Four massless springs each of force constant K are attached to a mass m kept on a smooth plane as shown. It the mass is displaced in the horizontal direction and released , frequency of oscillation is
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a
12πk4m
b
12π4km
c
12π2k5m
d
12π5k2m
answer is D.
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Detailed Solution
According to the diagram, two springs are in series and two springs are in parallel and combination in parallel.Kp=2k and Ks=k2 and finally K=Kp+Ks=2k+k2=5k2and n=12πKm=12π5k2m