Figure below shows the single degree of freedom control surface/actuator system. The control surface has a moment of inertia J = 656 kg.m2 about the hinge, the effective actuator stiffness and damping values are k= 6 MN/m and c = 106 kNs/m respectively and. the rotation of the control surface is e rad. The actuator lever arm has length a = 0.57 m. It is assumed that the main surface of the wing is fixed rigidly as shown in the figure. Assume that the system is hit by stone and hence move from rest position by an initial velocity of vo = 3.51 rad/s. Maximum amplitude response is: 0(t) d

Figure below shows the single degree of freedom control surface/actuator system. The control surface has a moment of inertia J = 656 kg.m2 about the hinge, the effective actuator stiffness and damping values are k= 6 MN/m and c = 106 kNs/m respectively and. the rotation of the control surface is e rad. The actuator lever arm has length a = 0.57 m. It is assumed that the main surface of the wing is fixed rigidly as shown in the figure. Assume that the system is hit by stone and hence move from rest position by an initial velocity of vo = 3.51 rad/s. Maximum amplitude response is: 0(t) d

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Figure below shows the single degree of freedom control surface/actuator system. The control surface has a moment of inertia J =
656 kg.m2 about the hinge, the effective actuator stiffness and damping values are k= 6 MN/m and c = 106 kNs/m respectively and
the rotation of the control surface is A rad. The actuator lever arm has length a = 0.57 m. It is assumed that the main surface of the
wing is fixed rigidly as shown in the figure. Assume that the system is hit by stone and hence move from rest position by an initial
velocity of vo = 3.51 rad/s. Maximum amplitude response is:
0(t)
k.
d
O 1.7 degrees
O 1.25 degrees
O 334 degrees
O 2.56 degrees
O 2.05 degrees

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The figure below shows a single degree of freedom control surface/actuator system. The control surface has a mass moment of inertia J = 30 kg.m2 about the hinge, the effective actuator stiffness and damping values are k = 3000 N/m and c = 500 Ns/m respectively and the rotation of the control surface is rad. The actuator lever arm has length a = 0.2 m. A force f (t) = 58 (t) N is applied to the control surface at a distance d = 1 m from the hinge. It is assumed that the main surface of the wing is fixed rigidly as shown in the figure. Assume small angle approximation. Determine the tip velocity (velocity at the location of f(t)) at t = 0.1 s 0(t) f(t) C 152.74 mm/s 499.47 mm/s 583.77 mm/s 400.63 mm/s 285.64 mm/s d