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{\bf EML 5060 \hfill Analysis in Mechanical Engineering \hfill Exam 2 }\\
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\item
The truss shown below does not experience nodal forces.
The weight of the bars is negligible.
What can you say about the forces $T_i$ in the bars?
According to statics,
$$T_1 - T_2 = 0$$
$$ c T_1 + c T_2 + T_4 = 0$$
$$ T_2 + 2 T_3 + 2c T_5 = 0$$
$$ 2 T_4 - T_5 - T_6 = 0$$
$$ T_5 - T_6 = 0$$
where $c=\cos(30)$.

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\item
I have a body in my windtunnel with an outside front surface area described by
$$3 x^2 + 2 xy + 3 y^2 + 6 z^2 = 3$$
I also have a laser positioned at a point P, (-10,0,0).
I direct the laser towards the body along the axis, so that it strikes
the nose at point Q, (-1,0,0).
Determine the angle of deflection of the laser beam when it strikes the
surface.  Hint: first find the unit normal to the surface at point Q.

\item
Describe the body of question 2.  Is it finite?  In what
direction are its principle axes?

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