Homework Statement
A flat rigid body is rotating with angular velocity 3 rads-1 about an axis in the
direction of the vector (i + 2 j + 3 k) and passing through the point (1, 1, 0) on
the body. Find the linear velocity of the point P = (1, 0, 1) on the body.
(You may use the result v =...
Homework Statement
A ball of mass 1 kg is acted upon by three forces:
Fl = (2i + 4j - 3k) N, F2 = (-3i - j + 2k) Nand F3 = (i - 5j - k) N.
Determine a vector expression for the acceleration of the particle.
If, at time t = 0, it has position r = (i +j) m and velocity u = (i +3j)m/s...
Q. In a particular spectrometer, doubly ionised \stackrel{12}{6}C and singly ionised \stackrel{6}{3}Li atoms are detected. The ratio of the path radii is 1.00252, the Li having the larger value. The fields are constant. Find the mass of of the lithium atom.
I can only think of the equation...
I'm trying to integrate a function which is given as
F(u)= \int f(x)e^{-2}^{\pi} ^{i} ^{x} ^{u} dx
with limits of +ve and -ve infinity
integrating by parts gives me
\frac{1}{2} f(x)^{2}e^{-2}^{\pi}^{i}^{x}^{u}-\frac{1}{2} \int f(x)^{2}xe^{-2}^{\pi}^{i}^{x}^{u}dx
fisrt off, is the...
I'm trying to solve this firrst order diff. equation, where I'm given the initial value, x(0)=2
\frac{dx}{dt}=\frac{3x+4}{\sqrt{t}}
\frac{dx}{3x+4}=\frac{1}{\sqrt{t}}dt
\int\frac{1}{3x+4}dx=\int\frac{1}{\sqrt{t}}dt
ln(3x+4)=ln(t^{\frac{1}{2}})
this is as far as I got, do I sub in x(0)=2...
I am given F=(3i + 2j + 4k) N and mass = 2kg
I need to calculate acceleration, so I plugged it into F=ma,
am I right in saying
(3i + 2j + 4k) = 2 a
\frac{(3i + 2j + 4k)}{2} = a
therefore a = 1.5i + 1j + 2k ?
cheers.
I needed to write an equation for a wave with:
amplitude : 2cm
wave vector : 502.7
angular frequency : 125.7 Hz
time : 0 sec
and I used the general equation for waves to come up with:
y = 0.02 sin (125.7 - 502.7x)
is that alright?
I had a go at 2 Q's and wanted to make sure I'm doing this right.
so here's the first one, and maybe if i went wrong with it I was going to redo the 2nd Q on my own.
\lambda = h/p = h/mv (\sqrt{1-((v^2)/(c^2))})
so, an Alpha Particle travelling @ 2x106m/s (mass = 6.645x10-27 kg)...
the question is \int 2x sec^2 (x^2) dx
do i sub u= sec (x^2) ?
I so far have got to trying to sub u= sec(x^2) and getting du= 2 (sec x^2 tan x^2)... i have a strong feeling i fudged the "du" part. hmm.
intergrating "e"
I'm doing some intergration q's and I'm stuck on one which involves e
[x^2 e^(x^3) ]dx
I know to integrate you "add one to the power and divide by the new power.. would that make the solution
((x^3)/3) ((e^(x^4))/(x^4)? hope that makes a bit of sense..
I am going through some questions for resits in August, and I have no idea what this question is wanting me to explain :
"Briefly discuss the circumstances under which (i) momentum, (ii) kinetic energy and (iii) total energy are conserved in collisions between two bodies. [3]"
it's only a...