Caculate both parts.  a) (m,c,k,Xo,Vo)= ( 2,15,40,-1,8) b) (m,c,k,Xo,Vo)= (3,5,40,1,0)

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Caculate both parts. 

a) (m,c,k,Xo,Vo)= ( 2,15,40,-1,8)

b) (m,c,k,Xo,Vo)= (3,5,40,1,0)

A mass m is attached to both a spring (with given spring constant k) and a
dashpot (with given damping constant c). The mass is set in motion with initial
position xo and initial velocity vo. Find the position function x(t) and write it
in the form
x(t) = Ce-pt cos(wt – a),
where 0 < a < 2n. Match each of the following to the value of a to two decimal
places.
Transcribed Image Text:A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given damping constant c). The mass is set in motion with initial position xo and initial velocity vo. Find the position function x(t) and write it in the form x(t) = Ce-pt cos(wt – a), where 0 < a < 2n. Match each of the following to the value of a to two decimal places.
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