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a uniform circular disk has mass m and radius a a spinning top is made by fitting the disk with a light spindle ab
1 find the principal moments of inertia of a uniform circular disk of mass m and radius a i at its centre of mass and
in crystalline materials the ordinary elastic moduli are replaced by cijkl a fourth order tensor with eighty one
if the matrix t represents a second order tensor show that det t is an invariantwe have now found three invariant
1 write out the transformation formula for a fifth order tensor the main difficulty is finding enough suffix names2
if a mass of liquid in gravity free space is in equilibrium then it has the form of a sphere stabilised by its own
a sealed circular can of radius a is three-quarters full of water of density rho the remainder being air at pressure p0
newtons bucket a bucket half full of water is made to rotate with angular speed about its axis of symmetry which is
a horizontal turntable is made to rotate about a fixed vertical axis with constant angular speed a hollow uniform
one end of a straight rod is fixed at a point o on a smooth horizontal table and the rod is made to rotate around o
consider given problem again this time find the motion of the particle by using the transformed energy equationproblem
larmor precession a particle of mass m and charge e moves in the force field fr and the uniform magnetic field bk where
a particle p of mass m can slide along a smooth rigid straight wire the wire has one of its points fixed at the origin
a circular cone with semi-angle alpha is fixed with its axis of symmetry vertical and its vertex o upwards a second
use the velocity and acceleration transformation formulae to derive the standard expressions for the velocity and
two hollow spheres have radii a and b b gt a and their common centre o is fixed a rigid ball of radius 1 2 b - a can
two rigid plastic panels lie in the planes z -b and z b respectively a rigid ball of radius b can move in the space
a penny of radius a rolls without slipping on a rough horizontal table the penny rolls in such a way that its centre g
a spinning top a rigid body of revolution is in general motion with its vertex a particle on the axis of symmetry fixed
a rigid body is rotating in the right-handed sense about the axis oz with a constant angular speed of 2 radians per
plane triangular molecule the molecule bcl3 boron trichloride is plane and symmetrical in equlibrium the cl atoms are
a light string is stretched to a tension t0 between two fixed points a and b a distance n 1a apart and n particles of
a uniform rod bc has mass m and length 2a the end b of the rod is connected to a fixed point a on a smooth horizontal
decide if the energy surfaces in phase space are bounded in the following casesi the two-body gravitation problem with
integrable systems and chaos a mechanical system is said to be integrable if its equations of motion are soluble in the