# Back to the Classics!

The above system comprises of three ideal springs, and two thick rods (they don't look like a rod!).The Temperature of the above system is increased by $$\displaystyle\Delta T$$. The coefficient of linear expansion of the material of the rods is $$\displaystyle \alpha$$.

Calculate the energy stored in the spring with spring constant $$\displaystyle 2K$$.

Details and Assumptions:
$$\bullet$$ The springs are initially relaxed.
$$\bullet$$ The rods expand only in the horizontal direction.
$$\bullet$$ Neglect the expansion of the springs due to the increase in temperature
$$\bullet$$ $$\displaystyle L = 1m$$
$$\bullet$$ $$\displaystyle K = 200 N/m$$
$$\bullet$$ $$\displaystyle \alpha = 2\times 10^{-5} K^{-1}$$
$$\bullet$$ $$\displaystyle \Delta T = 20^o C$$

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