Recent content by stau40

Homework Statement A small object with mass 3.55 kg moves counterclockwise with constant speed 1.55 rad/s in a circle of radius 2.70 m centered at the origin. It starts at the point with position vector 2.70 m. Then it undergoes an angular displacement of 8.50 rad. Homework Equations v=ωr...

I get I(a) by: (100-j20)/(100^2 + 20^2) = .0096-j20 I keep switching to polar form because I thought it was easier to multipy/divide when the numbers were in polar form rather then rectangular form?

Using that formula I end up with I(a) = .01 + j20 I then plug I(a) into the second equation and get: 90 = .01-j100 + j25(I(b)) Do I need to convert to polar form now in order to solve for I(b)?

I have followed your instructions and end up with: I(a) = (390/(100+j25) = (390/(103.08angle(14.04)) = 3.78angle(14.04) I then plug this number into the first equation and get: 90 = -j5(3.78angle(14.04)) + j25(I(b)) I'm trying to convert -j5 into an angle to multiply, but arctan of -5/0...

I tried to solve for I(b) first and ended up with the equation: I(b) = (60-(20+j5)(I(a))/-j5) and then plugged that into the first equation and found: 90 = (60-(20-j1)I(a))(j25) - j5(I(a)) At this point it seemed like I was doing something wrong because of the complexity so that's when I...

Homework Statement Find I(a) and I(b) for the equaions below: 90 = -j5(I(a)) + j25(I(b)) 60 = (20+j5)(I(a)) - j5(I(b)) Homework Equations Equations in rectangular form The Attempt at a Solution I've tried solving this for one variable and then plugging the answer into the second...

I have attached a copy of my work including a picture of the circuit. I have been trying different methods so a good part of the attached isn't relevent.

I(s) is the source current.

The problem doesn't say to use it, but our teacher started us off using a current source in the circuit rather then a voltage source so I continued to use thru the calculations.

Homework Statement Derive the Voltage and Current equations for Step Response of an RC circuit. Homework Equations End products will be Vc(t) = i(s)R + (Vo - i(s)R)e^(-t/RC) and i(t) = (Is - (Vo/R))e^(-t/RC) The Attempt at a Solution Using KCL on a hypotetical RC circuit with a...

After factoring I'm left with: fx(x,y)=y(5x^4+y^4+1)=0 fy(x,y)=x(x^4+5y^4+1)=0 Since both equations are to an even power (can't be negative), it brings me to the conclusion that only x=y=0 works.

Homework Statement Find the critical point for z=(x^5)y+(xy^5)+xy Homework Equations fx(x,y)=(5x^4)y+(y^5)+y=0 fy(x,y)=x^5+(5xy^4)+x=0 The Attempt at a Solution After finding fx and fy shown above, I attempt to find the critical points in one of the equations above, but the only...

Homework Statement I'm working on a circuits equation and need to find V(o). The equation is: (V(o)/-j25)+((V(o)-240)/12.5)+(V(o)/(15+j20))=0 How do I solve for V(o)? I know the answer is 183.53-j14.12, but I don't understand how to get to that answer. Thanks in advance! Homework...

Homework Statement Two separate problems: 1. Sketch f(x,y)=x+(y^2) 2. Sketch f(x,y)=sq rt (4-(x^2)-(y^2)) Homework Equations The Attempt at a Solution I honestly don't even know where to begin with sketching these two equations. In the first problem I can't find an example...

Homework Statement Sketch the curve given by the vector valued function r(t)=t^2i + t^3j, -infinity<t<infinity Homework Equations The Attempt at a Solution I'm confused with how to graph it when it's not two separate values separated with a comma. Am I allowed to plug in a t...