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Questions  

 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

a
2π(m/k)
b
2π2mk
c
2π(m/2k)
d
2πm/3k

detailed solution

Correct option is C

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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