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solve lagranges equations for the top numerically and obtain the motions of the axis shown in given figure use eulers
frisbee with resistance re-solve the problem of the frisbee with resistance given problem by using eulers equations
stability of steady rotation an unsymmetrical body is in steady rotation about a principal axis through g by performing
bicycle wheel a bicycle wheel a hoop of mass m and radius a is fitted with a smooth spindle lying along its symmetry
spinning hoop on a smooth floor a uniform circular hoop of radius a rolls and slides on a perfectly smooth horizontal
frisbee with resistance a wobbling frisbee moving through air is subject to a frictional couple equal to k omega find
a juggler is balancing a spinning ball of diameter 20 cm on the end of his finger estimate the spin required for
estimate how large the spin n of a pencil would have to be for it to be stable in the vertically upright position
the sleeping top by performing a perturbation analysis show that a top will be stable in the vertically upright
investigate the steady precession of a top for the case in which the axis of the top moves in the horizontal plane
ball rolling on a rotating turntable a rough horizontal turntable is made to rotate about a fixed vertical axis through
ball rolling on a slope a uniform ball can roll or skid on a rough plane inclined at an angle beta to the
determine the dynamical symmetry if any of each the following bodies about their centres of massi a frisbeeii a piece
a uniform rectangular block has mass m and sides 2a 2b and 2c find the principal moments of inertia of the block i at
find the principal moments of inertia of a uniform cube of mass m and side 2a i at its centre of mass ii at the centre
a uniform hemisphere has mass m and radius a a spinning top is made by fitting the hemisphere with a light spindle ab
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