Homework Statement
I've written some C code that models the motion of two masses attached to a wall (and each other) by springs like this.
The output file is 5 columns; the time, and the positions and velocities of each block at that time.
I'm not sure how to visualise my data...
Homework Statement
R=(A \cdot \overline{B})+(\overline{A} \cdot B)
Using Boolean algebra, including the complement relation D\cdot \overline{D}=0, convert R to a form that uses one NAND, one AND and one OR gate (a total of three gates).
Homework Equations
de Morgan's theorem...
Homework Statement
This isn't strictly homework, I'm going over my lecturer's notes before the exam and I don't understand a part of this proof for magnetic fields doing no work.
This is the second proof he gave, the first being the more standard \vec{B}\cdot\textit{d}\vec{l}=0...
Homework Statement
"The transformation T from the z-plane to the w-plane is given by
w=\frac{1}{Z-2}
where Z=x+iy and w=u+iv
Show that under T the straight line with equation 2x+y=5 is transformed to a circle in the w-plane with centre \left ( 1,-\frac{1}{2} \right ) and radius...
Homework Statement
Given that
cos5θ=16cos^{5}θ-20cos^{3}θ+5cosθ
Find the 3 solutions to
16x^{5}-20x^{3}+5x+1=0
Homework Equations
The Attempt at a Solution
I have let x=cosθ and θ=cos^{-1}x
and I know that cos5θ=-1
Homework Statement
A particle P of mass 0.6kg is attached to one end of a light elastic spring of modulus of elasticity 72N and natural length 1.2m.
The other end of the spring is fixed to a point A on the smooth horizontal table on which P rests. Initially P is at rest and is 1.2m from A...