Recent content by lukatwo

Thanks, in the absence of an answer I've reread my notes, and managed to solve the problem. I've had to put everything in it's place in my head(all the different accelerations, and velocities). English is obviously not my mother language so I probably got the terminology part wrong.

Homework Statement A wheel is spinning at n=1200rpm. The wheel starts to linearly decelerate, and after t=100s it stops. Determine the velocity, and acceleration of a point 10cm from the center of the mass, after 50 seconds of decelerating. The radius of the wheel is 30cm.Homework Equations...

I've tried taking the perpendicular component, but not sure what the lever arm is. I'm not sure how to determine the line of action.

Homework Statement So I was wondering how do we account for vectors that are at a certain angle. The problem that I'm having with the picture is: if I was calculating torque from point B, how would I account for the vector G. Homework Equations The Attempt at a Solution I've...

Should it be g*m*(h+∆L)=(1/2)*k*(∆L)^2, because if it's on both sides it's the same

Homework Statement Hello, I'm having a problem with this. So we drop the weight on this spring, and the question is: how much does the spring compress? The mass is 5kg, the height 0,4m, and the spring elasticity factor k=1700N/m. Homework Equations The Attempt at a Solution I've...

Maybe should have put the part that was troubling me in the question. So basically, where is z>=-sqrt(x^2+y^2) supposed to be?

Homework Statement I'm having a problem with solving the domain of |x^2+y^2|<=|z^2|. Homework Equations The Attempt at a Solution From what I got this should be separated into two expressions: x^2+y^2<=z^2, and x^2+y^2>=-z^2. The later doesn't have a real solution because of the...

No it's -n alright, but I've been switching them up along the way. Now I see my problem. Thanks

Homework Statement So I need to determine if the series \Sigmaln(1+e^{-n})/n converges.Homework Equations The Attempt at a Solution I know it does, but cannot prove it. Wolfram says that the ratio test indicates that the series converges, but when I try to solve the limit I get that it equals...

That makes sense, but I probably should have said that I was wondering if it converges conditionally. Thanks for clearing things up!

My textbook doesn't say it needs to be the absolute value, although it's under the absolute convergence chapter. When I think of it, it makes a lot of sense that it needs to be absolute convergence. But then again if we pair lim(n->inf)a_n=0 with a decreasing function I think we get the same thing.

Yes, that is what I meant. English is my second language so math terminology in English is not my strong point. That was my question, and thanks for clearing it up!

Homework Statement Hello, I was wondering if a falling function needs to fall on it's whole domain? I was solving a series with alternating sings. It says that if the series has alternating signs, that it converges if: 1) lim(n->0)an=0 2) an is a falling function I was solving this...

Thank you very much for your help!