Nevermind I just remembered there is no force caused by the velocity in the direction of the field. So you mean you only need v_x and v_y if B is in the z-direction?
Homework Statement
Show that two measurements F1 and F2 of magnetic force at a fixed point are sufficient enough to determine B at that point as (see picture) provided v1 and v2 are orthogonal.
2. Homework Equations
F = qv x B
Bz = cFx/(qvy)
By = cFz/(qvx)
Bx = cFy/(qvz)
The Attempt at a...
Homework Statement
A system can be taken from state A to state B where SA = SB either by (a) directly along the adiabat S = constant, or (b) first along an isochore A to C and then along the isobar C to B. The difference in the work done by the system is simply the area enclosed between the...
Homework Statement
For the rubber band model, calculate the fractional change in (L-L0) that results from an increase δT in temperature, at constant tension. Express the result in terms of the length and temperature.
Homework Equations
U=cL0T
τ=bT((L-L0)/(L1-L0)); τ=tension, L1=elastic...
Homework Statement
A system obeys the equations:
P=-(NU)/(NV-2AVU)
and
T=2CU1/2V1/2eAU/N/(N-2AU)
Find the fundamental equation
Hint: to integrate let s=Dunvme-Au
Where D, n, m are constants to be determined.
Homework Equations
Aside from the given ones,
V=Nv
U=Nu...
I have drawn a sketch. I'm going to try and work it out with the z-axis in the center of the triangle, and then with the z-axis as one of the prism edges, and use the parallel-axis theorem. I can take a picture of my work then. I know x and y would have positive and negative values, but if I...
The way I interpret it is that the axis of rotation is along the z-axis, and that the z-axis runs through the center of mass. Basically, the triangle is centered on the z-axis. The wording is very vague, and I am a little confused by what is meant.
So I should integrate from -H/2 to H/2 is...
Not sure I really understand what you're asking. It says it's along the z-axis
ρ=M/V
ρV=M; V=A*H; A=.5bh
ρ(.5bhH)=M
ρdV=dM
I substituted in .5bhH for V but looking back on it I don't think I should have.
would dM=ρdxdydz be correct?
Sorry that was a typo. "h" should have been "H"
Homework Statement
A triangular prism (like a box of toblerone) of mass M, whose ends are equilateral triangles parallel to the xy plane with side 2a, is centered on the origin with its axis along the z axis. Find its moment of inertia for rotation about the z axis. Without doing any...
Homework Statement
The simple form H=T+U is true only if your generalized coordinates are "natural"(relation between generalized and underlying Cartesian coordinates is independent of time). If the generalized coordinates are not natural, you must use the definition H=Ʃpq'-L. To illustrate...
Yeah I just reread the question statement that I posted and it must have changed when I copy and pasted it from the pdf of the book. Instead of pV 5 constant, it says pV=constant. Sorry for all the confusion.