Homework Statement
The normal to the hyperbola (x^2)/2 - y^2 = 1 at P (sqrt 3, sqrt 0.5) cuts the y-axis at A and the x-axis at B. Show that PA:PB = 2:1
Homework Equations
Equation of normal to general hyperbola at (x1,y1) is x(a^2)/x1 + y(b^2)/y1 = a^2 + b^2
The Attempt at a Solution...
Homework Statement
Find the general term of a sequence whose sum of the first n terms is S(n)=1/n(n+1)
Homework Equations
N/A
The Attempt at a Solution
I am able to work out T(n) as through T(n)=S(n)-S(n-1)
which works out to be -2/n(n-1)(n+1) however this doesn't work for when...
I'm building a simple motor out of basic materials and at the moment its very similar to this one:
http://www.exploratorium.edu/snacks/stripped_down_motor.html
However it won't start unless I give it an initial push. One of the criteria I need to fulfill is that it needs to self-start...