BME Dynamics and Vibrations

Question 1

The natural frequency of a simple spring-mass system is given by:

Accepted Answer

ωn = √(k/m)

Answer

The natural frequency of a single degree-of-freedom spring-mass system is ωn = √(k/m) radians per second.

Question 2

Resonance in a vibrating system occurs when:

Accepted Answer

Excitation frequency equals natural frequency

Answer

Resonance occurs when the forcing frequency matches the system's natural frequency, causing theoretically infinite amplitude in undamped systems.

Question 3

The damping ratio ζ = 1 corresponds to which type of damping?

Accepted Answer

Critically damped

Answer

Critical damping (ζ = 1) produces the fastest return to equilibrium without oscillation, defining the boundary between underdamped and overdamped behavior.

Question 4

In Newton's second law for rotation, the torque is equal to:

Accepted Answer

Iα (moment of inertia × angular acceleration)

Answer

The rotational form of Newton's second law is ΣT = Iα, where I is the mass moment of inertia and α is angular acceleration.

Question 5

The coefficient of restitution (e) for a perfectly plastic collision equals:

Accepted Answer

0

Answer

In a perfectly plastic (inelastic) collision, the objects stick together and e = 0, meaning there is no rebound and maximum kinetic energy is lost.

BME - Bachelor of Mechanical Engineering Practice Test

BME - Bachelor of Mechanical Engineering Practice Test

BME Dynamics and Vibrations