A particle of mass m is attached to three identical springs A, B and C each of force constant k as shown in figure. If the particle of mass m is pushed slightly against the spring A and released, the time period of oscillation is:

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Solution

The correct option is B
$F = - [k x + k (x c o s 45) c o s 45 + k (x c o s 45) c o s 45]$
$m a = - 2 k x$
$T = 2 π \sqrt{\frac{x}{a}}$
$∴ T = 2 π \sqrt{\frac{m}{2 k}}$

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