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Equilibrium of Flexible Strings
I. Free Inextensible String; General Conditions of Equilibrium 115
II. Parallel Forces
III. Central Forces
IV. Constrained Equilibrium
V. Extensible Strings
Free Curvilinear Motion of a Particle .
I. Forces Acting in any directions in one Plane
II. Central Forces
III. Tangential and Normal Resolutions
IV. Motion in Resisting Media.
Constrained Motion of a Particle
I. Constrained Motion of Particles without Friction
II. Pressure of a moving Particle on immoveable Plane
III. Motion of a Particle on Rough Plane Curves
IV. Inverse Problems on the Motion of a Particle along im-
moveable Plane Curves.
V. Inverse Problems on the Pressure of a Particle on Smooth
VI. Motion of Particles acted on by smooth constraining lines
moveable according to assigned geometrical conditions
VII. Constrained Motion of a Particle in Resisting Media
Moment of Inertia
I. A Plane Curve about an Axis within its own Plane
A Plane Curve about an Axis at Right Angles to its
III. A Plane Area about an Axis within or parallel to its Plane
IV. A Plane Area about a Perpendicular Axis .
V. Plane Area about an Oblique Axis
VI. Symmetrical Solid about its Axis.
VII. Moment of Inertia of a Solid not Symmetrical with respect
to the Axis of Gyration
VIII. Principal Axes of a Plane Lamina at any proposed point
in the Lamina
1. Motion of a Single Particle
II. Systems of Particles
Motion of Rigid Bodies about Fixed Axes
1. Various Problems
II. Uniform Revolution
III. Centre of Oscillation
Motion of Rigid Bodies. Smooth Surfaces
I. Single Body. Axis of Rotation not Rotating .
II. Single Body. Axis of Rotation Rotating .
III. Several Bodies
Motion of Rigid Bodies. Rough Surfaces
I. Single Body
II. Several Bodies
I. Vis Viva
II. Viş Viva and the Conservation of the Motion of the Centre
III. Vis Viva and the Conservation of Areas
Coexistence of small Oscillations
1. Single Body. Smooth Surfaces. Axes of Rotation, before
and after Impulsive Action, parallel to each other.
II. Single Body. Smooth Surfaces. Determination of Instan-
taneous Axes of Rotation, &c.
III. Several Bodies. Smooth Surfaces
IV. Rough Surfaces