Two identical springs of spring constant $2k$ are attached to a block of mass $m$ and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this system is :

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Two identical springs of spring constant 2k are attached to a block of mass m and to fixed support (see figure). When

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Correct answer: A. π (m)/(k)

For parallel combination k _ eq = k _ 1 + k _ 2 k _ eq = 4k T = 2π m k _ eq ⇒ T = 2π (m)/(4k) ⇒ T = π (m)/(k)

Two identical springs of spring constant 2k are attached to a block...

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