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Mechanics Dynamics
System Dynamics
284 SOLVED PROBLEMS
Question: C.3.6
Consider the data of Example C.3.5. Determine the best-fit value of the coefficient b in the square-root function f = bh^1∕2 (1) ...
Verified Answer:
First obtain the flow rate data in ml/s by dividin...
Question: C.3.5
Consider again Example C.1.2. A hole 6 mm in diameter was made in a translucent milk container (Figure C.1.7). 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 ...
Verified Answer:
First obtain the flow rate data in ml/s by dividin...
Question: C.3.4
Consider again Example C.1.1.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. Obtain a functional description of the water temperature versus time. ...
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From Example C.1.1,we learned that the relative te...
Question: C.3.3
Use MATLAB to fit a straight line to the beam force-deflection data given in Example C.3.2, but constrain the line to pass through the origin. ...
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We can apply (C.2.3), noting here that the measure...
Question: C.3.2
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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Question: C.3.1
Use the polyfit function to find the first- and second-degree polynomials that fit the following data in the least-squares sense. Evaluate the quality of fit for each polynomial. ...
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Question: C.2.4
a. Fit the linear function y = mx to the power function y = ax^n over the range 0 ≤ x ≤ L. The values of a and n are given. b. Apply the result to the Aerobee drag function D=0.00056v² over the range 0≤v≤1000, discussed in Example 1.3.4. ...
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a. The appropriate least-squares criterion is the ...
Question: C.2.3
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_{i=1}...
Question: C.2.2
Consider the data given at the beginning of this section. ...
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Subtracting 10 from all the x values and 11 from a...
Question: C.2.1
Find a functional description of the following data: ...
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These data do not lie close to a straight line whe...
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