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A 3-meter-long 25 kg beam is supported by two cables as shown below. You can treat the beam as a slender rod. Assume we want the left end of the beam at A to remain as a constant height while the right end of the beam at B to accelerate upwards at a rate of 1 m/s². a) What is the rate of acceleration of the center of the beam and the rate of angular acceleration for the beam? b) What will T₁ and T₂ need to be to achieve these accelerations?

A 3-meter-long 25 kg beam is supported by two cables as shown below. You can treat the beam as a slender rod. Assume we want the left end of the beam at A to remain as a constant height while the right end of the beam at B to accelerate upwards at a rate of 1 m/s². a) What is the rate of acceleration of the center of the beam and the rate of angular acceleration for the beam? b) What will T₁ and T₂ need to be to achieve these accelerations?

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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A 3-meter-long 25 kg beam is supported by two cables as shown below. You can treat the beam as a slender rod. Assume we want the left end of the beam at A to remain as a constant height while the right end of the beam at B to accelerate upwards at a rate of 1 m/s². a) What is the rate of acceleration of the center of the beam and the rate of angular acceleration for the beam? b) What will T₁ and T₂ need to be to achieve these accelerations? A T₁ .5 m 1.5 m C T₂ (Solution: acy = 5 m/s², a = 333 rad/s², T₁ = 81.75 N, T₂ = 176 N) 1m B
Transcribed Image Text:A 3-meter-long 25 kg beam is supported by two cables as shown below. You can treat the beam as a slender rod. Assume we want the left end of the beam at A to remain as a constant height while the right end of the beam at B to accelerate upwards at a rate of 1 m/s². a) What is the rate of acceleration of the center of the beam and the rate of angular acceleration for the beam? b) What will T₁ and T₂ need to be to achieve these accelerations? A T₁ .5 m 1.5 m C T₂ (Solution: acy = 5 m/s², a = 333 rad/s², T₁ = 81.75 N, T₂ = 176 N) 1m B
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