Question

Does b

change as mass changes? I've experimented with a mass-spring system damped in water and recorded it using video tracking software. Using the Logger Pro's Damped Harmonic Model Fit I get values for −B
, which result in distinctly different values of b
when multiplying by 2m

A) Yes, the damping coefficient changes proportionally with mass changes.
B) No, the damping coefficient remains constant regardless of mass changes.
C) The damping coefficient changes, but not necessarily proportionally with mass changes.
D) The damping coefficient relationship with mass changes unpredictably in this scenario.

Answer 1

Yes, the damping coefficient in a mass-spring system changes as the mass changes, but not necessarily proportionally.

Step-by-step explanation:

The damping coefficient in a mass-spring system does change as the mass changes, but not necessarily proportionally. The damping coefficient, represented as b, depends on the properties of the system and the surrounding medium, such as the viscosity of the fluid in which the system is immersed. When the mass is doubled, the value of −B in a Damped Harmonic Model Fit will also be multiplied by 2, resulting in a different value for b.