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Two identical spring constant K are attached to a block of mass m and to fixed supports as shown in Fig. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force.

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Forces on the spring are

F1 = −kx (left spring)

F2 = −kx (right spring).

Restoring Force, F = F1 + F2 = −2kx

∴ F = −2kx towards left

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