The equation of motion for a vibrating system with viscous damping is d^2xdt^2 + cm dxdt + sm x = 0, if the roots of the equation are __________ then the system will be under damped.

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The equation of motion for a vibrating system with viscous damping is $$\frac{{{d^2}x}}{{d{t^2}}} + \frac{c}{m} \times \frac{{dx}}{{dt}} + \frac{s}{m} \times x = 0,$$ if the roots of the equation are __________ then the system will be under damped.

A) Equal B) Real C) Complex conjugate D) None of these

Answer & Solution

Correct Answer: Option C

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Question posted by Examveda

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2 Comments

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Rajan Mech 6 years ago

If the roots are real---- over damping
If the roots are imaginary or complex conjugate------ under damping
If the roots are equal ----- critical damping

Aarti Manral 6 years ago

how to c plz explain it

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The equation of motion for a vibrating system with viscous damping...

The equation of motion for a vibrating system with viscous damping is $$\frac{{{d^2}x}}{{d{t^2}}} + \frac{c}{m} \times \frac{{dx}}{{dt}} + \frac{s}{m} \times x = 0,$$ if the roots of the equation are __________ then the system will be under damped.

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