Question

Vibrations For problems 8-11 any solutions containing both a sine and a cosine must be combined into a single cosine. Any decimal work should be to at least the 4th decimal place.

Answer 1

mass m= 2 kg. springo stretch s = 40cm = 4x 101m = 0.4m. Force exerted Fatsa velocity U = 75 cm/sec. =0.75 mirea Fa cu » cap = 15 - 20 w-a/m. 0.4 wow K= 24.981 = 49.05 N/m. .:wn = 149,05 - N24.525 = 4.95 rad /sec. Fram wn - x4,95 = -wnt so it is critically damped system. Displacement x = xo [it wnt] e unt [50 inches = 1.27 I inch = 2.54cm] : x= 127[174.95t]é4.95€ Thus, it is a viscous camping. at tro x = 1. 27 m