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Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

Assuming: the problem is static ($\rightarrow$ no velocity gradient, so no shear, only the spheric part remains non-zero), the density is homogeneous ($\rightarrow$ $\rho$ is a constant), the cross- …
answered Aug 15 '14 by anderstood
You have $$m\ddot x+\gamma \dot x + k x= F(t)$$ Calculate the variation of energy between time $a$ and time $b$: $$\int_a^b (m\ddot x+\gamma \dot x + kx)\dot x\, \text{d}t=\int_a^b F(t)\dot x\text{d}t … answered Oct 21 '15 by anderstood 1answer Consider a mechanical system, the Lagrangian of which is:$$-L(u,\dot u)=\int\left(\dfrac{\partial^2 u}{\partial x^2}\right)^2\mathrm{d}x This would correspond to a system in torsion, for example. …
asked Mar 10 '15 by anderstood