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Q.

In the figure all springs are identical having spring constant k and mass m each. The block also has mass m. The frequency of oscillation of the block is

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a

12π3km

b

12π3k2m

c

2π3m3k

d

none of these

answer is B.

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Detailed Solution

If spring has the mass then:f = 12πkm+Mspring3Spring equivalent = 3k (As all are in parallel)f = 12π3km+(3m)3   ⇒ f= 12π3k2m
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In the figure all springs are identical having spring constant k and mass m each. The block also has mass m. The frequency of oscillation of the block is