Homework Statement
Without computing A, find the bases for the 4 fundamental subspaces.
[1 0 0][1 2 3 4]
[6 1 0][0 1 2 3]=A=LU
[9 8 1][0 0 1 2]
Homework Equations
N/A
The Attempt at a Solution
There was an "example" in the book. It just showed the answers.
It was:
[1 0...
I have to do a LDL^{T} transform of a symmetrical matrix:
[2 -1 0]
[-1 2 -1]
[0 -1 2]
And, I'm just wondering if I have to do a row exchange, or something. I can't remember if the L matrix has to have the form
[x 0 0]
[x x 0]
[x x x]
where the x's are nonzero numbers...
So now I get
x-direction
Fx = N sin() - mu N cos()
ax = [N sin() - mu N cos()]/m
T = -[v0x cos() m]/[N sin() - mu N cos()]
Substitute N = mg cos()
T = -[v0x cos() m]/[mg cos() sin() - mu mg cos() cos()]
cancel m cos() to arrive at original answer, right?
Thanks for all of your...
For part a, I got
T = -v0/(g sin(theta) - mu g cos(theta)]
Obviously since it's the same situation, I should be able to get the same answer for part b, But I'm having difficulty.
x-direction
Fx = N cos() - mu N cos()
ax = [N cos() - mu N cos()]/m
T = -[v0x cos() m]/[N cos() - mu N cos()]...
Excellent. Thank you.
For the second part, with the axes being the vertical and horizontal, I'm going to have a multi-component acceleration, yeah?
In the y-direction, the forces working is the weight/gravity which is pointing in the -y-direction, and components of the Normal and Friction...
Homework Statement
A block slides down a slope from point O with initial speed V. THe sliding coefficient, mu, brings the block to rest at time T. Using the ramp as the x-axis and the perpendicular as the y-axis, find T.
Homework Equations
F = ma
mu = mg sin(theta)
a=dv/dt
The...
Homework Statement
Homework Equations
The Attempt at a Solution
(3) I haven't been able to start this one at all.
(6) I got part a (+45º P-state). I tried to do b and I got [1+i, -i+1] which isn't a polarization state, so I'm not sure what to do with c or if there is some...