Homework Answers
Crystallinity defines the degree of long-range order in a material, and strongly affects its properties. The more crystalline a polymer, the more regularly aligned its chains. Increasing the degree of crystallinity increases hardness and density.
Polymer crystallinity can be determined with DSC by quantifying the heat associated with melting (fusion) of the polymer. This heat is reported as Percent Crystallinity by normalizing the observed heat of fusion to that of a 100 % crystalline sample of the same polymer.
The specific enthalpy of fusion of a sample determined from the peak area is proportional to its degree of crystallinity. The proportionality factor, Δhc, is equal to the enthalpy of fusion of a 100% crystalline material. If the value is known, the degree of crystallinity can be determined from the melting curve.
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(4 points). How can a 1st order (i.e. 1st derivative) thermodynamic plot be used to determine...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
6) Plot a star that prompts the user to enter how many points the star has....
6) Plot a star that prompts the user to enter how many points the star has. Only worry about odd numbered points. Indicate to the user only odd numbers can be entered. Change the star line color to red.
1.3 Show how d In K/dT = AH/RT2 can be used to obtain a plot where...
1.3 Show how d In K/dT = AH/RT2 can be used to obtain a plot where In K vs 1/T will yield AH° and ASO. (4)
11. (10 points) Check to determine if a W14x159 used as a column can support an...
11. (10 points) Check to determine if a W14x159 used as a column can support an axial dead load of 250k and an axial live load of 1000k if the length of the column is 14 feet and the value of G for Joint A has been determined to be 0.8. Use the LRFD Design Method and assume that the columns are bending about their y axis as shown. (Hint: The answer is in the Manual) W14x159 Fixed Base at...
please explain how to do step 5 in matlab commands. med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >...
please explain how
to do step 5 in matlab commands.
med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >> plot (x,y), grid 9*x."2; + A plot over the interval I-3,3] reveals an apparent "flat section"' with no visible relati extrema. To produce a plot that reveals the true structure of the graph, we replot over the interval [-1,2]: >> x=linspace (-1,2); >> y= 4 * x. ^4-12*x.^3...
) Your band has just recorded 11 songs and is now going to release 8 of them as an album. 3. (4 points How many possible ways are there to choose and order 8 (out of the 11 recorded) songs for th...
) Your band has just recorded 11 songs and is now going to release 8 of them as an album. 3. (4 points How many possible ways are there to choose and order 8 (out of the 11 recorded) songs for the album? tion, your answer can be left in terms of factorials() but no combination or permution or Pp) is allowed. notation (i.e.
) Your band has just recorded 11 songs and is now going to release 8 of...
True or False/Short Answer Questions The ramp response of a 1st order system can be oscillating....
True or False/Short Answer Questions The ramp response of a 1st order system can be oscillating. Using the state space representation, the number of rows in the matrix B is equal to the number of outputs. Closed-Loop Control systems are insensitive to external disturbances. Two physically different systems must be modeled by two different transfer functions. For an LTI system, the time derivative of the unit impulse response is the unit ramp response. If a system has two real and...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u, v), for points within the 4-node element in u-v plane. Then, determine value of x and y for a point with (u, v)-(0.3,0.3). (10 points) b) Determine the value of Jacobian matrix, [J], and its determinant for such mapping...
Question 2: Rate of Dissolving (9 points) a.) A student wants to determine how long it...
Question 2: Rate of Dissolving (9 points) a.) A student wants to determine how long it takes to dissolve 51.3 g of common table salt (sodium chloride) in 1L of water by monitoring the solution. It takes 26.7 seconds for the salt to completely dissolve. Determine the rate of dissolution. (2 points) b.) Describe the rate constant expression if the reaction was first-order in NaCl. (2 points) c.) Write the equation that can be used to predict that change in...
3) For the beam shown, determine the deflection at points A and B, using superposition. 7,000 IN.m']. Show your work for full credit, i.e. specify what beams have been used rposition, and write a...
3) For the beam shown, determine the deflection at points A and B, using superposition. 7,000 IN.m']. Show your work for full credit, i.e. specify what beams have been used rposition, and write all the equations before plugging in the numbers (30 points) 3 m 4 kN 1.5 kN/m .T
3) For the beam shown, determine the deflection at points A and B, using superposition. 7,000 IN.m']. Show your work for full credit, i.e. specify what beams have been used...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
6) Plot a star that prompts the user to enter how many points the star has. Only worry about odd numbered points. Indicate to the user only odd numbers can be entered. Change the star line color to red.
1.3 Show how d In K/dT = AH/RT2 can be used to obtain a plot where In K vs 1/T will yield AH° and ASO. (4)
11. (10 points) Check to determine if a W14x159 used as a column can support an axial dead load of 250k and an axial live load of 1000k if the length of the column is 14 feet and the value of G for Joint A has been determined to be 0.8. Use the LRFD Design Method and assume that the columns are bending about their y axis as shown. (Hint: The answer is in the Manual) W14x159 Fixed Base at...
please explain how
to do step 5 in matlab commands.
med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >> plot (x,y), grid 9*x."2; + A plot over the interval I-3,3] reveals an apparent "flat section"' with no visible relati extrema. To produce a plot that reveals the true structure of the graph, we replot over the interval [-1,2]: >> x=linspace (-1,2); >> y= 4 * x. ^4-12*x.^3...
) Your band has just recorded 11 songs and is now going to release 8 of them as an album. 3. (4 points How many possible ways are there to choose and order 8 (out of the 11 recorded) songs for the album? tion, your answer can be left in terms of factorials() but no combination or permution or Pp) is allowed. notation (i.e.
) Your band has just recorded 11 songs and is now going to release 8 of...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u, v), for points within the 4-node element in u-v plane. Then, determine value of x and y for a point with (u, v)-(0.3,0.3). (10 points) b) Determine the value of Jacobian matrix, [J], and its determinant for such mapping...
3) For the beam shown, determine the deflection at points A and B, using superposition. 7,000 IN.m']. Show your work for full credit, i.e. specify what beams have been used rposition, and write all the equations before plugging in the numbers (30 points) 3 m 4 kN 1.5 kN/m .T
3) For the beam shown, determine the deflection at points A and B, using superposition. 7,000 IN.m']. Show your work for full credit, i.e. specify what beams have been used...
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