- Consider The Spring Mass Damper System Shown K Ww M 4 Xx 200 K 1000 N M M 20 Kg Damping Ratio S 0 05 26 Whe 1 (62.93 KiB) Viewed 40 times
Consider the spring-mass-damper system shown. k WW - m 4 XX 200 k = 1000 N/m, m = 20 kg, damping ratio š = 0.05 + 26 where XX =last two digits of your student ID. The system undergoes free vibrations with initial conditions: Xo = 0.1 m, x, = 4 m/s. Write a MATLAB program to calculate x(t), i(t) and E(t) for 0 < t < 10 sec. (Hint: Take simulation step size as 0.01 sec or smaller.) a) Plot time history of x(t), i(t) and E(t) for 0 <t< 10 sec. b) Determine how much time it takes for 98% of the initial energy of the system to be dissipated. Find your result within 0.01 sec accuracy.