Energy in Simple Harmonic Motion Video Lessons

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# Problem: Suppose the damping constant b of an oscillator increases.  a. Is the medium more resistive or less resistive?b. Do the oscillations damp out more quickly or less quickly? c. Is the time constant, τ increased, or decreased?

###### FREE Expert Solution

Damping force:

$\overline{){{\mathbf{F}}}_{{\mathbf{D}}}{\mathbf{=}}{\mathbf{-}}{\mathbf{b}}{\mathbf{v}}}$

Where b is the damping constant and v is the velocity.

(a)

Damping force is directly proportional to the damping constant. Increasing the damping constant will increase the damping force.

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###### Problem Details

Suppose the damping constant b of an oscillator increases.

a. Is the medium more resistive or less resistive?

b. Do the oscillations damp out more quickly or less quickly?

c. Is the time constant, τ increased, or decreased?