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Q.

A particle of mass m is attached to three springs A, B and C of equal force constant k [Fig. (8)]. If the particle is pushed towards any one of the springs, then the time period of its oscillation will be

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a

2π(m/k)

b

2π2mk

c

2π(m/2k)

d

2πm/3k

answer is C.

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Detailed Solution

Let the mass m is pushed down by a distance x. The total force will beF=kx+kxcos⁡60∘+kxcos⁡60∘=2kx md2xdt2=2kx  or  d2xdt2=2kmx T=2πm2k
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