Recent content by HermitOfThebes

Beautiful. Thank you very much.

nvm. I see what you're saying.

d/dx (1+sinx) = cosx. But why would I differentiate?

I know that sinx/1+cosx is tan(x/2). I can't quite see the relationship though.

The question did not include any limits to the range of x. In fact, I copied the question as it exactly is from the Oxford Physics Aptitude Test. Weird that they would do such a mistake.

Homework Statement Integrate Cosx/1+sinx dx from 0 to pi/2. "The question does not assume knowledge of integration by parts." Homework EquationsThe Attempt at a Solution Could it be found using the quotient rule? If not, is there any way of proving it without using integration by parts? Mod...

Homework Statement Sketch the region defined by: y ≤ x^2 and 4 ≥ y ≥ 0 and y ≥ 2x − 4. Evaluate the area defined by the above inequalities. Homework EquationsThe Attempt at a Solution I have already plotted the positive part and found the area. However, the negative part seems to be infinite...

Often times we find a very specific theory, law or observation generalised. For instance, Heisenberg's uncertainty principle was about detecting an electron using a photon, however, it was then generalised to be a true property of particles no matter what you use to identify their positions or...

How is my analysis incorrect? T = r x F. T = I.beta I = m r^2 T = m r^2.beta r * F = m r^2 . beta F = m r . beta beta = F / m r you can see here that the angular acceleration is inverely proportional to the length of the lever. So if I increase the length of the lever, or increase the...

Even still, because t = mr^2 * angular acceleration. t = F * r, so F= mr * angular acceleration. so increasing the length of the lever decreases the angular acceleration. It this true or am I wrong somewhere?

If you break down I into mr^2, it seems like the further away the force is applied form the fulcrum, the slower the rotation if the force is constant. Now this is not true because the torque should be greater. Unless, r in the I = mr^2 is not the r the distance vector but only the absolute...

Question 1: What exactly is torque? I know this seems like a very vague question the answer of which can be found easily online, but I don't think any website online defines torque properly. The definition of force is a proper definition because it allows us to make predictions, if we know F...

Oh. That bloody -1 :D thank you very much :D I wasted a lot of time trying all kinds of crazy things, should have paid more attention. Thanks :D

Can I please see your solution?

yea I did that too, still :S Even in Feynman's exercise book it says it's vf/4