The angular frequency of small oscillations of the system shown in the figure is

 

  • Option 1)

    √(K / 2m)

  • Option 2)

    √(2K / m)

  • Option 3)

    √(K / 4m)

  • Option 4)

    √(4K / m)

 

Answers (1)

 

 

k_{\xi }=k\left | \frac{T_{b}}{T_{s}} \right |^{2}

k_{\xi }=k(\frac{T}{2T})^{2}

k_{\xi }=\frac{K}{4}

T=2\pi \sqrt{\frac{4m}{k}}

w=\frac{2\pi }{T}

=\sqrt{\frac{k}{4m}}


Option 1)

√(K / 2m)

Option is incorrect

Option 2)

√(2K / m)

Option is incorrect

Option 3)

√(K / 4m)

Option is correct

Option 4)

√(4K / m)

Option is incorrect

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