Can someone please help this is due at 9
1 answer:
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Answer:
displacement x = - 0.046sin4t +0.006cos4t
Step-by-step explanation:
The model of the equation of motion is a forced motion equation and to determine the displacement of the weight as a function of time; we have:
the weight balances of the elastic force in the spring to be expressed by the relation:
mg = kx
where;
x=4 in (i.e 1/3 ft )
mass m = 6lb
let make k the subject; then:
k = mg/x = 6×32/(1/3) = 576
assuming x to be the displacement form equilibrium;
Then;
(since F(t)=27sin 4t-3cos4t somehow faces downwards, mg=downwards and k(x+1/3)= upwards and medium resistance 3v = upwards)
SO;
Assuming :
replacing these values in the above equation
equating sin and cos terms
a = - 0.046 ; b = 0.006
displacement x = - 0.046sin4t +0.006cos4t