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c#/vb.net excel,word,pdf component. ... Convert HTML String to PDF in C# · Save PDF ... Convert the PDF to word, HTML, SVG, XPS and save them to stream.

Example 25 The velocity of a vehicle in the body frame is measured to be vb = [50, 0, 0] m The attitude of the vehicle is ( , , ) = (0, 45, 90) deg s What is the instantaneous rate of change of the vehicle position in the local (geographic) tangent plane reference frame In this case, 0 1 0 g 0 707 Rb = 707 707 0 707 Therefore, the vehicle velocity relative to the tangent plane reference system is vg = [vn , ve , vd ] = [0, 3535, 3535] m s Once a sequence of rotations (in this case zyx) is speci ed, the rotation angle sequence to represent a given relative rotational orientation is unique except at points of singularity Note for example that for the zyx sequence of rotations, the rotational sequence [x]1 2 [x]3 yields the same orienta2 tion for any |x| This demonstrates that the zyx sequence of rotations is singular points at = These are the only points of singularity of 2 the zyx sequence of rotations

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The above zyx rotation sequence is not the only possibility Other rotation sequences are in use due to the fact that the singularities will occur at di erent locations The zyx sequence is used predominantly in this book In land or sea surface-vehicle applications the singular point (hopefully) does not occur In other applications, alternative Euler angle sequences may be used Also, singularity free parameterizations, such as the quaternion, o er attractive alternatives g When the matrix Rb is known, the Euler angles can be determined, for control or planning purposes, by the following equations = atan Rg [3, 1] b 1 (Rt [3, 1])2 b (245) (246) (247)

2 Suppose a coil of 250 H and capacitor of 100 pF are connected in series The frequency is 500 MHz What is the complex impedance (a) 0 + j467 (b) 25 + j100 (c) 0 j467 (d) 25 j100 3 When R = 0 in a series RLC circuit, but the net reactance is not zero, the impedance vector (a) always points straight up (b) always points straight down (c) always points straight toward the right (d) None of the above is correct 4 Suppose a resistor of 150 , a coil with a reactance of 100 , and a capacitor with a reactance of 200 are connected in series What is the complex impedance (a) 150 + j100 (b) 150 j200 (c) 100 j200 (d) 150 j100 5 Suppose a resistor of 330 , a coil of 100 H, and a capacitor of 200 pF are in series What is the complex impedance at 100 MHz (a) 330 j199 (b) 300 + j201 (c) 300 + j142 (d) 330 j168 6 Suppose a coil has an inductance of 300 H and a resistance of 100 in its winding A capacitor of 100 pF is in series with this coil What is the complex impedance at 100 MHz (a) 10 + j300 (b) 10 + j292 (c) 10 j97 (d) 10 + j348 7 Suppose a coil has a reactance of 400 What is the complex admittance, assuming there is nothing else is in the circuit (a) 0 + j025 (b) 0 + j400 (c) 0 j025 (d) 0 j400 8 What will happen to the susceptance of a capacitor if the frequency is doubled and all other factors remain constant (a) It will decrease to half its former value (b) It will not change

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