Can someone explain why bicycle spokes break while cycling fast?

Thread starter plsputmeoutofmymiser
Start date Aug 12, 2021
Tags

Bicycle Break Explain

Aug 12, 2021

plsputmeoutofmymiser

Homework Statement: Can someone explain why bisycle spokes break while cycling fast? Or stopping abruptly? In physics way

Relevant Equations: I have nothing, sorry

Physics news on Phys.org

Aug 12, 2021

Lnewqban

Homework Helper

Gold Member

Welcome!
Is that the exact wording of the problem?
Is this a homework?
Any info about the type of bicycle?

Aug 12, 2021

Mark44

Mentor

Insights Author

Thread locked. I've asked the OP to repost the question with more details and some effort at answering the question.

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...

View full post »

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

View full post »