The product of inertia of triangle (a) with respect to its centroid is I ¯ x y = b 2 h 2 / 72. What is I ¯ x y for triangles (b)-(d)? ( Hint : Investigate the signs in the expression I ¯ x y = I x y − A x ¯ y ¯ . )
The product of inertia of triangle (a) with respect to its centroid is I ¯ x y = b 2 h 2 / 72. What is I ¯ x y for triangles (b)-(d)? ( Hint : Investigate the signs in the expression I ¯ x y = I x y − A x ¯ y ¯ . )
Solution Summary: The author explains that the I xy for triangles is determined by the quadrant in which they lie. The terms in the formula have the same magnitudes, but will differ in sign.
The product of inertia of triangle (a) with respect to its centroid is
I
¯
x
y
=
b
2
h
2
/
72.
What is
I
¯
x
y
for triangles (b)-(d)? (Hint: Investigate the signs in the expression
I
¯
x
y
=
I
x
y
−
A
x
¯
y
¯
.
)
A beer still is being used to separate ethanol from water at 1.0 atm. The saturated liquid feed flow rate is F = 840.0 kmol/h. The feed is 44.0 mol% ethanol. The saturated vapor steam is pure water with ratio of steam flow rate S to feed rate, S/F = 2/3. We desire a bottoms product that is 4.0 mol% ethanol. CMO is valid.
Find the mole fraction of ethanol in the distillate vapor, yD,E.
Find the number of equilibrium stages required.
If the feed is unchanged and the S/F ratio is unchanged, but the number of stages is increased to a very large number, what is the lowest bottoms mole fraction of ethanol that can be obtained?
3.1 Convert the following base-2 numbers to base-10: (a) 1011001,
(b) 110.0101, and (c) 0.01011.
Consider the forces acting on the handle of the wrench in (Figure 1).
a)
Determine the moment of force F1={−F1={−2i+i+ 4 jj −−8k}lbk}lb about the zz axis.
Express your answer in pound-inches to three significant figures.
b)
Determine the moment of force F2={F2={3i+i+ 7 jj −−6k}lbk}lb about the zz axis.
Express your answer in pound-inches to three significant figures.
Chapter 9 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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