Hi, I am given a node voltage problem to find V1, V2, and V3 from this image below.
http://puu.sh/77Sg3.png
(v1+15)/20 + (v1-v2)/25 + (v3-v2)/50 + (v3 - 10)/10 = 0
18V1 - 12V2 + 24V3 = 50
V2: (v2-v1)/25 + v2/40 + (v2-v3)/50 = 0
17V2 - 8V1 - 4V3 = 0
15 = V3 - V1
Am I in...
Homework Statement
http://puu.sh/6PZNJ.png
Homework Equations
This is supposed to be a pretty easy problem, but can i assume the resistors are in series? The other loops are throwing me off.
The Attempt at a Solution
xy'=yln(xy)
xdy=yln(xy)dx
\frac{dy}{y}=\frac{ln(xy)dx}{x}
Substitution:
v=ln(xy)
dv = \frac{dy}{y}-\frac{dx}{x}
dv-\frac{dx}{x}=\frac{vdx}{x}
∫\frac{dv}{v+1}=∫\frac{dx}{x}
ln(v+1)=ln x + C
v+1 = Cx
ln(xy) +1 = Cx
Would that basically be the complete answer?
Homework Statement
A uniform door(.81m wide and 2.1m high) weighs 140N and is hung on two hinges that fasten the long left side of the door to a vertical wall. The hinges are 2.1m apart. Assume that the lower hinge bears all the weight of the door. Find the magnitude and direction of the...