To prove: The entire system given can be represented as, [ x ˙ 1 ⋯ x ˙ 2 ] = [ A 1 ⋮ 0 ⋯ ⋯ ⋯ B 2 C 1 ⋮ A 2 ] [ x 1 ⋯ x 2 ] + [ B 1 ⋯ 0 ] r ; y 2 = [ 0 ⋮ C 2 ] [ x 1 ⋯ x 2 ] .

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Answer 1

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Chapter 5, Problem 40P

To determine

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

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Hints: Find the closed loop transfer function and then plot the step response for diFerentvalues of K in MATLAB. Show step response plot for different values of K. Auto Controls Show solutions and provide matlab code NO COPIED ANSWERS OR WILL REPORT!!!!

37. The vertical shaft shown in Figure P12-37 is driven at a speed of 600 rpm with 4.0 hp entering through the bevel gear. Each of the two chain sprockets delivers 2.0 hp to the side to drive mixer blades in a chemical reactor vessel. The bevel gear has a diametral pitch of 5, a pitch diameter of 9.000 in, a face width of 1.31 in, and a pressure angle of 20°. Use SAE 4140 OQT 1000 steel for the shaft. See Chapter 10 for the methods for computing the forces on the bevel gear. Figure P12-37: P37-Bevel gear drive with two chain sprockets Each problem includes the following details: ■Design the complete shaft, including the specification of the overall geometry and the consideration of stress con- centration factors. The analysis would show the minimum acceptable diameter at each point on the shaft to be safe from the standpoint of strength. Homework Problems 12-24, 12-35, and 12-37 from textbook, done in spreadsheet form. Place drawings of the load, shear, and bending moment body diagrams…

35. The double-reduction, helical gear reducer shown in Figure P12-35 transmits 5.0 hp. Shaft 1 is the input, rotating at 1800 rpm and receiving power directly from an electric motor through a flexible coupling. Shaft 2 rotates at 900 rpm. Shaft 3 is the output, rotating at 300 rpm. A chain sprocket is mounted on the output shaft as shown and delivers the power upward. The data for the gears are given in Table 12-5. Each gear has a 1412° normal pressure angle and a 45° helix angle. The combinations of left- and right-hand helixes are arranged so that the axial forces oppose each other on shaft 2 as shown. Use SAE 4140 OQT 1200 for the shafts. Figure P12-35: P35-Double-reduction helical drive Each problem includes the following details: ■Design the complete shaft, including the specification of the overall geometry and the consideration of stress con- centration factors. The analysis would show the minimum acceptable diameter at each point on the shaft to be safe from the standpoint of…

Answer 2

Question

Chapter 5, Problem 40P

To determine

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

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Answer 3

Question

Chapter 5, Problem 40P

To determine

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

Expert Solution & Answer

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Answer 4

Question

Chapter 5, Problem 40P

To determine

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

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Answer 5

Chapter 5, Problem 40P

To determine

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

Answer 6

Chapter 5, Problem 40P

To determine

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

Answer 7

Chapter 5, Problem 40P

To determine

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 5 - Prob. 1RQ Ch. 5 - Name three basic forms for interconnecting...Ch. 5 - For each of the forms in Question 2, state...Ch. 5 - Besides knowing the basic forms as discussed in...Ch. 5 - For a simple, second-order feedback control system...Ch. 5 - Prob. 6RQ Ch. 5 - Prob. 7RQ Ch. 5 - How are summing junctions shown on a signal-flow...Ch. 5 - If a forward path touched all closed loops, what...Ch. 5 - Name five representations of systems in state...

To prove: The entire system given can be represented as, [ x ˙ 1 ⋯ x ˙ 2 ] = [ A 1 ⋮ 0 ⋯ ⋯ ⋯ B 2 C 1 ⋮ A 2 ] [ x 1 ⋯ x 2 ] + [ B 1 ⋯ 0 ] r ; y 2 = [ 0 ⋮ C 2 ] [ x 1 ⋯ x 2 ] .

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To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

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Chapter 5 Solutions

To prove: The entire system given can be represented as, [ x ˙ 1 ⋯ x ˙ 2 ] = [ A 1 ⋮ 0 ⋯ ⋯ ⋯ B 2 C 1 ⋮ A 2 ] [ x 1 ⋯ x 2 ] + [ B 1 ⋯ 0 ] r ; y 2 = [ 0 ⋮ C 2 ] [ x 1 ⋯ x 2 ] .

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Videos

To prove: The entire system given can be represented as, [ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .

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Chapter 5 Solutions

To prove: The entire system given can be represented as,

[ x ˙ 1⋯ x ˙ 2]=[ A 1⋮0⋯⋯⋯ B 2 C 1⋮ A 2][ x 1⋯ x 2]+[ B 1⋯0]r; y2=[0⋮ C 2][ x 1⋯ x 2] .