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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
there is no general solution to the problem of determining the motion of three or more bodies moving under their mutual
a particle a of mass 3m is suspended from a fixed point o by a spring of strength alpha and a second particle b of mass
rod pendulum a uniform rod of length 2a is suspended from a fixed point o by a light inextensible string of length b
triple pendulum a triple pendulum has three strings of equal length a and the three particles starting from the top
a light elastic string is stretched to tension t0 between two fixed points a and b a distance 3a apart and two
a rod of mass m and length l is suspended from two fixed points at the same horizontal level and a distance l apart by
a uniform rod is suspended in a horizontal position by unequal vertical strings of lengths b c attached to its ends
geodesics on a cone solve the problem of finding a shortest path over the surface of a cone of semi-angle alpha by the
helical symmetry a particle moves in a conservative field whose potential energy v has helical symmetry this means that