(Solved): A spring with a 2 -hg mas and a damping comlam 3 can be held stietched 0.5 maters berond isi naturdi ...
A spring with a 2 -hg mas and a damping comlam 3 can be held stietched 0.5 maters berond isi naturdilength by a force of 15 newtons Suppoue the spring is stretched 1 meplers beyond its natual length and then meleated wich rero welocity. in the fotation of
a=
4 =
7=
A
(7)
CThe graph thows the displacemtst from equilibriym of a mass-speing system as a fusction of time afier the the units of diplacement are centimeters. The first
t-intercept is
(0.75,0)and the fient minimum has cocrdinates
(1.75,-4). tithent is the perbodT of the periodicmotion?
T=
?seconds (b) What is the fequency
fin Herte? What is the angular frequency
uin rad ans
/second?
f=
?Hert:
\omega =
?radan/ /recond (d) Determine the amplitude
Aand the phase angle 7 (in radanal and express the diyplacement in the form
y(t)=Acos(-t-7), with
yin meters.
1(t)=
?mutirs (e) With what initial dirplacement
y(0)and initial velocity
y^(')(0)was the system set impo motion?
s(0)=
?
s(0)=?metert
y^(')(0)-?meters / second
