Solutions of the Examples Appended to A Treatise on the Motion of a Rigid Body |
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Common terms and phrases
2g h a² b² accelerating force angle angular velocity axis of figure ball body c² a² CA² CB² central ellipsoid centre of gravity CG² co-ordinate axes cone cos² cosec cot² couple cube cylinder diameter direction cosines disc distance dt dt dt dy dt F dx dt dy dt effective force ellipsoid equations of motion Hence horizontal action horizontal and vertical impulse inclination inertia instantaneous axis invariable plane k² sin² length Let C fig Ma² mass Mk² moment of inertia moves Mr² Mw² P₁ P₂ parallel particle perpendicular point of contact position pressure principal axes R₁ radius reaction revolves rotation shew space sphere tan² velocities of translation viva gives w₁ wheel аф
Popular passages
Page 83 - its moment of inertia about an axis through G perpendicular to the plane of motion,
Page 97 - impinge at once on a third equal ball lying at rest, so that the centres of the three at the moment of impact form an equilateral triangle in the plane of the motion of the two balls.
Page 52 - be the traces of the axes on a plane perpendicular to them
Page 5 - about an axis through its centre perpendicular to its plane is Mr 2
Page 10 - are principal axes, and the moments of inertia about them are a
Page 97 - Two equal smooth balls moving in parallel straight lines with a common velocity V