System Dynamics 3rd. Edition by William J. Palm III | 9780073398068 | 0073398063 | Holooly

Mechanics Dynamics

System Dynamics

322 SOLVED PROBLEMS

Question: 10.9.1

Consider the P, PI, and modified I control systems discussed in Examples 10.6.2, 10.6.3, and 10.6.4. The plant transfer function is 1/(I s+c), where I = 5 and c = 2. This plant can represent an inertia whose rotational velocity is the output and whose input is a torque. So the control systems are ...

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The transfer functions and parameters for these th...

Question: C.2.6

Consider the data of Example C.2.5. Determine the best-fit value of the coefficient b in the square-root function f = bh^½ (1) ...

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First obtain the flow rate data in ml/s by dividin...

Question: C.2.5

Consider again Example 1.4.2. A hole 6 mm in diameter was made in a translucent milk container (Figure 1.4.7). A series of marks 1 cm apart was made above the hole. While adjusting the tap flow to keep the water height constant, the time for the outflow to fill a 250 ml cup was measured ...

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First obtain the flow rate data in ml/s by dividin...

Question: C.2.4

Consider again Example 1.4.1. Water in a glass measuring cup was allowed to cool after being heated to 204°F. The ambient air temperature was 70°F. The measured water temperature at various times is given in the following table. ...

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From Example 1.4.1, we learned that the relative t...

Question: C.2.3

Use MATLAB to fit a straight line to the beam force-deflection data given in Example C.2.2, but constrain the line to pass through the origin. ...

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We can apply (C.1.3), noting here that the measure...

Question: C.2.2

The force-deflection data from Example 1.3.1 for the cantilever beam shown in Figure 1.3.1 is given in the following table. ...

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Note that here X is the dependent variable and f i...

Question: C.1.3

Fit the power function y = bx^m to the data yi . The value of m is known. ...

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The least-squares criterion is

J=\sum\limit...

Question: C.1.1

Find a functional description of the following data: ...

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These data do not lie close to a straight line whe...

Question: 10.10.2

The block diagram of a proportional control system was given in Figure 10.3.9 and is shown here in modified form as Figure 10.10.3. Create a Simulink model to investigate the effects of current saturation, using the parameter values given in Example 10.8.6 and a step-command input of magnitude ...

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To investigate the effects of current saturation w...

Question: 13.6.1

Suppose a particular nonlinear spring is described by (13.6.1) with k1 = 1400 N/m and k2 = 13000 N/m³. Determine its equivalent linear spring constant k for the two equilibrium positions corresponding to the following masses: a. m = 4 kg b. m = 14 kg In addition, find the linearized equations for ...

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The first step is to determine the equilibrium pos...

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