Page 1 of 1
Consider the initial value problem my" + cy' + ky = F(t), y(0)= 0, y'(0) 0 modeling the motion of a spring-mass-dashpot
Posted: Tue Jul 12, 2022 12:08 pm
by answerhappygod
- Consider The Initial Value Problem My Cy Ky F T Y 0 0 Y 0 0 Modeling The Motion Of A Spring Mass Dashpot 1 (21.27 KiB) Viewed 29 times
Consider the initial value problem my" + cy' + ky = F(t), y(0)= 0, y'(0) 0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m = 2 kilograms, c= 8 kilograms per second, k = 80 Newtons per meter, and F(t) = 20 sin(6t) Newtons. a. Solve the initial value problem. y(t) = help (formulas) b. Determine the long-term behavior of the system. Is lim y(t)- 07 If it is, enter zero. If not, enter a function that approximates y(t) for very large positive values of t. 100 For very large positive values of t, y(t) = help (formulas)