Mathematics, 29.02.2020 03:44 alondrasanchezvillan
An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled down and then released, it vibrates vertically. The equation of motion, s, where s is measured in centimeters and t≥0 in seconds, is given below. (Take the positive direction to be downward.)s = 8 cos (t) + 4 sin (t)I found velocity and accelerationv(t)= -8sin(t) +4cos(t)a(t)= -8cos(t) - 4sin(t)MY problem comes in the question c(c) When does the mass pass through the equilibrium position for the first time?I tired 8 cost + 4 sint =0 getting tan inverse of -8/4. then π+tan inverse of -8/4 which lead me to the answer 1.82?My second problem comes with question dd) How far from its equilibrium position does the mass travel?I don't know how to go about this part of the problem? do I use the the velocity equation set it =0 and then add π?
Answers: 3
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An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is...
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