Q.

A body of mass m hangs from three springs, each of spring constant ,k as shown in fig. (11). If the mass is slightly displaced and let go, the system will oscillate with the time period

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a

2πm3k

b

2π3m2k

c

2π2m3k

d

π3mm

answer is B.

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Detailed Solution

Equivalent force constant of two springs connected in parallel is 2 k . The other spring is now in series and hence ' the resultant force constant =k×2kk+2k=2k23k=2k3 T=2πm(2k/3)=2π3m2k
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