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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.
1236639_ffce8e4b32bc41aeaccf690fbfbfedd3.png

Solution
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Fnet=FA+FBcos450+FCcos450
=ky+2kycos450=ky+2k(ycos450)cos450=2ky
Fnet=kyky=2kyk=2k
T=2πmk=2πm2k
we get, period of oscillation is 2πm2k.

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