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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

a
12π3km
b
12π3k2m
c
2π3m3k
d
none of these

detailed solution

Correct option is B

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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Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the-combination is given by:


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