Solving a Damped Movement w/ Mass Spring System: Find K, Acceleration

[alnpoke]

Homework Statement

damping coeficient

Relevant Equations

x=Ae^(-(b/2m)t) cos⁡〖ω^' 〗 t⁡

hello everyone could you help me with this exercise please muffled movement

The mass spring system shown is at rest, to which an external element tensions it 1.9 (cm) (positive section of our study) and releases it, it begins to oscillate describing a damped movement. Considering that k = 180 (lb / ft), and that the mass has a value of 2.9 (kg), determine the damping coefficient if the ratio of variation between natural and damped oscillation is 7% and find the acceleration of the body after 3.3 (s) after starting the movement

 

[haruspex]

Homework Statement:: damping coeficient
Relevant Equations:: x=Ae^(-(b/2m)t) cos⁡〖ω^' 〗 t⁡

hello everyone could you help me with this exercise please muffled movement

The mass spring system shown is at rest, to which an external element tensions it 1.9 (cm) (positive section of our study) and releases it, it begins to oscillate describing a damped movement. Considering that k = 180 (lb / ft), and that the mass has a value of 2.9 (kg), determine the damping coefficient if the ratio of variation between natural and damped oscillation is 7% and find the acceleration of the body after 3.3 (s) after starting the movement

View attachment 264544View attachment 264545

Per forum rules you must show an attempt. You should also be able to state some standard equation for damped harmonic motion.