Question

12.2 please and if u could write out step by step what ur doing ehat everything means that would be great ive seen 3 different answers on here and im so confused and really need help.

de of oscillation of a sorses this time dans ring-mass system 12.2. At what time has the amplitude of oscillation of a spring-masss negligible friction decayed to 1/e of its original value? Does this tim in a reasonable way on k, m, and c?

m is mass c is the friction coefficient k is spring constant

Answer 1

we know that A - A e tamo where At= Amplitude after timet A = initial amplitude As given in question from eq At - e- ct/2m – ③ from og ♡ & eq I = e-ct/am se 1 = e-ct/2m comparing both sidel ct = 1 am t = 2m t = 2m, Amplitude so at time value. decades to I cof its original

As Time depends only upon m,c there is no role of k in determining the Amplitude (A_t) after t times.

2m