One end of a massless spring of spring constant k and natural length l 0  is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity ω  about an axis passing through fixed end, then the elongation of the spring will be

Option 1 -

k m ω 2 l 0 m ω 2

Option 2 -

m ω 2 l 0 k + k ω 2

Option 3 -

m ω 0 l 0 k m ω 2

Option 4 -

k + m ω 2 l 0 m ω 2

0 2 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    2 months ago
    Correct Option - 3


    Detailed Solution:

    F.B.D, with respect to Non-Inertial frame

    k x = m ω 2 ( l 0 + x )

    x | k m ω 2 ( l 0 + x )

    x = m ω 2 l 0 k m ω 2

            

                   

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