MTH 256 Lecture Notes - Lecture 18: Tecos F.C., Angular Frequency, Damping Ratio

• School: Oregon State University
• Department: Mathematics
• Course: MTH 256
• Professor: T. Hatase

Document Summary

Suppose that a mass weighing 10 lb stretches a spring 2 in. If the mass is displaced an additional 2 in and is then set in motion with an initial upward velocity of 1 ft/s, determine the position of the mass at any later time. I cos ( 853t ) tgtgsin ( 853t ) Looks like a sinusoidal function with a different phase. Suppose that the motion of a certain spring-mass system satis es the. Iot ft y00 + y0 + 1. 25y = 3 cos(t) y(0) = 2 y0(0) = 3. Find the solution to this initial value problem. characteristic equation. 14 sink t getts cost t cze-tkgg. net ) We don"t know them yet with the given initial condition. Yf!yt part , not just homogeneous y if cost t sink e- t 2 . Suppose a 1 kg mass hangs from an undamped (c = 0) of spring constant k = 900 n/m.