Answer:
Step-by-step explanation:
A force of 5 pounds stretches a spring 1 foot.
This implies that, the string constant (K) = 5 lbs? ft
Mass (m) =
=
The damping force
The negativity of the damping force is due to the fact that it opposes the motion.
Then the force due to the spring is :
where;
x = the mass distance from the equilibrium point.
Total Force F =
⇒ F = -1.2v - 5.0 x
⇒ mx = -1.2v - 5.0 x
where v = x' and a = x"
Hence, the equation becomes mx" = -1.2x' - 5.0 x
⇒ = 0
⇒
The auxiliary equation is can be written as:
⇒ r =
r =
r = OR
Now,the general equation of motion is :
Initial Conditions are:
x(0) = -1 and x' (0) = 0
x(0) = -1
⇒ -1 =
x' (0) =0 ⇒ 0 = -3(-1) + (4)
⇒ =
Thus:
Answer:
240000...............................
what do u need help w lol