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(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) C

The 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

f

in Herte? What is the angular frequency

u

in rad ans

/

second?

f=

?

Hert:

\omega =

?

radan/ /recond (d) Determine the amplitude

A

and the phase angle 7 (in radanal and express the diyplacement in the form

y(t)=Acos(-t-7)

, with

y

in 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



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