Answer:
Explanation:
A.)
You just pick values for x, y and z, then work out F for each case. Since you have four variables, the values for x, y and z in your table will be as follows:
w x y z
0 0 0 0
0 0 0 1
0 0 1 0
0 0 1 1
0 1 0 0
0 1 0 1
0 1 1 0
0 1 1 1
1 0 0 0
1 0 0 1
1 0 1 0
1 0 1 1
1 1 0 0
1 1 0 1
1 1 1 0
1 1 1 1
Now just work out F for each case. It would be helpful to add a few extra coloumns since that's a pretty big equation. Here's how I would do it (notice the titles of the columns. I've worked out the first two for you to help you understand)
w | x | y | z | xy'z | x?y?z | w?xy | wx?y | wxy | F
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1
B.)
Cheack attachment for table
C.)
F = xy'z + x'y'z + w'xy + wx'y + wxy
F = (x+x')(y'z) + w'xy + (x+x')(wy)
F = y'z + w'xy + wy
F = y'z + y(w'x + w)
F = y'z + y(w + x)
F = y'z + wy + xy
D)
Logic Circuits, Boolean Algebra, and Truth Tables
: Truth Tables
A truth table is a chart of 1s and 0s arranged to indicate the results (or outputs) of all possible inputs. The list of all possible inputs are arranged in columns on the left and the resulting outputs are listed in columns on the right. There are 2 to the power n possible states (or combination of inputs). For example with three inputs there are 2^3=8 possible combination of inputs. (Audio)
E)
: Logic Diagram
A logic diagram uses the pictoral description of logic gates in combination to represent a logic expression. An example below shows a logic diagram with three inputs (A, B, and C) and one output (Y). The interpretation of this will become clear in the following sections.
Answer:
Hello your question is incomplete here is the complete question and the attached is the required diagram and solution
Determine the equivalent state of stress on an element at the point which represents the principal stresses and the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown in the figure below. Suppose that ?x = 70 MPa . (Figure 1)
. a) Determine the orientation of principal planes of stress.
Answer : The orientation of principal planes of stress are : -11.6⁰ and 78.4⁰
Explanation:
Given data from the diagram
= - 15 MPA
α = 70 MPA
The Calculation of the principal stresses and the maximum in-plane shear stress are attached below
Answer:
Explanation:
From the question we are told that:
Thickness
Internal Pressure
Shear stress
Elastic modulus
Generally the equation for shear stress is mathematically given by
Where
r_i=internal Radius
Therefore
Generally
Generally the equation for outer diameter is mathematically given by
Therefore
Assuming that the thin cylinder is subjected to integral Pressure
Outer Diameter is
Answer:
Change in entropy is 0.8712 kJ/kgK
Given:
Initial Temperature, T = 320 K
Initial Pressure, P = 130 kPa
Final Pressure, P' = 438 kPa
Solution:
Here, a rigid tank is considered, therefore, the volume of the tank is constant and for a process at constant volume:
Pressur, P ∝ Temperature, T
Therefore,
Now, change in entropy is given by:
Therefore, change in entropy is 0.8712 kJ/kgK
Answer:
B
Explanation:
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