The aluminum column is fixed at the bottom and free at the top. Determine the maximum force \(P\) that can be applied at \(A\) without causing it to buckle or yield. Use a factor of safety of 3 with respect to buckling and yielding. Take \(E_{\mathrm{al}}=70\) \(\mathrm{GPa}, \sigma_{Y}=95 \mathrm{MPa}\).

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P -5 mm 5 m 10 mm- 80 mm 80 mm 150 mm 10 mm