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Find the lowest order energy eigenvalue and eigenstate of a particle trapped in dirac delta potential.

Dirac Delta Potential

Find the lowest order energy eigenvalue and eigenstate of a particle trapped in dirac delta potential.

Due in
1 month, 2 weeks
Posted 3 months, 1 week ago by Cleaner
Earn
16
Credits

Find the potential inside and outside a spherical surface of radius $$R$$ which carries a surface charge density $$\sigma$$ on the northern hermisphere and $$-\sigma$$ on the southern hermisphere.

Electric Potential

Find the potential inside and outside a spherical surface of radius $$R$$ which carries a surface charge density $$\sigma$$ on the northern hermisphere and $$-\sigma$$ on the southern hermisphere.

Due in
1 month, 1 week
Posted 3 months, 1 week ago by Lexus
Earn
15
Credits

Parabolic coordinates on a plane are defined as follows:$$x = \sigma \tau$$, $$y = \frac{1}{2}(\tau^2 - \sigma^2)$$.

How do I find the coordinate unit vectors $$\vec{e_{\sigma}}$$ and $$\vec{e_{\tau}}$$ and vector surface element?

Thanks!

Parabolic Coordinates

Parabolic coordinates on a plane are defined as follows:$$x = \sigma \tau$$, $$y = \frac{1}{2}(\tau^2 - \sigma^2)$$.

How do I find the coordinate unit vectors $$\vec{e_{\sigma}}$$ and $$\vec{e_{\tau}}$$ and vector surface element?

Thanks!

Due in
1 month, 1 week
Posted 1 year ago by Blondy
Earn
17
Credits

Find the central force resulting to a spiral orbit: $$r(\theta) = \alpha\theta^2-\beta$$ Use the orbit equation $$\frac{l^2u^2}{m}\left(\frac{d^2u}{d\theta^2}+u\right)=-f\left(\frac{1}{u}\right)$$ where $$u=1/r$$.

Central Force

Find the central force resulting to a spiral orbit: $$r(\theta) = \alpha\theta^2-\beta$$ Use the orbit equation $$\frac{l^2u^2}{m}\left(\frac{d^2u}{d\theta^2}+u\right)=-f\left(\frac{1}{u}\right)$$ where $$u=1/r$$.

Due in
1 month, 1 week
Posted 3 months, 1 week ago by fluidistic
Earn
28
Credits
Hello everyone. I've just have couple of questions regarding mechanisms design. I have a mechanism:

Mechanism Design
Hello everyone. I've just have couple of questions regarding mechanisms design. I have a mechanism:

Due in
1 month
Posted 2 years, 1 month ago by Monkey
Earn
14
Credits
Hello everyone. I've just have couple of questions regarding mechanisms design. I have a mechanism:

I can't understand how to set up vectors loops and loop closure equations. Could somebody help me with that?

Thanks,

Monkey.

Mechanism Design
Hello everyone. I've just have couple of questions regarding mechanisms design. I have a mechanism:

I can't understand how to set up vectors loops and loop closure equations. Could somebody help me with that?

Thanks,

Monkey.
Due in
1 month
Posted 1 year, 9 months ago by Monkey
Earn
6
Credits

Consider a double pendulum where a pendulum with mass $$m$$ is connected by a light string of length $$l$$ to another pendulum with mass $$\gamma m$$ that is connected by a light string of length $$l$$ to a rigid support. Determine $$\gamma$$ such that one of the normal frequencies of the double pendulum is equal to that of a simple pendulum with mass $$m$$ connected by light string with length $$l$$ to a rigid support.

Double Pendulum

Consider a double pendulum where a pendulum with mass $$m$$ is connected by a light string of length $$l$$ to another pendulum with mass $$\gamma m$$ that is connected by a light string of length $$l$$ to a rigid support. Determine $$\gamma$$ such that one of the normal frequencies of ...

Due in
1 month
Posted 3 months, 1 week ago by Cleaner
Earn
18
Credits

A \lq\lq pure \rq\rq dipole is located at the origin and is directed to the $$+z$$-axis. a)Calculate the force on a point charge $$q$$ at $$(0,a,0)$$. b)Calculate the force on $$q$$ if it is at $$(a,0,0)$$. c)Calculate the work needed to move $$q$$ from $$(0,a,0)$$ to $$(a,0,0)$$.

Force Due To A Dipole

A \lq\lq pure \rq\rq dipole is located at the origin and is directed to the $$+z$$-axis. a)Calculate the force on a point charge $$q$$ at $$(0,a,0)$$. b)Calculate the force on $$q$$ if it is at $$(a,0,0)$$. c)Calculate the work needed ...

Due in
1 month
Posted 3 months, 1 week ago by Cleaner
Earn
20
Credits

NaCl is diffusing at 18 C through a stagnant film of water 1 mm thick when the concentration are 20 and 10% (by weight) respectively on either side of the film. Can you calculate the flux $$N_A$$ of NaCl if densities of 20% and 10% solutions at 18 C are 1150 kg/m3, respectively. And $$D_{AB}=1.36\times 10^{-9}$$ $$m^2/s$$ at 18 C and about 3 kmol/m3 concentration.

Diffusion Problem

NaCl is diffusing at 18 C through a stagnant film of water 1 mm thick when the concentration are 20 and 10% (by weight) respectively on either side of the film. Can you calculate the flux $$N_A$$ of NaCl if densities of 20% and 10% solutions at 18 C are ...

Due in
3 weeks, 6 days
Posted 1 year, 1 month ago by Lexus
Question
SOLVED

Find the eigenvalues and the eigenvectors of matrix E. $$E=\left(\begin{array}{ccc}2&3&-2\\1&4&2\\0&1&3\end{array}\right)$$

Find the eigenvalues and the eigenvectors of matrix E. $$E=\left(\begin{array}{ccc}2&3&-2\\1&4&2\\0&1&3\end{array}\right)$$