Lessons on Rigid Dynamics |
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Page 3
... length or angle in a certain time . Properties of small linear and angular displacements are properties of linear and angular velocities . If , therefore , a body is subject to two inde- pendent motions , as rotations about two axes or ...
... length or angle in a certain time . Properties of small linear and angular displacements are properties of linear and angular velocities . If , therefore , a body is subject to two inde- pendent motions , as rotations about two axes or ...
Page 12
... length as the angular velocity contains units of angular velocity . An angular velocity in the opposite direction is represented by a straight line measured along Ox ' . With this convention a positive angular velocity round Ox - one of ...
... length as the angular velocity contains units of angular velocity . An angular velocity in the opposite direction is represented by a straight line measured along Ox ' . With this convention a positive angular velocity round Ox - one of ...
Page 20
... length of the simple pendulum which swings in the same time as any given rigid body swinging about a horizontal axis . This was solved by Huyghens in 1673 by the help of the correct principle , that if a pendulum in the shape of a rigid ...
... length of the simple pendulum which swings in the same time as any given rigid body swinging about a horizontal axis . This was solved by Huyghens in 1673 by the help of the correct principle , that if a pendulum in the shape of a rigid ...
Page 24
... length RS traversed by one of the bodies R in the time in which it would , unconstrained , have traversed RT ; for then the velocities BG , AM of the other bodies will be known . Now consider the impressed velocities RT , BQ , AO as ...
... length RS traversed by one of the bodies R in the time in which it would , unconstrained , have traversed RT ; for then the velocities BG , AM of the other bodies will be known . Now consider the impressed velocities RT , BQ , AO as ...
Page 48
... lengths 2a , 2b are hinged at A - 0 being fixed - and they rotate in one plane with angular velocities w , w ' . Prove that the force which causes the motion of translation of AB is the resultant of the following : mass AB . ( w ” .b + ...
... lengths 2a , 2b are hinged at A - 0 being fixed - and they rotate in one plane with angular velocities w , w ' . Prove that the force which causes the motion of translation of AB is the resultant of the following : mass AB . ( w ” .b + ...
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Common terms and phrases
angular acceleration angular momentum angular velocity Cambridge centre of inertia centre of mass Christ's College cloth co-ordinates cos² couple Crown 8vo cylinder direction distance dt dt dt² effective forces ellipsoid English equal equilibrium Extra fcap fixed axis fixed point force acting friction geometrical Hence hoop horizontal plane impressed forces impulsive inclined kinetic energy late Fellow length 2a linear Mathematical middle point moment of inertia moments of inertia motion moving numerous oscillation Owens College particle pendulum perpendicular position pressure principal axes principle problem product of inertia Professor Prove radius radius of gyration resultant reversed right angles rigid body rotation round Schools Second Edition shew solution sphere straight line string suppose taking moments tion translation tube uniform rod vertical plane whence whole zero Σδη
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