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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
a particle moves freely in the gravitational field of a fixed mass distribution find the conservation principles that
a particle p of mass m slides on the smooth inner surface of a circular cone of semiangle alpha the axis of symmetry of
a particle of mass m moves under the gravitational attraction of a fixed mass m situated at the origintake polar
suppose a particle is subjected to a time dependent force of the form f f t grad wrshow that this force can be
bug on a hoop a uniform circular hoop of mass m can slide freely on a smooth horizontal table and a bug of mass m can
pendulum with a shortening string a particle is suspended from a support by a light inextensible string which passes
yo-yo with moving support a uniform circular cylinder a yo-yo has a light inextensible string wrapped around it so that
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 particle p is connected to one end of a light inextensible string which passes through a small hole o in a smooth
a rigid rod of length 2a has its lower end in contact with a smooth horizontal floor initially the rod is at an angle
a uniform ball of mass m rolls down a rough wedge of mass m and angle alpha which itself can slide on a smooth
a uniform disk of mass m and radius a can roll along a rough horizontal rail a particle of mass m is suspended from the
a uniform solid cylinder c with mass m and radius a rolls on the rough outer surface of a fixed horizontal cylinder of
the swinging door a uniform rectangular door of width 2a can swing freely on its hinges the door is misaligned and the
double attwood machine a light pulley can rotate freely about its axis of symmetry which is fixed in a horizontal
attwoods machine a uniform circular pulley of mass 2m can rotate freely about its axis of symmetry which is fixed in a