A Problem In Dynamics Poem Rhyme Scheme and Analysis
Rhyme Scheme: AABC DDEFGGHIJJ IIEEKKLKAA EEFFEEJJEEMJNAJJOOPP QQ BBGGJJRREEGGOOEESS| An inextensible heavy chain | A |
| Lies on a smooth horizontal plane | A |
| An impulsive force is applied at A | B |
| Required the initial motion of K | C |
| - | |
| Let ds be the infinitesimal link | D |
| Of which for the present we ve only to think | D |
| Let T be the tension and T dT | E |
| The same for the end that is nearest to B | F |
| Let a be put by a common convention | G |
| For the angle at M twixt OX and the tension | G |
| Let Vt and Vn be ds s velocities | H |
| Of which Vt along and Vn across it is | I |
| Then Vn Vt the tangent will equal | J |
| Of the angle of starting worked out in the sequel | J |
| - | |
| In working the problem the first thing of course is | I |
| To equate the impressed and effectual forces | I |
| K is tugged by two tensions whose difference dT | E |
| Must equal the element's mass into Vt | E |
| Vn must be due to the force perpendicular | K |
| To ds s direction which shows the particular | K |
| Advantage of using da to serve at your | L |
| Pleasure to estimate ds s curvature | K |
| For Vn into mass of a unit of chain | A |
| Must equal the curvature into the strain | A |
| - | |
| Thus managing cause and effect to discriminate | E |
| The student must fruitlessly try to eliminate | E |
| And painfully learn that in order to do it he | F |
| Must find the Equation of Continuity | F |
| The reason is this that the tough little element | E |
| Which the force of impulsion to beat to a jelly meant | E |
| Was endowed with a property incomprehensible | J |
| And was given in the language of Shop inexten sible | J |
| It therefore with such pertinacity odd defied | E |
| The force which the length of the chain should have modified | E |
| That its stubborn example may possibly yet recall | M |
| These overgrown rhymes to their prosody metrical | J |
| The condition is got by resolving again | N |
| According to axes assumed in the plane | A |
| If then you reduce to the tangent and normal | J |
| You will find the equation more neat tho less formal | J |
| The condition thus found after these preparations | O |
| When duly combined with the former equations | O |
| Will give you another in which differentials | P |
| When the chain forms a circle become in essentials | P |
| No harder than those that we easily solve | Q |
| In the time a T totum would take to revolve | Q |
| - | |
| Now joyfully leaving ds to itself a | B |
| Ttend to the values of T and of a | B |
| The chain undergoes a distorting convulsion | G |
| Produced first at A by the force of impulsion | G |
| In magnitude R in direction tangential | J |
| Equating this R to the form exponential | J |
| Obtained for the tension when a is zero | R |
| It will measure the tug such a tug as the hero | R |
| Plume waving experienced tied to the chariot | E |
| But when dragged by the heels his grim head could not carry aught | E |
| So give a its due at the end of the chain | G |
| And the tension ought there to be zero again | G |
| From these two conditions we get three equations | O |
| Which serve to determine the proper relations | O |
| Between the first impulse and each coefficient | E |
| In the form for the tension and this is sufficient | E |
| To work out the problem and then if you choose | S |
| You may turn it and twist it the Dons to amuse | S |
James Clerk Maxwell
(1)
Poem topics: , Print This Poem , Rhyme Scheme
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