🎴 Flashcard Mode
Differential Equations in Engineering
Card1 / 14
Mastered0
Review0
QuestionClick to flip
In a mechanical system, the equation (m\frac{d^2x}{dt^2} + kx = 0) describes the motion of a mass (m) attached to a spring with spring constant (k). What is the natural frequency of the system?
AnswerClick to flip back
A
\(\sqrt{\frac{k}{m}}\)
💡 Explanation:
The natural frequency of the system is given by (\omega_n = \sqrt{\frac{k}{m}}).