Lessons on Rigid Dynamics |
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... given in the books commonly used by stu- dents , are for the most part very brief , and often , through brevity , obscure . It is this deficiency of explanation which I have at- tempted to supply in the following little book . It is not ...
... given in the books commonly used by stu- dents , are for the most part very brief , and often , through brevity , obscure . It is this deficiency of explanation which I have at- tempted to supply in the following little book . It is not ...
Page 6
... given to a body by a translation and a rotation about an axis . A B ' A B For to bring AB to A'B ' it is only necessary to translate . the body till a point A reaches its new position A ' , and then to rotate the body about A ' . Thus ...
... given to a body by a translation and a rotation about an axis . A B ' A B For to bring AB to A'B ' it is only necessary to translate . the body till a point A reaches its new position A ' , and then to rotate the body about A ' . Thus ...
Page 15
... given by a rotation round one point ; if instead of a plane we consider a sphere in the body with the fixed point as centre . The points , then , represent straight lines through the centre ; the straight lines in the figure become arcs ...
... given by a rotation round one point ; if instead of a plane we consider a sphere in the body with the fixed point as centre . The points , then , represent straight lines through the centre ; the straight lines in the figure become arcs ...
Page 17
... given by = sin ROC Ω sin ( a- ROC ) W Hence the motion is the same as if an imaginary right circular cone in the top , whose axis was the axis of the top , and whose semivertical angle was ROC , were to roll on the P. G. 2 cone in space ...
... given by = sin ROC Ω sin ( a- ROC ) W Hence the motion is the same as if an imaginary right circular cone in the top , whose axis was the axis of the top , and whose semivertical angle was ROC , were to roll on the P. G. 2 cone in space ...
Page 18
... given angular velocity , find the angular velocity of the other . 4. A heavy cylindrical crushing stone rolls on a hori- zontal table round a vertical axis . Represent its motion ( 1 ) as two rotations , ( 2 ) as a single rotation . 5 ...
... given angular velocity , find the angular velocity of the other . 4. A heavy cylindrical crushing stone rolls on a hori- zontal table round a vertical axis . Represent its motion ( 1 ) as two rotations , ( 2 ) as a single rotation . 5 ...
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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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