Oh, I think I did understand what you meant. But, I just meant to prove by contradiction that the initial assumption, in my first line, is invalid by manipulating the inequalities. But, I guess I will just stick to your way of explaining it then. Thanks so much for helping!
Would this make sense then? Using the equation for the bottom quarter circle. Assuming,
xf < yf
xf < r - sqrt(r2 - xf2)
r - xf > sqrt(r2 - xf2)
square both sides, since both sides are positive and also assuming xf is not zero, it eventually reduces to
xf > r
Therefore, by contradiction, we...
Homework Statement and Homework Equations[/B]
I was working on a math project involving certain simulations and a quarter circle. The equation of the quarter circle I used is y = r - SQRT(r^2 - x^2). Where r is the radius of a circle and x is greater than 0.
The purpose of this is to model is...
Homework Statement
I am preparing a phosphate and a bicarbonate buffer at pH 7.4. I am not using the tradition of making a "rough" buffer and then adjusting the pH to the desired value as I want to target a certain value of osmolarity in both buffers. As such I just want to do all calculations...
The diagram shows the end of the rod from the side-view. The strings are attached to the top of the rods so they exert a force on them but, the radii of the rods are actually quite small so is it possible to ignore that and take it as though the force is applied at the centre of the cylinder, as...
Hi, thanks for the reply. It is kind of hard to draw how the knot was tied but, its basically a loop at the end of each string and the loop of the main string goes through the other two. Sorry for the messiness. I tried this by thinking of the entire thing as a single object by taking (2T1cosθ...
Hi, I appreciate any help. Thanks in advance!
Homework Statement
The image shows the top view of the set-up. Basically, it is a cylinder (resting on a horizontal plane) with two rods on either side attached in line with the centre of mass of the cylinder. Two pieces of string are then taped...
Hey,
Homework Statement
I was working on a kinematics experiment using Tracker to do a video analysis. I obtained a graph of displacement against time for the body under constant acceleration and the software also gives me the rms error between the parabolic trend line and the data points...