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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Solution
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Fnet=FA+FBcos450+FCcos450
=ky+2ky′cos450=ky+2k(ycos450)cos450=2ky
Fnet=k′y⇒k′y=2ky⇒k′=2k
T=2π√mk′=2π√m2k
we get, period of oscillation is 2π√m2k.
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