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May 2003
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James Maxwell often took delight in writing poems,
especially on the
topics of science. The following poem was written towards the end of his
undergraduate days in Cambridge (dated 19th February 1854).
A Problem in Dynamics
An inextensible heavy chain
Lies on a smooth horizontal plane,
An impulsive force is applied at A,
Required the initial motion of K.
Let ds be the infinitesimal link,
Of which for the present we've only to think;
Let T be the tension, and T+dT
The same for the end that is nearest to B.
Let a be put, by a common convention,
For the angle at M 'twixt OX and the tension;
Let Vt and Vn be ds 's velocities,
Of which Vt along and Vn across it is;
Then Vn/Vt the tangent will equal,
Of the angle of starting worked out in the sequel.
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