Consider an electrical motor with mass M= 102 kg located at the tip of a rigid beam pivoted at point A, with the free end supported by a spring and damper with stiffness k =7 MN/m, and damping c= 33 KNs/m, as shown in the figure below. Assume that the rigid beam is massless, with a length of L= 1.04 m (horizontal distance between point O and pivot point A), and zero initial conditions. If there is an unbalanced mass of me= 20.40 kg in the rotating part of the motor, eccentricity is e = 324.99 mm, and the rotor is rotating with a speed of w= 249 rad/s, determine the total tip amplitude response of rigid beam, Le (), in t 0.007 s. Assume the lines of action of forces crealed by spring and damper act through point O, the centre of electric motor. Also treat the electric motor as a point mass when calculating its moment of inertia about point A. Also, suppose e L and hence moment of inertia of eolectric motor about point A as ML mea sin(ait) mo Total mass M Massless beam 25.48 mm 8281 mm 18.60 mm 13.05 mm O00O

Mechanics of Materials (MindTap Course List)
9th Edition
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Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
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Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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Consider an electrical motor with mass M= 102 kg located at the tip of a rigid beam pivoted at point A, with the free end supported by a spring and damper with stiffness
k=7 MN/m, and damping c = 33 KNs/m, as shown in the figure below. Assume that the rigid beam is massless, with a length of L= 1.04 m (horizontal distance
between point O and pivot point A), and zero initial conditions. If there is an unbalanced mass of mo 20.40 kg in the rotating part of the mator, eccentricity is e= 324.99
mm, and the rotor is rotating with a speed of w = 249 rad/s, determine the total tip amplitude response of rigid beam, L0 (t), in t= 0.007 s. Assume the lines of action of
forces crealed by spring and damper act through point O, the centre of electric motor. Also treat the electric motor as a point mass when calculating its moment of inertia
about point A. Also, suppose e L and hence moment of inertia of eolectric motor about point A as ML
myea sin(ait)
mo
Total mass M
Massless beam
25.48 mm
8281 mm
18.60 mm
13.05 mm
5198 mm
Transcribed Image Text:3 Consider an electrical motor with mass M= 102 kg located at the tip of a rigid beam pivoted at point A, with the free end supported by a spring and damper with stiffness k=7 MN/m, and damping c = 33 KNs/m, as shown in the figure below. Assume that the rigid beam is massless, with a length of L= 1.04 m (horizontal distance between point O and pivot point A), and zero initial conditions. If there is an unbalanced mass of mo 20.40 kg in the rotating part of the mator, eccentricity is e= 324.99 mm, and the rotor is rotating with a speed of w = 249 rad/s, determine the total tip amplitude response of rigid beam, L0 (t), in t= 0.007 s. Assume the lines of action of forces crealed by spring and damper act through point O, the centre of electric motor. Also treat the electric motor as a point mass when calculating its moment of inertia about point A. Also, suppose e L and hence moment of inertia of eolectric motor about point A as ML myea sin(ait) mo Total mass M Massless beam 25.48 mm 8281 mm 18.60 mm 13.05 mm 5198 mm
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