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

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

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

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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