I was given a spring in a 10 times dapmening with a 1 kg mass and a constand of 16N/m.
I have come out with the equation that x(t) = C_1 (e^-8t) + C_2 (e^-2t)
then it ask: intaially the spring starts out at 1 meter below equilbrium
so i put that x(0) = 1
then i try to find the constants and i come out with 1 = c_1+C_2 which gets me no where. What am i missing ?
yes, you are correct, sorry the book only calls it beta...
yes, but the book's answer is two parted and with the derviatve i still get no where when i sub x(0) = 0 in
the answer is x(T)= 4/3e^-2t - 1/3e^-8t for the distance
and -2/3e^-2t + 5/3 e^-8t for the velocity.
Well that is how it goes, i honestly didnt pay attention in high school. When you get to cal and need a refresher it is hard to go back to lower level classes ; like when i got to college and want to take pre cal and cal, my tutition wasnt going to be covered by fincial aid, so i work with what i have