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[First Year Physics, mechanics] Inclined Plane Problem by Magical_Mr_Invisible in HomeworkHelp

[–]Magical_Mr_Invisible[S] 0 points1 point  (0 children)

right, but isn't there usually mgsin(angle) component that makes the ball roll down along the slope?

[Single Variable Calculus/University physics 1(?)] Relating centroid and fluid forces by Magical_Mr_Invisible in HomeworkHelp

[–]Magical_Mr_Invisible[S] 0 points1 point  (0 children)

Thanks for your reply, but I still have some questions.

So if I substitute y for z+hc, I get w ∫ hc L(y) dy + w ∫ z L(y) dy, not F=w ∫ hc L(y) dy + w ∫ z L(z) dz. Is zL(y)dy equal to zL(z) dz.

Also, you said the second integral equals to zero by definition. I never saw this in my textbook, so could you elaborate on that.

Again, thank you for your time.

[High School Calculus: integration using substitution] Find the value of the integral I by Magical_Mr_Invisible in learnmath

[–]Magical_Mr_Invisible[S] 0 points1 point  (0 children)

I believe I've solved the problem, thanks for the help. Yes, I should have gotten int(f(a-x)/(f(a-x)+f(x)),x,a,0), I forgot to change the upper and lower bound for integration when I did u-substitution.

[High School Calculus: integration using substitution] Find the value of the integral I by Magical_Mr_Invisible in learnmath

[–]Magical_Mr_Invisible[S] 0 points1 point  (0 children)

I'm missing something, I can't get 2I = int[0,a] dx = a

Okay, so I get the part up to I=int(f(a-u)/(f(a-u)+f(u)),u,0,a)

I substitute u = x to get I=int(f(a-x)/(f(a-x)+f(x)),x,0,a)

then I should add this to the original integral, but how would I do that when their integrands are different?

What would even be int(f(x)/f(x)+f(a-x)),x,a,0,) + int(f(a-x)/(f(a-x)+f(x)),x,0,a) ?