Homework Statement
In this circuit, find i(t), knowing that v_s= 2 \cos \left(w x+\frac{\pi }{2}\right), and that, at the source's frequency, X_C= -1 Ω and X_L = 1 Ω.
Homework Equations
Basic phasors and dividers equations.
Z_C = jX_C
Z_L = jX_L
The Attempt at a Solution
I used dividers...
Right Trapezium - Simple Problem Using Trigonometry
Homework Statement
http://img207.imageshack.us/img207/8510/imagejat.jpg
ABCD is a right trapezium. CB = 3 = CD. P is a point of CB. The angle CDP is called x.
I have to express the function
f(x) = DP + CP
and I have to find the interval in...
Okay, but how to solve cubic trigonometic equations?
I think I can get a quadratic equation, in some way. We are studying them, indeed, and there is nothing about cubic trigonometric equations in my book.
Homework Statement
I'm trying to solve two similar equations, but I can't go on.
This is the first one
http://img818.imageshack.us/img818/298/imageevsu.jpg
This is the second one:
http://img7.imageshack.us/img7/7812/imageowud.jpg
Homework Equations
The Attempt at a Solution...
I've written this system of equations:
http://img13.imageshack.us/img13/9355/imagenxvc.jpg
But I get
3cos^2x+sin^2x-2cosx=0 and the solution of the poblem that the book gives me is ∏/5.
Homework Statement
http://img23.imageshack.us/img23/9427/imageyakj.jpg
AC+CB=24
The bisector = 8.
Find angle DCB, i.e. x.
Homework Equations
The Law of sines, I think.The Attempt at a Solution
Homework Statement
http://img35.imageshack.us/img35/806/imagezxg.jpg Homework Equations
The Attempt at a Solution
http://img853.imageshack.us/img853/4035/imageyffi.jpg
Homework Statement
A 900 kg car goes up along an inclined road by 30 degrees characterized by an acceleration of 0.25 m/s^2. If friction coefficient is 0.5, find the magnitude of the force that moves the car.
Solution: F = 12285.6 N
Homework Equations
The Attempt at a Solution...