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The Quarterly Journal of Mechanics and Applied Mathematics 1958 11(2):196-207; doi:10.1093/qjmam/11.2.196
© 1958 by Oxford University Press
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THEORY OF THE SPINNING BALLOON

C. MACK

( Shirley Institute Manchester )

Differential equations of motion are obtained for a flexible uniform string rotating with a constant large angular velocity about a fixed axis when the string has a constant velocity along its length and air drag per unit length is proportional to a fixed power of the normal component of air velocity and acts in the direction of this component. For steady state curves the equations are solved, a formal solution being obtained for the case of zero air-drag, and an expansion for finite air-drag.


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