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The amplitude of oscillation is 

  • Option 1)

    Infinte

  • Option 2)

    zero

  • Option 3)

    can never be infinte

  • Option 4)

    +ve but small

 

Answers (1)

best_answer

A = \frac{\frac{F_{0}}{m}}{\sqrt{(\omega^{2}- \omega_{0}^{2}) + (\frac{b\omega}{m})^{2}}}

In absence of damping force  b = 0, that the steady state aplitude approches infinity

\omega \rightarrow \omega_{o}

 

Resultant equation in damped motion -

x=A_{0}.e^{-\frac{bt}{2m}}.\sin \left ( \omega' t+\delta \right )
 

- wherein

\omega'= \sqrt{\frac{K}{m}-\left ( \frac{b}{2m} \right )^{2}}

= \sqrt{\omega {_{0}}^{2}-\left ( \frac{b}{2m} \right )^{2}}

 

 

 


Option 1)

Infinte

This is incorrect.

Option 2)

zero

This is incorrect.

Option 3)

can never be infinte

This is correct.

Option 4)

+ve but small

This is incorrect.

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Plabita

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