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# A particle of mass ′m′ is attached to three identical springs A,B and C each of force constant ′k′ as shown in figure. If the particle of mass ′m′ is pushed sightly against the spring ′A′ and released. Find the period of oscillation.

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#### Fnet=FA+FBcos450+FCcos450=ky+2ky′cos450=ky+2k(ycos450)cos450=2kyFnet=k′y⇒k′y=2ky⇒k′=2kT=2π√mk′=2π√m2kwe get, period of oscillation is 2π√m2k.

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