The bunchberry flower has the fastest-moving parts ever observed in a plant. Ini

Question

The bunchberry flower has the fastest-moving parts ever observed in a plant. Initially. the stamens are held by the petals in a bent position. storing elastic energy like a coiled spring. When the petals release. the tips of the stamen act like medieval catapults. flipping through a 60degree angle in just 0.29 ms to launch pollen from anther sacs at their ends. The human eye just sees a burst of pollen: only high-speed photography reveals the details. As in the following figure shows. we can model the stamen tip as a 1.0-mm-long. 12 mug rigid rod with a 12 mug anther sac at the end. Although oversimplifying. we'll assume a constant angular acceleration. (Figure 1) How large is the "straightening torque"? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Characteristic polynomial: x^2 - 6x + 8 Real eigenvalues: {2, 4} Eigenvector of eigenvalue 2: (1, 3) Eigenvector of eigenvalue 4: (1, 1)

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