onsider an electrical motor with mass M = 117 kg located at the tip of a rigid beam pivoted at point A, with the other end supported by a spring and damper with stiffness, k = N/m and damper c = 23 kNs/m, as shown in the figure below. Assume that the rigid beam is massless, the length is L = 1.03 m (horizontal distance between point O and pivot and zero initial conditions. If there is an unbalanced mass of mo = 23.4 kg in the rotating part of the motor, eccentricity is e = 464.88 mm, and the rotor is rotating with a sp w 152 rad/s, determine the total amplitude response of point O in to = 0.005 s. Assume the line of actions of forces created by spring and damper act through point O, the ntre of electric motor. Also treat the electric mass as a point mass for calculating its moment of inertia about point A. A Total mass M Massless beam mo - wt

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
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Consider an electrical motor with mass M = 117 kg located at the tip of a rigid beam pivoted at point A, with the other end supported by a spring and damper with stiffness, k = 3
MN/m and damper c = 23 kNs/m, as shown in the figure below. Assume that the rigid beam is massless, the length is L = 1.03 m (horizontal distance between point O and pivot point
A), and zero initial conditions. If there is an unbalanced mass of mo = 23.4 kg in the rotating part of the motor, eccentricity is e = 464.88 mm, and the rotor is rotating with a speed
of w = 152 rad/s, determine the total amplitude response of point O in to = 0.005 s. Assume the line of actions of forces created by spring and damper act through point O, the
centre of electric motor. Also treat the electric mass as a point mass for calculating its moment of inertia about point A.
A
Total mass M
Massless beam
C
O
mo
wt
Transcribed Image Text:Consider an electrical motor with mass M = 117 kg located at the tip of a rigid beam pivoted at point A, with the other end supported by a spring and damper with stiffness, k = 3 MN/m and damper c = 23 kNs/m, as shown in the figure below. Assume that the rigid beam is massless, the length is L = 1.03 m (horizontal distance between point O and pivot point A), and zero initial conditions. If there is an unbalanced mass of mo = 23.4 kg in the rotating part of the motor, eccentricity is e = 464.88 mm, and the rotor is rotating with a speed of w = 152 rad/s, determine the total amplitude response of point O in to = 0.005 s. Assume the line of actions of forces created by spring and damper act through point O, the centre of electric motor. Also treat the electric mass as a point mass for calculating its moment of inertia about point A. A Total mass M Massless beam C O mo wt
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