# Mathematical Modelling

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A long, thin rod is clamped at its lower end and a mass M is attached to its upper end. The coordinates (x,y) of any point on it satisfy the equation.

where E, I and a are constants. Given that x = 0 when y = 0 and x = a when y = L show that

where

Hint (z = a - x)

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A long, thin rod is clamped at its lower end and a mass M is attached to its upper end. The coordinates (x,y) of any point on it satisfy the equation.

where E, I and a are constants. ...

#### Solution Summary

A relation is proven. The solution is detailed and well-presented. The points to satisfy the equations are given.

$2.19