thats the thing i know how to integrate ln(x) where x is any function wih power 1.
ln(x^3-1)
let t = x^3-1 --> 3x^2dx=dt when i sub that in i dont know how to proceed
=ln(t)dt/3x^2 --> maybe another substitution, ie let u=3x^2, du=6xdt,
any help guys?
Homework Statement
Integral of: 2x^3/(x^3-1) with respect to x.
The Attempt at a Solution
you can divide them to get sum of integrals.
=int(2,x) + 2*int(1/(x^-1),x)
=2x + 2*int(1/(x^-1),x)
Im having trouble proceeding with the last part, i just need help getting started.
but since it is a varying force, how would i use the scalar product, it isnt a constant force. should i only apply it to the final position where. what is the formula for Wa? since its the negative of Wg= mghcos180=-(9.8)(170)(0.86)=-1429 J. Wa should be +1429J but how can i calculate it...
Wa is the work done by the applied force.
since at any point on the rope it is right angles to displacement cos90=0 so then tcos90=0. the answer in the book is 0 too.
thats what i think.
so for a, are the calculations correct? tension will have its corresponding components, yes.
and for c work due to tension is always 0 then (cos90)
"why isn't the component of Force along x = M*g*Sinθ" how did you come to that conclusion???
EDIT: how would one calculate the Wa without setting...
for (a) gravity does not have any components. i think you misread the question. ive attached a diagram.
for (b) since the change in kinetic energy is zero, mgh is equal to the negative of work
for (c) i dont quite understand
given/known data
A 170 kg crate hangs from end of rope length L = 15 m. You push horizontally on crate with varying force F to move distance d = 5 m sideways. (a) What magnitude be of F when crate is in final position? During crate's displacement, what are (b) the total work done on it, and (c)...
[SOLVED] Solubility Thallous Chloride
Homework Statement
6.5g of thallous chloride is added to 750ml of water at room temperature to determine Ksp. The solution is stirred from time to time over a 4h period. Some thallous chloride does not dissolve and the solution is declared saturated. A...
Homework Statement
Find all values of t so that the three vectors a=(1,2,3) b=(4,5,6) and c=(7,8,t) are coplanar.
Homework Equations
(axb) \bullet c=0
The Attempt at a Solution
(1, 2, 3) x (4, 5, 6)
(-3,6,-3)
(-3,6,-3)\bullet(7,8,t)
27=3t
t=9
it says find ALL values of t. i keep getting 9...