 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ib/paper-2/13c/b/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Evaluating the function at the endpoint gives the displacement

Δ = y (L) = - \frac{ρ g L ^{4}}{8 A} + \frac{F L ^{3}}{3 A} .

Therefore

h_{0} = - \frac{ρ g L ^{4}}{8 A}, h = \frac{F L ^{3}}{3 A}, Δ = h_{0} + h .

h

F

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