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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
a bicycle chain consists of n freely jointed links forming a closed loop the chain can slide freely on a smooth
triangular coffee table a trendy swedish coffee table has an unsymmetrical triangular glass top supported by a leg at
leaning triangular panel a rough floor lies in the horizontal plane z 0 and the planes x 0 y 0 are occupied by
supermarket belt a circular cylinder which is axially symmetric but not uniform has mass m and moment of inertia mk2
yo-yo with moving support a uniform circular cylinder a yo-yo has a light inextensible string wrapped around it so that
a circular disk of mass m and radius a is smoothly pivoted about its axis of symmetry which is fixed in a horizontal
rolling or sliding a uniform ball is released from rest on a rough plane inclined at angle alpha to the horizontalthe
from sliding to rolling a snooker ball is at rest on the table when it is projected forward with speed v and no angular
general rigid pendulum a rigid body of general shape has mass m and can rotate freely about a fixed horizontal axis the
bug running on a hoop a uniform circular hoop of mass m can slide freely on a smooth horizontal table and a bug of mass
in the theory of dynamical systems a point is said to be an asymptotically stable equilibrium point if it lsquoattracts
projectile using cartesian coordinates find the hamiltonian for a projectile of mass m moving under uniform gravity
a smooth wire has the form of the helix x a cos theta y a sin theta z btheta where theta is a real parameter and a b
a particle is constrained to move over a smooth fixed surface under no forces other than the force of constraint by
a heavy uniform rope of length 2a is draped symmetrically over a thin smooth horizontal peg the rope is then disturbed
a uniform heavy rope of length a is held at rest with its two ends close together and the rope hanging symmetrically