Problems deal with a nuiss−spring−dashpot system having position function x(t) satisfying...

Problems deal with a nuiss−spring−dashpot system having position function x(t) satisfying Eq. (4). We write x0 = x(0) and v0 = x′(0) and recall that p = c/(2m), ω02 = k/m, and ω12 = ω02 − p2. The system is criticallydamped, overdamped, or underdamped, as specified in each problem.

(Underdamped) Show that the local maxima and minima of

occur where

Conclude that t2 – t1 = 2π/ω1 if two consecutive maxima occur at times t1 and t2.