A trolley of mass m is connected to two identical springs, each of force constant k, as shown in fig. The trolly is displaced from its equilibrium position by a distance x and released. The trolly executes simple harmonic motion of period T. After some time it comes to rest due to friction. The total energy dissipated as heat is (assume$$ the damping force to be $$weak)

Question

Infinity Learn · Accepted Answer

Two springs are connected in parallel equivalent spring constant is – $$2K$$.Total energy  $$122Kx2=kx2The$$ final energy of the system $$=$$ $$0$$ Hence the total energy dissipated is $$=$$ $$kx2$$

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