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Dafna1 [17]
3 years ago
8

Suppose that H1(s) and H2(s) are two strictly proper singleinput, single-output transfer functions with controllable statespace

realizations (A1, B1, C1) and (A2, B2, C2), respectively. Construct a state-space realization for the parallel interconnection H1(s) H2(s), and use the Popov-Belevitch-Hautus eigenvector test to show that the parallel realization is controllable if and only if A1 and A2 have no common eigenvalues.

Engineering
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

Explanation:

See attached files.

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Construct a Mohr circle for the stress element at A in problem 2. Using ruler and compass, draw the Mohr circle to the scale. Dr
serious [3.7K]

Answer:

hello your question is incomplete attached below is the missing diagram to the question and the detailed solution

Answer : principal stresses : 0.82 MPa, -33.492 MPa

              shear stress = 17.157 MPa

              ∅ = 9.09 ≈ 10°

Explanation:

The principal stress ( б1 ) = 0.82 MPa

                                 ( б2 ) = -33.492 MPa

The shear stress = 17.157 MPa

∅ = 9.09 ≈ 10°

attached below is the detailed solution and the Mohr's circle

7 0
3 years ago
When a tensile specimen is stretched in the plastic region to an engineering strain of 0.2, calculate the amount of cold work pe
Valentin [98]

Answer:

0.2 x 100

Explanation:

Engineering strain is the original crossection/original crossection

cold work percentage is

original crossection/original crossection x 100

4 0
2 years ago
What is heuristic function? give examples <br>​
zhuklara [117]
A heuristic function, is a function that calculates an approximate cost to a problem (or ranks alternatives). For example the problem might be finding the shortest driving distance to a point. A heuristic cost would be the straight line distance to the point
3 0
3 years ago
Shear plane angle and shear strain: In an orthogonal cutting operation, the tool has a rake angle = 16°. The chip thickness befo
Oduvanchick [21]

Answer:

shear plane angle Ф = 26.28°

shear strain 2.20

Explanation:

given data

angle = 16°

chip thickness t1 = 0.32 mm

cut yields chip thickness t2 = 0.72 mm

solution

we get here first chip thickness ratio that is

chip thickness ratio = \frac{t1}{t2}    ................. 1

put here value

chip thickness ratio  = \frac{0.32}{0.72}  

chip thickness ratio r = 0.45

so here shear angle will be Ф

tan Ф = \frac{r*cos\alpha }{1-rsin\alpha}   ............2

tan Ф = \frac{0.45*cos16 }{1-rsin16}  

tan Ф = 0.4938

Ф = 26.28°

and

now we get shear strain that is

shear strain r = cot Ф + tan (Ф - α )   ................3

shear strain r  = cot(26.28) + tan (26.28 - 16 )

shear strain r = 2.20

6 0
4 years ago
A capillary tube is immersed vertically in a water container. Knowing that water starts to evaporate when the pressure drops bel
Anuta_ua [19.1K]

Answer:

d=0.414\times 10^{-4}\ m

Explanation:

Given that

P = 4 KPa

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Surface tension = 1 N/m

Lets assume that atmospheric pressure = 100 KPa

Lets take that density of water =1000\ kg/m^3

So the capillarity rise h

h=\dfrac{\Delta P}{\rho g}

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We know that for capillarity rise h

h=\dfrac{2\sigma cos\theta }{r\rho g}

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r=\dfrac{2\times 1 cos4^{\circ} }{9.61\times 1000\times 10}

r=0.207\times 10^{-4}\ m

d=0.414\times 10^{-4}\ m

3 0
3 years ago
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