Lessons on Rigid Dynamics |
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Page 1
... angles . For rotation there must be an extended system . A point in motion may be said to be revolving about any point whatever situated in the line through it at right angles to its direc- tion of motion , for it is moving at the ...
... angles . For rotation there must be an extended system . A point in motion may be said to be revolving about any point whatever situated in the line through it at right angles to its direc- tion of motion , for it is moving at the ...
Page 4
... right angles to the plane of the paper . In this case the line of particles AB has taken up the position A'B . Now ... right angles to AB , and the proposition becomes that two equal and opposite angular velocities about two parallel ...
... right angles to the plane of the paper . In this case the line of particles AB has taken up the position A'B . Now ... right angles to AB , and the proposition becomes that two equal and opposite angular velocities about two parallel ...
Page 5
... right angles to AB , and with velocity proportional to it . 6. From the definition of rotation it is clear that two equal and opposite rotations cannot produce a rotation ; for they turn a straight line in the body through equal but ...
... right angles to AB , and with velocity proportional to it . 6. From the definition of rotation it is clear that two equal and opposite rotations cannot produce a rotation ; for they turn a straight line in the body through equal but ...
Page 6
George Pirie. velocities of P will be at right angles to PA and PB , and proportional to PA . PB and PB . PC respectively , i . e . to PA R and PC . Hence , joining AC and bisecting it in N , the result- ant velocity of Pis at right ...
George Pirie. velocities of P will be at right angles to PA and PB , and proportional to PA . PB and PB . PC respectively , i . e . to PA R and PC . Hence , joining AC and bisecting it in N , the result- ant velocity of Pis at right ...
Page 9
... right angles to the direction of motion of C. To get another line on which it lies , consider the motions of points very near to N. These are moving away from or towards O. Hence N must be the instantaneous centre . That the body is at ...
... right angles to the direction of motion of C. To get another line on which it lies , consider the motions of points very near to N. These are moving away from or towards O. Hence N must be the instantaneous centre . That the body is at ...
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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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