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MECHANICS OF A MATERIAL POINT
Motion in Space
Central Forces Potential
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acceleration accented co-ordinate according arbitrary assume axis of rotation calculate called centre of gravity co-ordinate axes co-ordinate system coincides components const constant constraining force corresponding couple d'Alembert's principle definite degrees of freedom denotes depends determined direction-cosines distance driving forces earth ellipsoid equal to zero equations of condition equations of motion equilibrium equipotential surfaces example expression external forces finite fixed point follows force F forces acting forces of constraint given Hence infinitely infinitesimal initial velocity integration kinetic energy magnitude and direction mass material point mechanical moments of inertia obtain origin of co-ordinates pendulum perpendicular plane point of application point-mass point-system Poisson's equation polhode position of equilibrium prescribed conditions principle of sectorial quantities radius rectilinear reference-point relationship remains resultant F resultant force rigid body sectorial areas sphere spherical layer straight line string system of forces theorem vanishes variations vector vibration virtual displacements viva z-axis