Question

The mass-spring constant is k = 10 g/sec2 and the damping coefficient is u= 20 g/sec.

a. Now the mass is pulled down 5 cm from rest and given an upward velocity of 10 cm/sec. Determine the IVP describing the motion of the mass.

b. Solve the resulting DE from part a.

c. Sketch the graph of the motion.

d. Find the maximum displacement of the mass once it passes through the equilibrium.

Answer 1

e Mass мм ass, is n. then equation of mati beomeg → Spin So 1W

So dt S.lu-hon has -fsm Aewt Let tha orM

2 to Posta Mas Wh

-this CU)e 2 GYC

3 2 ing t

DIE 20 ワ。

了ven VCA G) W% 100 -10 50486 9.5

2 0 2 4 direehi» Ve locu Gi)

doni) -() A0.536 5-0536 4.461 A.) 2 -(4.5t 0.5t 4.464e χ(t) = 0.5t hb) CM っ0