Homework Statement
Well I am studying for my final which is in a couple of days, and I am stuck on this topic of convergence of improper integrals. I've been doing a couple and I thought I was doing them correctly but my answers do not go with the answers I was given. So I am stressing out...
Homework Statement
A loaded ore car has a mass of 950kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.0 degrees above the horizontal. The car accelerates uniformly to a speed of 2.2...
Homework Statement
Evaluate the Integral: Sqrt[(X^2)+9]
Homework Equations
I know its an Integration By parts problem, but I don't know how to start it.
The Attempt at a Solution
Im JUST learning this as I type this problem out, I've just been stuck on it for a while and my book...
Im not sure how to put a diagram on this forum, but If i apply Newtons second law, I don't end up with the same Tensions as the book answer.
F = ma
I come up with 6.08 N for T1
Homework Statement
a block with mass m1= 2 kg, and a block of mass m2 = 6kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = .25m and mass M = 10 kg. These blocks are allowed to move on a fixed wedge of angle pheta = 30 degrees. the coefficent of...
Homework Statement
Integrate from e^x to e^2x: (sin^2(t) + cos^2(t) -1)dt
Homework Equations
just standard integral equations
The Attempt at a Solution
I know how to do most of it, my only question is: is (sin^2(e^2x) + cos^2(e^x) -1) a special trig identity? or would i just...
-This is what I've figured out so far:
The area of the curve under the graph can be approximated using calculus, hence its finite. And if I revolve it, the volume is finite, because the area used was finite. However To get the surface area I would need to rotate the length of the curve, which...
Well, Like i said, A classmate thought it was 1/sqrt(x) and i thought it was 1/x^2..but we both could be wrong i suppose. I graphed 1/x and it does seem to make more sense, so Ill just go with that and If its not correct so be it.
He didnt state any integral either, just the function and the...
Ahh, I just talked with a classmate, and its 1/sqrt(x) not 1/(x^2) my apologies. You do have to use a volume integral, but I am not very familiar with the steps.
Homework Statement
Graph 1/(x^2), and revolve it around the x-axis to form a 'horn' type shape. Prove that the volume is finite, while the area is infinite
Homework Equations
no specific equations.. I know that to find the volume you need to use the shell method and take the sum of...
hmm, well if the spring constant is the same, i got the same answer for part B as I did for A. because B is twice the mass, but goes half as high. Is that correct? or am I still missing something
alright, I figured out part A. I used the PEs = PEgrav equation, which is 1/2Kx^2 = mgh
I plugged in .1 for x for part A (along with all of the other given info) and the answer i came up with was 3920m = K, and I plugged it into the equation again to get x = .141m as the amount its compressed...
Well, here's what I did..although it could be way off.
I set kd=mg, and solved for k. the answer i got was k = m(9.8)/.1m.
Then i used the equation ws + wg = 0 => 1/2Kx^2 - mgh = 0 => x = sqrt((2mgh)/k) then i plugged in the numbers and ended up with 40 cm.
but I think d is equal to 2.1 and...
Work by a spring and such
Homework Statement
Hey guys, this is an example from a quiz last semester that I am studying off of. However I can't figure out how to solve this question. Here is goes:
1. Block A, with Mass m, sits on top of a spring which is compressed 10 cm. When the spring...
Hey guys, this is an example from a quiz last semester that I am studying off of. However I can't figure out how to solve this question. Here is goes:
1. Block A, with Mass m, sits on top of a spring which is compressed 10 cm. When the spring is released, the block is launched to a maximum...
ahh ok, thanks for the tip. Ill post there next time.
Heres what I've found so far:
Uk(coefficient of kinetic friction)N=Fk ,
using N=mg, i got n=78.4 however because the elevator is moving up i found n= 26.4
from there i used the equation Vxf^2 = Vxi^2 + 2ax(Xf-Xi)
I plugged in...
[SOLVED] Friction Problem. need help!
Hey guys, I am new on here. I have a test coming up and this was an example from an old test. I was wondering if someone could help me out and let me know the steps involved/ how to solve it. It would help me out ALOT. thanks
A student stands in an...