by assemb engineers can rotate in a vertical plane combined effect of gravity and a couple M od BC. Knowing that in the position shown, the ocity of the assembly is zero and the tension in equal to 25.0 N, determine; 300
by assemb engineers can rotate in a vertical plane combined effect of gravity and a couple M od BC. Knowing that in the position shown, the ocity of the assembly is zero and the tension in equal to 25.0 N, determine; 300
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![### Problem 1
A 2.25-kg slender rod \( AB \) and a 1.85-kg slender rod \( BC \) are connected by a pin at \( B \) and by the cord \( AC \). The assembly designed by [BLANK] engineers can rotate in a vertical plane under the combined effect of gravity and a couple \( M \) applied to rod \( BC \). Knowing that in the position shown, the angular velocity of the assembly is zero and the tension in cord \( AC \) is equal to 25.0 N, determine:
(a) the angular acceleration of the assembly
(b) the magnitude of the couple, \( M \)
#### Diagram Explanation
The accompanying diagram illustrates an assembly of two connected rods, \( AB \) and \( BC \):
- Rod \( AB \) is horizontally aligned and is connected to Rod \( BC \) at point \( B \).
- The rods form a triangular configuration with the cord \( AC \).
- The assembly is oriented in such a way that the cord \( AC \) forms an isosceles triangle with each side measuring 400 mm.
- The height from point \( A \) to point \( C \) is 300 mm.
- A couple \( M \) is applied perpendicular to rod \( BC \) at point \( B \), which is part of the assembly's dynamic analysis.
Equipped with these details, the goal is to determine the angular acceleration and the magnitude of the couple \( M \), given that the tension in the cord \( AC \) is 25.0 N.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7b1f94a-aeb1-4e21-a353-b14674dcbf02%2Fa766579c-e6ac-44ba-9705-aba419d1029c%2Fmz8b41_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem 1
A 2.25-kg slender rod \( AB \) and a 1.85-kg slender rod \( BC \) are connected by a pin at \( B \) and by the cord \( AC \). The assembly designed by [BLANK] engineers can rotate in a vertical plane under the combined effect of gravity and a couple \( M \) applied to rod \( BC \). Knowing that in the position shown, the angular velocity of the assembly is zero and the tension in cord \( AC \) is equal to 25.0 N, determine:
(a) the angular acceleration of the assembly
(b) the magnitude of the couple, \( M \)
#### Diagram Explanation
The accompanying diagram illustrates an assembly of two connected rods, \( AB \) and \( BC \):
- Rod \( AB \) is horizontally aligned and is connected to Rod \( BC \) at point \( B \).
- The rods form a triangular configuration with the cord \( AC \).
- The assembly is oriented in such a way that the cord \( AC \) forms an isosceles triangle with each side measuring 400 mm.
- The height from point \( A \) to point \( C \) is 300 mm.
- A couple \( M \) is applied perpendicular to rod \( BC \) at point \( B \), which is part of the assembly's dynamic analysis.
Equipped with these details, the goal is to determine the angular acceleration and the magnitude of the couple \( M \), given that the tension in the cord \( AC \) is 25.0 N.
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