moment of inertia, Theorem on moment of inertia, moment of inertia for (i) solid cylinder, (ii) rectangular slab, (iii) solid sphere and (iv) circular hoop.

Unit V-

Fluid Mechanism: Fundamental Definitions, Flow characteristics, Classifications of fluids, Fluid properties, Ideal fluids, Equation of Continuity, Irrational and rational Flow, Potential and stream functions, Viscous fluids, critical velocity, Derivation of Poiseuille’s Equation.

TEXTBOOKS:

  1. J C Upadhyaya, “Classical Mechanics”, Himalaya Publishing house, Reprint-2013.
  2. D S Mathur, “Mechanics”, S Chand and company, New Delhi, Reprint-2001.
  3. BrijLal, N Subrahmanyam, “Properties of matter”, 6th edition, Eurasia publishing house Ltd. New Delhi, Reprint-1993.
  4. Hertbert Goldstein, “Classical Mechanics”, Addison Wellay Publication

REFERENCES:

  1. Halliday, Resnick, Jearl Walker, “Principles of Physics” 9th edition, Wiley, 2013.
  2. Berkeley Physics Course, Vol-1 “Mechanics”, 2nd edition, Charles Kittle, Walter D Knight,Malvin A Ruderman, Carl A Helmholz, Burton J Moyer, Tata McGraw Hill Education Private Limited, New Delhi, (SIE)-2011.
  3. D S Mathur, “Elements of properties of matter”, S Chand and company, New Delhi, Reprint-2007.