hello
ok the work done by the spring is 0.5*k*x02 - 0.5*k*x12
we know that x0=-0.1m
but what is x1, since the 0.25m given in the question is the distance not the displacement??!?
Homework Statement
A spring with negligible mass has a constant of 105 N/m. It has been compressed horizantally with a 2 kg mass for a distance of 0.1m. If the mass has moved after release for a distance of 0.25m, what is the coefficient of kinetic friction between mass and horizontal surface...
hi
yes, my question means: can the number of equilibria in the statement exceed one?
The example you provided don't satisfy the requirement. The equilibrium 0 is unstable
thanks.
Hi all
Suppose for a dynamical system \dot x=f(x) , x \in \mathbb R^n there exists finite number of isolated equilibria, each of which is locally stable (i.e eigenvalues of the associated Jacobian have negative real parts).
My question is: Can this happen for more than one equilibrium...
Who took the GRE Subject Math Test ??
I am going to take the GRE Math next Saturday, I would like to ask you ..
Did the practice test posted in the ETS site resemble well the real test you have took ? Is it more difficult or less .. ?
Did the Princeton review ( Cracking the GRE Math)...
If the displacement was given by \overrightarrow x (t)
( i.e vector valued function ) .
Then the velocity is \overrightarrow v = \frac {d \overrightarrow x}{dt}
The speed is the magnitude of v .
But ..
What is the derivative of the magintude of the displacement \frac {d...
The solution of the equation cos (x) = x can be given as applying the cosine function infinite nubmer of times to a starting point ..
x = cos cos cos ... cos (a)
In other words , the solution can be expressed as :
x = \lim _ { n \to \infty } \cos ^ { \circ n } ( a )...
The Dirac detla or unit impulse function is defined as :
\delta (t) = \left \{ \begin {matrix} \infty \quad \ t = 0 \\ 0 \quad : \ t \neq 0 \end{matrix}
and the unit step function :
u(t) = \left \{ \begin {matrix} 1 \quad \ t \geqslant 0 \\ 0 \quad : \ t < 0 \end{matrix}
It is...
Hi,
I = \int \frac { dH} { a + b- c \sqrt H }
Let u2= H >>> 2u du = dH
\therefore I = \int \frac {2u } { a + b- c u } du
= \frac {-2} {c} \int \frac { -cu + a + b- (a + b) } { a + b- cu } du
= = \frac {-2} {c} \left( 1 - \frac { a + b} { -c } \int \frac { -c } { a + b- cu } du...
Hi,
Find the result of this integration::
\int_0^\infty \frac { e^ {-3x} - e^ {-4x} }{x} dx
The members who know the answer previously please don't answer in order to make the other members think :cool: !
Best wishes ,