Homework Statement
Problem 5 here:
http://www.princeton.edu/~romalis/PHYS203/HW1.pdf
Homework Equations
N/A
The Attempt at a Solution
The part that really confuses me is where it says that the cable lengths are adjusted so there is no shear stress on the bridge. What exactly does this mean...
If you bring a positive charge near a thin conducting sheet, it will induce a negative charge on the side nearest to the charge. And in order for the conducting sheet to remain electrically neutral, a positive charge of equal magnitude will be induced on the other side.
How could the conductor...
My textbook says that for a central force at the origin, the angular momentum is constant, because the derivative rxF is zero since F points radially outwards so it is in the same direction as r. Ok, but what about the angular momentum about a point other than the origin, or the angular momentum...
Updated my post to fix those mistakes. I mistyped 800km/hr in my post but I used 400km/hr in my calculation. Taking mass into account my answer is scaled by a factor of 10000, so it's still different from the answer in the back of the book.
Homework Statement
Find the magnitude and direction of the Coriolis force on a racing car of mass 10 metric tons traveling due south at a speed of 400km/hr at a lattitude of 45 degrees north.
Homework Equations
F_{cor}=-2m\omega\times v
The Attempt at a Solution
\omega=2\pi/(24*3600 \quad...
Homework Statement
Find the velocity of v as a function of displacement x for a particle of mass m which starts from rest at x=0 and subject to the following force:
F=F_0+kv
You could say mv = F0*t + kx, but the answer in the back of the book is an equation that is only in terms of x and v...
I want to the line integral in the following picture:
The field is the blue arrows that go left to right, and the path is the orange line that is going from right to left.
Just by looking at the picture, it is clear that the result will be negative, but when I set up the integration this is...
For line integrals in vector calculus,
\int^a_b F \cdot dl
I almost always see the path oriented from a to b.
But my textbook has the following (look at the first equation for V(r):
Since the integral's limits are from O to r, I would have expected dl to also be pointing in the direction...
Consider this equation:
f(x(t),y(t))=2(x(t))^2+x(t)y(t)+y(t)
One way to calculate df/dt is directly using the chain rule:
\frac{df}{dt}=4x(t)\frac{dx}{dt}+\frac{dx}{dt}y(t)+\frac{dy}{dt}x(t)+\frac{dy}{dt}
\frac{df}{dt}=(4x(t)+y(t))\frac{dx}{dt}+(x(t)+1)\frac{dy}{dt}
Another way is by using...
Drift is when electrons move in response to the electric field from an applied voltage source. Diffusion is when electrons move in response to the electric field from other electrons/holes in the semiconductor.
Sorry I meant the field outside of the conductor. I will draw a picture for clarity.
The yellow dots are negative charges and the purple dots are positive charges, and the field inside the conductor is zero. For an incident electric field pointing downward, how does the horizontal sheet...
For a conducting sheet that is transverse to a constant uniform incident field, I believe the resulting total field would simply be the incident field doubled. I'm trying to figure out why this happens, preferably avoiding the method of images since I am using this to figure out how the method...
The common explanation is this: If the conductor has a net charge, then the charges repel each other until they arrange themselves symmetrically around the outside of the sphere, and if you do the math the electric field will cancel out everywhere inside the conducting sphere.
Alright, but what...
I haven't studied materials in depth, but I would assume that something like rubber would make a good insulator because of its bounciness. The molecules of a substance contained in a rubber container would collide with the walls of the container in a very elastic collision, and the kinetic...