HELP: Conservation of EnergyWatch

Announcements
#1
Seeking help here I'm revising for my Continua finals this friday, and I am extremely weak in this area.... Encountered this Conservation of Energy problem and I hope someone may be able to help me before doomsday this Friday
-----------------------
A small block of rubber, dimensions L1, L2 and L3, is sandwiched between two electrodes. This rubber is subjected to external forces F1, F2 and F3 and a voltage V. See figure below.

The forces produce displacements d1, d2, d3 respectively, and charge Q is deposited on the electrodes due to the voltage.

The total energy density in the rubber may be written as a function
$W=\left ( \varepsilon 1,\varepsilon 2,\varepsilon 3, D \right )$,
where $\varepsilon 1=\frac{d1}{L1}, \varepsilon 2=\frac{d2}{L2},\varepsilon 3=\frac{d3}{L3}, D=\frac{Q}{L1\times L2}$.

Assuming the thermal energy remains constant, what is the energy balance equation for this system?

What is the relationship between F1, F2, F3, V and the energy density W?

Given that $W=\frac{k}{2} [ \left ((\varepsilon 1)+1 \right )^{2}+ ((\varepsilon 2)+1 )^{2}+((\varepsilon 3)+1) \right )^{2}-3 ]+\frac{D^{2}}{2\beta }((\varepsilon 3)+1)^{2}$
where k and $\beta$ are constants,
obtain explicit relations between the work conjugates.
-----------

I'm overwhelmed by the question!!! Help me please!
0
#2
0
X

new posts
Latest
My Feed

Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

University open days

• SOAS University of London
Wed, 29 May '19
• University of Exeter
Thu, 30 May '19
• Cranfield University
Cranfield Forensic MSc Programme Open Day Postgraduate
Fri, 31 May '19

Poll

Join the discussion

Loved the paper - Feeling positive (199)
22.49%
The paper was reasonable (402)
45.42%
Not feeling great about that exam... (165)
18.64%
It was TERRIBLE (119)
13.45%