A treatise on gyrostatics and rotational motion . All this is connected with a subject of very great interest, the equilibriumof spinning masses of liquid. It is of much importance in its bearing onthe genesis of the earth and moon: but for further information the readeris referred to Thomson and Taits Natural Philosophy^ and to memoirs by loincare and Sirdeoiire Darwin. 18. Gyrostatic experiments: gyrostat supported above universal flexunjoint. Double instability stabilised. Some of the usual gyrostatic experi-ments have already been described in 4 ... 7 above. We shall now describea few othe
A treatise on gyrostatics and rotational motion . All this is connected with a subject of very great interest, the equilibriumof spinning masses of liquid. It is of much importance in its bearing onthe genesis of the earth and moon: but for further information the readeris referred to Thomson and Taits Natural Philosophy^ and to memoirs by loincare and Sirdeoiire Darwin. 18. Gyrostatic experiments: gyrostat supported above universal flexunjoint. Double instability stabilised. Some of the usual gyrostatic experi-ments have already been described in 4 ... 7 above. We shall now describea few others of a somewhat more complicated kind, and indicate somespeculations which have been put forward, principally by Lord Kelvin, as [NTRODUCTORY 1!>. Motor-gyrostat on gimbals. to the explanation of certain physical properties of matter by gyrostaticst ructure. A instructive gyrostatic experiment is thai with a gyrostai sup-ported ii a universal gimbal joint as shown in tin- < This drawing-hows one gimbal axis clearly: theother axis is ai righi angles to this andis partly hidden by the upper ringto which the knife-edges are seenattached. The gyrostai thus mountedTonus an inverted pendulum, whichhas two freedoms of motion, andwhen the wheel is without spin isunstable in both. With sufficientspin the gyrostat is stable in bothfreedoms. This is an example of a doublyunstable arrangement rendered stableby spin.* In Thomson and TaitsNatural Philosophy the interestingtheorem is proved (at least it isimplied in the discussion in §345yiiiet seq.) that in a gyrostatic system an even number, but not an odd number, of freedoms can be stabilisedby rotation of flywheels [see also XX below]. Of this we have here aparticular
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