A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s2. During the process that the bar rotates from the horizontal position to the vertical position, determine the following. (1) if datum is set as when θ=90°, the gravational potential energy of the bar when AB is horizontal will be ____________(J) (two decimal places) A bar is attached to the spring at the point C. The left end of the bar is pin supported and canrotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar isLAB=3m and LAC-2m. Point A is 0.6 m below the ceiling. A clockwise constant couplemoment M= 30Nm is applied on the bar so that the bar rotates from the horizontal positionwith 8=0° to the vertical position with 0-90°. The spring always maintains at the verticalposition. The spring's stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. Theacceleration due to gravity g-9.81 m/s². During the process that the bar rotates from thehorizontal position to the vertical position, determine the following.(1) if datum is set as when 0-90°, the gravational potential energy of the bar when AB ishorizontal will be(J) (two decimal places)ABMState 1BquсBState 2B

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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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A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is L_AB=3m and L_AC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s². During the process that the bar rotates from the horizontal position to the vertical position, determine the following.

(1) if datum is set as when θ=90°, the gravational potential energy of the bar when AB is horizontal will be ____________(J) (two decimal places)

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