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Four massless springs whose force constants are 2k, 2k, k and 2 k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of the system.

a
12 π k4 M
b
12 π 4 kM
c
12 π k7 M
d
12 π 7 kM

detailed solution

Correct option is B

Effective K = 1ks=12k+12k          ks=kkp=k+2k=3k3k and k are parallelkeff=4kn=12π4km

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Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the-combination is given by:


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