A chord of length 4cm divides a circle of radius 3.3cm into two segments. Find the area of each segment.
I've managed to workout the area of one of the segments (approx 1.84 cm^2). This is the correct solution given in my answer booklet.
The second segment area would therefore be 2*pi*(3.3)^2...
Looks like the question wasn't as difficult as I thought it was going to be.
Okay statdad thanks. :)
P.S. Appologies to moderators. I'll post these sorts of questions in the correct section next time. ;)
Show that the point (p, 4p^{2}) lies on the curve y = 4x^{2} for all real values of p.
I'm not at all sure how to go about answering this. I know that substituting p into y = 4x^{2} satisfies the equation. Is that enough?, or I'm not looking at this deep enough. Any hint(s) appreciated...
Ah, I see...
That makes perfect sense. The problem I had was always ending up with an a^2 after doing all the algebraic manipulation.
Arkajad and HallsofIvy, many thanks. :)
Hi,
I've tried numerous ways of tackling this but I can't seem to get the answer that I have in my solutions booklet. Looking to see if anyone can give an alternative starting. Anyway here's one approach I used...
Let Q be the point the line A(4, 0) -> P(a, b) cuts the y-axis.
AP^2 = (4 -...
A point P(a, b) is equidistant from the y-axis and from the point (4, 0). Find a relationship between a and b.
Any hints on how to go about this appreciated.
Thanks.
Hi all,
I'm looking to start developing some real-time simulations using forward and inverse kinematics. However I would first like to start with some "basic" tutorials of the subject matter before proceeding. I'm actually pretty new to the subject. Even some simple worked examples would...
Yup. I think that that is the problem for the simulation escaping. I realized this when I actually took another look at the implementation. I wasn't calculating the acceleration of the pendulum based on the initial conditions provided to the simulation, but rather I was just "feeding in" a...
Pendulum Problem...
Hi all,
I've written a little simulator (in C++) that demonstrates a simple pendulum swinging from right to left and back again. To simulate the motion I'm using the simple second order differential equation:
accelaration = -(g/L) * theta
and numerically...
Hi Chi,
Sorry for my explanations. I'll try to make it clearer. Basically what that second ODE does is it models the acceleration (y'') of a roller coaster car (theoretically it can represent any object) on a circular track that has radius (R), (n) hills each of height (H). Note the...
Problem Outline: I'm trying to determine how to keep the distance between 2 cars on a (3D) roller coaster ride. Currently the front car moves away from the back car.
My current implementation uses a second order differential equation to model the acceleration of the cars at time t. The...