Hi,
i'm trying to do this problem:
-------------------------------------------------------------------
A tympani drum has a billiard ball of mass m resting in the
middle. The billiard ball is displaced only vertically, very slightly
from its equilibrium, and will oscillate vertically...
I'm trying to solve this problem:
Compute \oint_c(y+z)dx + (z-x)dy + (x-y)dz using Stoke's theorem, where c is the ellipse x(t) = asin^2t, \ y(t) = 2asintcost, z(t) = acos^2t, 0\leq t \leq \pi
The version of stoke's theorem I learned is:
\int_c \overrightarrow{F} \cdot...
hi,
thanks for the response. just to clarify, when it says the "volume of its cross section at h=0 is V_o , is it really referring to the "area" of the cross section? (eg. if we're talking about 3 dimensions)? its sort of hard to visualize.
i still don't get how to do b). so if n=1...
Can someone help me with this problem?:
We will define a cone in n-dimensions as a figure with a cross - section along its height X_n that has a constant shape, but each of its dimensions is shrunk linearly to 0.
a)let D be a cone in R^n with height h (ie. X_n \epsilon...