Dynamics and Vibrations Flashcards
6 cards from real BME practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Dynamics and Vibrations flashcards as text
The natural frequency of a simple spring-mass system is given by:
Answer: ωn = √(k/m)
The natural frequency of a single degree-of-freedom spring-mass system is ωn = √(k/m) radians per second.
Resonance in a vibrating system occurs when:
Answer: Excitation frequency equals natural frequency
Resonance occurs when the forcing frequency matches the system's natural frequency, causing theoretically infinite amplitude in undamped systems.
The damping ratio ζ = 1 corresponds to which type of damping?
Answer: Critically damped
Critical damping (ζ = 1) produces the fastest return to equilibrium without oscillation, defining the boundary between underdamped and overdamped behavior.
In Newton's second law for rotation, the torque is equal to:
Answer: Iα (moment of inertia × angular acceleration)
The rotational form of Newton's second law is ΣT = Iα, where I is the mass moment of inertia and α is angular acceleration.
The coefficient of restitution (e) for a perfectly plastic collision equals:
Answer: 0
In a perfectly plastic (inelastic) collision, the objects stick together and e = 0, meaning there is no rebound and maximum kinetic energy is lost.
D'Alembert's principle transforms a dynamic problem into an equivalent:
Answer: Static equilibrium problem
D'Alembert's principle introduces an inertia force (-ma) to convert the dynamic equation F = ma into a static equilibrium form ΣF = 0.