2. Suppose that a rigid airplane, with xz, in its plane of symmetry, uses a single...
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2. Suppose that a rigid airplane, with xz, in its plane of symmetry, uses a single propeller unit. The propeller's spin rate is @ with respect to the body and its moment of inertia about the spin axis is JR. Assuming that the spin axis is in the x-z plane of symmetry of as shown below, rewrite the three equations of motions for the rotational dynamics (given below) incorporating the rotor's angular momentum for the following cases: a) Both w, and a, are constants b) a, is constant, while o varies with time. c) Both @R and a, are time-varying (ignore inertial variation in J' and the vehicles moment of inertia including propeller, ie., assume J' remains constant) Zb Xb 1 = PJ m=QJ, n = RJ - RJ_+QR(J.-J,)-POJ + RP(J J)+(P R)J PJ_+PQ(J-J)+QRJ 2. Suppose that a rigid airplane, with xz, in its plane of symmetry, uses a single propeller unit. The propeller's spin rate is @ with respect to the body and its moment of inertia about the spin axis is JR. Assuming that the spin axis is in the x-z plane of symmetry of as shown below, rewrite the three equations of motions for the rotational dynamics (given below) incorporating the rotor's angular momentum for the following cases: a) Both w, and a, are constants b) a, is constant, while o varies with time. c) Both @R and a, are time-varying (ignore inertial variation in J' and the vehicles moment of inertia including propeller, ie., assume J' remains constant) Zb Xb 1 = PJ m=QJ, n = RJ - RJ_+QR(J.-J,)-POJ + RP(J J)+(P R)J PJ_+PQ(J-J)+QRJ
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Related Book For
University Physics with Modern Physics
ISBN: 978-0133977981
14th edition
Authors: Hugh D. Young, Roger A. Freedman
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