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2 cards from this section. Quick, good the night before a test.
What is the purpose of the inertial force in a mass-spring system?
Think about Newton's second law.
What kind of equation describes the motion of a free vibrating system?
Can you remember the standard form for these equations?
What is the relationship between mass and inertial force?
Recall F=ma from Newton's second law.
True or False: The characteristic equation can help determine a system's natural frequency.
Think about why frequencies are important in vibrational analysis.
Consider a mass-spring system with m1 = 2 kg, m2 = 3 kg, and spring constants k1 = 100 N/m and k2 = 200 N/m. Derive the equations of motion and identify the natural frequencies.
Utilize the characteristic equation for finding frequencies.
Explore how the system reacts when applied forces are changed. How would you expect the behavior to differ with increased stiffness?
Visualize the difference in a stiffer vs. looser spring.
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