# If there is no motion in a direction, then the sum of the forces in that direction is zero.
# Here there is no motion in the horizontal direction. The other for in the horizontal direction is the friction. From this info you can find the friction.
# The force which makes the box go up is the...
# Hi,
# To solve this question, you should learn what kind of a magnetic field a current flowing in an infinitely long wire creates. The field due to two wires is just the superposition of itself.
# Draw crossing lines from top view. For both lines indicate whether the field is into the paper or...
# Hi
# for (i) Yes you are right. The thing will not start to rotate until the moment due to force exceeds the moment of weight.
# (ii) For calculating the moment one looks at the perpendicular distance between the force vector and the pivot point and they are the same for figure I and II. but...
I think your answer is correct. Have confidence in your reasoning. :-) Their periods are exact means that you found an interesting result!
First question is related to simple harmonic oscillation: \frac{d^2r}{dt^2}=-\frac{g_0}{R_E}r where \omega=\sqrt{\frac{g_0}{R_E}}. And second problem is...
# I would first look at the definitaion of a
a(t) = \frac{dv(t)}{dt}
# Integrate both sides
\int^{t}_{t_0} a(t) dt = v(t) - v(0)
# This is the relation between v and a. but it is not in the form of you want, i.e. v=f(a,t). It is an integral equation.
# So, there should be an assumption...
# Radiation needs "sinusodially varying electric field" For example, if a charged particle makes an oscillation in space, its electric field makes and an oscillation with a delay in time, according to the distance of the field point to the source.
# And light is an EM radiation (which is...
# OK, then. As you said the derivative of the function is 0 at x=0, and x=-2 and they are in the interval [-2,1]. By further calculating the second derivative or just plotting, or sketching the function, you can see whether these points are minima or maxima (or saddle points etc). And f(0) and...
# You found the answer by yourself. The question is whether there are any extremum points in the given interval (from 1 to 2) and the points you found are not in the given interval.
# The matricies are just some mathematical tools (a bunch of numbers) and have different meanings in different contexts. So, the meaning of transposing a matrix is context dependent too.
# For example, we use matricies in coordinate transformations
v'=Av
where
v' = \begin{pmatrix} x' \\...
# Hi
# My instructor of EM course wrote two formulas on the blackboard and asked whether they are correct and what their names are. (He does not know the answers too)
# These formulas give V and \vec{A}, given \vec{E} and \vec{B}
V(\vec{r},t) = - \vec{r} \cdot \int_{0}^{1} d\lambda...
# It's and electrodynamics exam. In general, the exams are openbook or instructors give some important formulas. But they are all physics books and formulas.
# And, I think, it's a shame for last year physics students, like me, not able to solve basic integrals.:shy:
# Thanks for your help.