# Problem 1

A block $$B$$ is attached to two unstretched springs $$S_1$$ and $$S_2$$ with spring constants $$k$$ and $$4k$$, respectively (see figure I). The other ends are attached to identical supports $$M_1$$ and $$M_2$$ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance $$x$$ (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements $$x$$ and $$y$$ are measured with respect to the equilibrium position of the block $$B$$. Find the ratio $$\dfrac yx$$.

This is a problem of Energy Tranfers .

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