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Transcribed Image Text: 4. If a lion lies stretched out over the entire length of the branch in question 3, exerting a constant force of

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Transcribed Image Text: 4. If a lion lies stretched out over the entire length of the branch in question 3, exerting a constant
force of F = 500 N / m over the entire length of the 1.5 m branch. It is given that I = 1 × 10-0 m*
and E = 2× 10° Nm¯². The boundary conditions are
y(0) = 0, y'(0) = 0 , y'”(0) = M and y”(0) = -2M. Use your notes to model the fourth order
differential equation suited to this application. Present you differential equation with y”” subject of
the equation. Use direct integration and solve this equation in terms of M. Determine the deflection
(in terms of M) at x = 1.5 m. Do not use Matlab as its solution will not be identifiable in the solution
entry.
You must indicate in your solution:
1. The simplified differential equation in terms of the deflection y you will be solving
2. All the steps associated with direct integration
3. The substitution process required for determining constants of integration
4. Express the solution y and determine the deflection at x = 1.5 m

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