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Consider the slender rod of length L and mass m that rotates around the point O' in the vertical plane. Its center of mass is at point G. The rod is at rest and forms an angle of 0 with the horizon- tal when a winch is activated to raise the rod. At this instant, the tension (of magnitude T) in the horizontal rope joining the winch to point A causes an angular acceleration, a = Ö. Consider the weight of the rod and assume that the reaction force at point O' is of the form R = R1 + R22. Solve for the tension in the rope and the reaction force components, (T, Rx, Ry). (Hint: Apply E1L for the translation of the center of mass and E2L for the fixed-axis rotation. Make sure you consider the inertia of the slender rod about the rotation point O' not G).

Consider the slender rod of length L and mass m that rotates around the point O' in the vertical plane. Its center of mass is at point G. The rod is at rest and forms an angle of 0 with the horizon- tal when a winch is activated to raise the rod. At this instant, the tension (of magnitude T) in the horizontal rope joining the winch to point A causes an angular acceleration, a = Ö. Consider the weight of the rod and assume that the reaction force at point O' is of the form R = R1 + R22. Solve for the tension in the rope and the reaction force components, (T, Rx, Ry). (Hint: Apply E1L for the translation of the center of mass and E2L for the fixed-axis rotation. Make sure you consider the inertia of the slender rod about the rotation point O' not G).

Elements Of Electromagnetics
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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Consider the slender rod of length L and mass m that rotates around the point O' in the vertical plane. Its center of mass is at point G. The rod is at rest and forms an angle of 0 with the horizon- tal when a winch is activated to raise the rod. At this instant, the tension (of magnitude T) in the horizontal rope joining the winch to point A causes an angular acceleration, a = Ö. Consider the weight of the rod and assume that the reaction force at point O' is of the form R = Rxî1 + Ryî2. Solve for the tension in the rope and the reaction force components, (T, Rx, Ry). (Hint: Apply E1L for the translation of the center of mass and E2L for the fixed-axis rotation. Make sure you consider the inertia of the slender rod about the rotation point O' not G). Motion A o G L O' B Winch
Transcribed Image Text:Consider the slender rod of length L and mass m that rotates around the point O' in the vertical plane. Its center of mass is at point G. The rod is at rest and forms an angle of 0 with the horizon- tal when a winch is activated to raise the rod. At this instant, the tension (of magnitude T) in the horizontal rope joining the winch to point A causes an angular acceleration, a = Ö. Consider the weight of the rod and assume that the reaction force at point O' is of the form R = Rxî1 + Ryî2. Solve for the tension in the rope and the reaction force components, (T, Rx, Ry). (Hint: Apply E1L for the translation of the center of mass and E2L for the fixed-axis rotation. Make sure you consider the inertia of the slender rod about the rotation point O' not G). Motion A o G L O' B Winch
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