### Problem 3 (fixed axis, multi-body, external load)#### Problem DescriptionAnother engineering gizmo includes two identical slender rods \( AB \) and \( BC \) (\( L_{AB} = L_{BC} = 0.5 \, \text{m} \), \( m_{AB} = m_{BC} = 10 \, \text{kg} \)) connected by a pin at \( B \) and by the inextensible, massless cord \( AC \). The angle between the rods is \( \theta = 120^\circ \). The assembly rotates in a vertical plane under the combined effect of gravity and a \( M = 100 \, \text{N} \cdot \text{m} \) couple applied to rod \( AB \). In the position shown, the angular velocity of the assembly is zero.#### Determine:a) The angular acceleration of the assembly.b) The tension in cord \( AC \).#### Diagram DescriptionThe diagram accompanying the text shows a configuration consisting of two slender rods, \( AB \) and \( BC \), connected at point \( B \). Rod \( AB \) is horizontal, and rod \( BC \) forms an angle \( \theta \) of \( 120^\circ \) with rod \( AB \). The lengths \( L_{AB} \) and \( L_{BC} \) of the rods are both given as \( 0.5 \, \text{m} \). There is a tensile cord \( AC \) linking point \( C \) on rod \( BC \) to point \( A \) on rod \( AB \).#### Diagram Elements:- **Rod \( AB \):** Shown horizontally with length \( L_{AB} = 0.5 \, \text{m} \).- **Rod \( BC \):** Forms an angle \( \theta = 120^\circ \) with rod \( AB \) and has the same length \( L_{BC} = 0.5 \, \text{m} \).- **Cord \( AC \):** Inextensible and massless, forming a triangle with rods \( AB \) and \( BC \).- There is a point of pin connection at \( B \).- The applied couple moment \( M = 100 \, \text{N} \cdot \text{m} \)

Answered: Image /qna-images/answer/92b39531-6ecf-437d-acab-eb372dd5bad8.jpg

Problem 3 (fixed axis, multi-body, external load) Another gizmo includes two identical slender rods AB and BC (LAB = LBC = 0.5 m, mAB = MBC = 10 kg) connected by a pin at B and by the inextensible, massless cord AC. The angle between the rods is = 120°. The assembly rotates in a vertical plane under the combined effect of gravity and a M = 100 N. m couple applied to rod AB. In the position shown the angular velocity of the assembly is zero. Determine: a) the angular acceleration of the assembly, b) the tension in cord AC. M LAB B LBC

Problem 3 (fixed axis, multi-body, external load) Another gizmo includes two identical slender rods AB and BC (LAB = LBC = 0.5 m, mAB = MBC = 10 kg) connected by a pin at B and by the inextensible, massless cord AC. The angle between the rods is = 120°. The assembly rotates in a vertical plane under the combined effect of gravity and a M = 100 N. m couple applied to rod AB. In the position shown the angular velocity of the assembly is zero. Determine: a) the angular acceleration of the assembly, b) the tension in cord AC. M LAB B LBC

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

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

### Problem 3 (fixed axis, multi-body, external load)

#### Problem Description

Another engineering gizmo includes two identical slender rods \( AB \) and \( BC \) (\( L_{AB} = L_{BC} = 0.5 \, \text{m} \), \( m_{AB} = m_{BC} = 10 \, \text{kg} \)) connected by a pin at \( B \) and by the inextensible, massless cord \( AC \). The angle between the rods is \( \theta = 120^\circ \). The assembly rotates in a vertical plane under the combined effect of gravity and a \( M = 100 \, \text{N} \cdot \text{m} \) couple applied to rod \( AB \). In the position shown, the angular velocity of the assembly is zero.

#### Determine:

a) The angular acceleration of the assembly.
b) The tension in cord \( AC \).

#### Diagram Description

The diagram accompanying the text shows a configuration consisting of two slender rods, \( AB \) and \( BC \), connected at point \( B \). Rod \( AB \) is horizontal, and rod \( BC \) forms an angle \( \theta \) of \( 120^\circ \) with rod \( AB \). The lengths \( L_{AB} \) and \( L_{BC} \) of the rods are both given as \( 0.5 \, \text{m} \). There is a tensile cord \( AC \) linking point \( C \) on rod \( BC \) to point \( A \) on rod \( AB \).

#### Diagram Elements:

- **Rod \( AB \):** Shown horizontally with length \( L_{AB} = 0.5 \, \text{m} \).
- **Rod \( BC \):** Forms an angle \( \theta = 120^\circ \) with rod \( AB \) and has the same length \( L_{BC} = 0.5 \, \text{m} \).
- **Cord \( AC \):** Inextensible and massless, forming a triangle with rods \( AB \) and \( BC \).
- There is a point of pin connection at \( B \).
- The applied couple moment \( M = 100 \, \text{N} \cdot \text{m} \)

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