## The Elementary Part of A Treatise on the Dynamics of a System of Rigid Bodies: Being Part I. of a Treatise on the Whole Subject. With Numerous Examples |

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angular momentum angular velocity central axis centre of gravity co-ordinates cone constant couple curve cylinder D'Alembert's principle deduce determine differential coefficients direction displacement distance dynamical effective forces ellipse equal equations of motion equimomental equivalent pendulum expression fixed in space fixed point follows friction function geometrical equations gyration Hence homogeneous function horizontal plane impact impressed forces impulse initial values instantaneous axis integral Invariable Plane Lagrange's equations Lagrangian lamina length linear mass middle point moment of inertia momental ellipsoid moments of inertia moving normal parallel particle perfectly rough perpendicular position of equilibrium pressure principal axes products of inertia prove quadric quantities radius ratio reactions represented resolved velocities rest result round side sliding small oscillations sphere straight line string Substituting suppose surface taking moments tangent plane theorem triangle vertical vis viva viva whole zero