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Q.

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.

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a

12 π k4 M

b

12 π 4 kM

c

12 π k7 M

d

12 π 7 kM

answer is B.

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Detailed Solution

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

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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.