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2. (30 pts.) A very long (semi-infinite) thin rod of cross-sectional area A, cross-sectional moment of inertia I, mass density p, and Young's modulus E. At t=0 a compressive stress pulse is uniformly applied on the free end of the rod to generate stress wave traveling longitudinally with a wave velocity Co. Assume the rod only deforms elastically, estimate the minimum time required to establish the conditions under which a segment of length L (not predetermined) will want to buckle. Assume a pinned-fixed end conditions. (The parameters in bold are given)Co

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