Question

11) differential equation problem.

a spring is stretched 6 in by a mass that weighs 8 lb. the mass is attached to a dashpot mechanism that has a damping constant of 0.25 lb.s/ft and is acted on by an external force of 4 cos 2t lb.

Answer 1

what do you need to find ? Work ?

Answer 2

oh I'm sorry

Answer 3

np

Answer 4

determine the steady state response o this system

Answer 5

to*

Answer 6

rusty on diff eq .... sorry

Answer 7

see if this helps http://www.facstaff.bucknell.edu/mastascu/econtrolhtml/SysDyn/SysDyn2.html

Answer 8

Write the expression for U(t) in terms of m (do not substitute m=8 lb).

Find the amplitude A(m), to be half the difference between the minimal and maximal values of U(t). The minima and maxima can be found from dU(t)/dt = 0.

Maximize the amplitude by setting dA(m)/dm = 0.

Answer 9

U(t) = (8/901)(30cos(2t)+sin(2t)) ft

Answer 10

so whats mass