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

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

  1. A

    12πk4M

  2. B

    12π4kM

  3. C

    12πk7M

  4. D

    12π7kM

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    Solution:

    keff=2kS2kPkP2k=kP3k=4k

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