Hey,
I'm sure you are all familiar with the experiment where you take a glass of water , put a some seal on it and then turn it upside down.
Due to the (atmospheric pressure) - (the air pressure in the glass) exerting a force on the seal upwards greater than the [mg] of the water, the seal...
Thanks.
I know the second way,and I did it like that.
About the first way, can you recommend on a book that show how to do it?
in our course it was only when z=0...
edit: nvm googled it...
I feel ashamed. Thanks!
Homework Statement
calculate the frenet frame for the vector:
\vec{r}(t)=(2t cost,2tsint,5t)
calculate the acceleration in frenet frame.
Homework Equations
\hat{T}=\frac{dr}{ds}=\frac{\dot{r}}{|\dot{r}|}
\hat{N}=\frac{\frac{dT}{ds}}{|\frac{dT}{ds}|}
\hat{B}=\hat{T}\times \hat{N}The Attempt...
I'm really sorry, but that's exactly my problem.
I can't see how can I separate v and m,
If I divide by v and m I'm still stuck with \frac{ ub}{mv}dt
and \frac{ k}{m}dt
how can I integrate \frac{dt}{m} or \frac{dt}{mv}?
and more generally, is there a text about how to do...
Ok, so:
F= ub - kv
m\frac{dv}{dt}= ub - kv
m\frac{dv}{dt}=ub-k\frac{dx}{dt}
now I'm still stuck
m\frac{dv}{v}=(\frac{ub}{v}-k)dt
vdt=dx \Rightarrow \frac{dt}{v}=\frac{dx}{v^2} = \frac{dv}{v^2 dt}
how can I isolate v to be only with dv?
should I use m=M_0 - bt?
Because this is not a 'formal' question I won't use the template.
I was wondering, what if I have a rocket (varying mass) with air resistance acting upon it?
Let's say the F=-kv
u is the speed of the rocket relative to the gas, and the rate of mass/second extracted is
b
without g it would...
Homework Statement
a body with mass M moves across a plane with friction
friction constant:
\mu = \lambda x^2
the body starts at x=0
with velocity v0
find at what x
the body stops
and what was the velocity half way there.
Homework Equations
v^2=v_0^2+2a\Delta x
The Attempt at a Solution...
Hey
I have an accelerated circular motion problem.
I have only the position equation, from which I derived the velocity and acceleration.
how can I tell what is the tangential acceleration and what is the radial acceleration?
If you could point me towards a source to read about the...
Homework Statement
a ball with mass m is thrown up from the ground with a velocity v_0
the force due to Air resistance is: F=-bv
(there's also gravity)
find the velocity and distance with respect to time
The Attempt at a Solution
I think I got the velocity...
If you are sending it to some kind of online checking system:
a. Check to see if they want it in radians.
b. Check if all of the starting conditions are correct.
c. Take into consideration that they make mistakes too.
I will assume that the force is F=8\hat{i}-3\hat{j}
the dot product between F and delta-r:
(8,-3)\cdot (2,1) = 8\cdot 2 + (-3)\cdot 1 = 13
the norm of F:
||F||=\sqrt{8^2 +3^2}
norm of delta-r :
||\Delta r|| =\sqrt{1^2+2^2}
I got 47.12 degrees but it seems you have used different conditions :/