June 6, 2007

PH 101

Physical quantities, dimensional analysis, velocity and acceleration in
plane polar coordinates. Dynamics in non- inertial frame: linearly
acelerating frames, rotating frame, centrifucal and Coriolis forces.
Conservation of momentum: many particle system, collison in two dimensions,
system with variable mass, principle of rocket motion. Motion of rigid
bodies: kinematics of rigid body motion, Euler angles, fixed axis rotation,
inertia tensor, motion of a symmetrical top. Special theory of relativity:
Galilean relativity, Michelson Morley experiment, Fitzgerald contraction and
time dilation, Lorentz transformation, Einsteins s formulation of special
relativity, space time view -points, four vectors.
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CE 102

Equivalent Force Systems: Basic concepts of force-couple systems. planar
firce systems: parallel force systems; simplest equivalent for general force
system- "wrench". distributed force systems. Equations of Statics and its
Applications: Simple frictionless rigid body assemblies; two foce members:
machines: trusses: cables: rigid body assemblies including friction. Virtual
Work and Potential Energy Principles: Application of these principles as
replacement of equations of statics for real life problems. Vibrations:
Equations of motion for single degree-of-freedom systems and rigid body
assemblies: free vibration (simple harmonic oscillator): concepts of
dampling and cirtical damping: damped free vibration: equations of motion
for harmonic excitation: transient and steady-state vibrations: illustration
of MDOF systems concepts with two degree-of-freedom systems.
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ESSENTIAL TOPICS FROM THE ABOVE: dimensional analysis, velocity and
acceleration in plane polar coordinates. Dynamics in non- inertial frame:
linearly acelerating frames, rotating frame, centrifucal and Coriolis
forces.

Equivalent Force Systems: Basic concepts of force-couple systems. planar
firce systems: parallel force systems; simplest equivalent for general
force system- "wrench". distributed force systems. Equations of Statics
and its Applications:
OTHER IMPORTANT TOPICS
Simple frictionless rigid body assemblies; two foce
members: machines: trusses: cables
Equations of motion for single degree-of-freedom
systems and rigid body assemblies:
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JEE MECHANICS SYLLABUS

Kinematics in one and two dimensions (Cartesian coordinates only),
projectiles; Uniform Circular motion; Relative velocity.

Newton's laws of motion; Inertial and uniformly accelerated frames of
reference; Static and dynamic friction; Kinetic and potential energy; Work
and power; Conservation of linear momentum and mechanical energy.

Systems of particles; Centre of mass and its motion; Impulse; Elastic and
inelastic collisions.

Law of gravitation; Gravitational potential and field; Acceleration due to
gravity; Motion of planets and satellites in circular orbits; Escape
velocity.

Rigid body, moment of inertia, parallel and perpendicular axes theorems,
moment of inertia of uniform bodies with simple geometrical shapes; Angular
momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies
with fixed axis of rotation; Rolling without slipping of rings, cylinders
and spheres; Equilibrium of rigid bodies; Collision of point masses with
rigid bodies.

Linear and angular simple harmonic motions.

Hooke's law, Young's modulus.

Pressure in a fluid; Pascal's law; Buoyancy; Surface energy and surface
tension, capillary rise; Viscosity (Poiseuille's equation excluded), Stoke's
law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli's
theorem and its applications.

Wave motion (plane waves only), longitudinal and transverse waves,
superposition of waves; Progressive and stationary waves; Vibration of
strings and air columns;Resonance; Beats; Speed of sound in gases; Doppler
effect (in sound).