The homogeneous wire ABC is bent into a semicircular arc and a straight section as shown and is attached to a hinge at A. Determine the value of e (in degrees) for which the wire is in equilibrium for the indicated position. В Numeric Response
The homogeneous wire ABC is bent into a semicircular arc and a straight section as shown and is attached to a hinge at A. Determine the value of e (in degrees) for which the wire is in equilibrium for the indicated position. В Numeric Response
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Problem Statement:**
The homogeneous wire \( ABC \) is bent into a semicircular arc and a straight section as shown and is attached to a hinge at \( A \). Determine the value of \( \theta \) (in degrees) for which the wire is in equilibrium for the indicated position.
**Diagram Explanation:**
- The diagram illustrates a wire bent into a semicircular shape from points \( B \) to \( C \) and a straight section \( AB \).
- The semicircle has a radius labeled \( r \).
- Point \( A \) represents a hinge where the wire is attached.
- An angle \( \theta \) is marked between the straight section \( AB \) and a line from \( A \) to the center of the semicircle.
- There are two radii \( r \) drawn from point \( A \) to points on the semicircle.
**Response Section:**
Numeric Response: [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffc9e826-c865-4bea-8e1f-6dcccd31bfb0%2F4e7d1ee0-6930-4fb0-838d-ea3b23d90461%2Ftsk7rsp_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The homogeneous wire \( ABC \) is bent into a semicircular arc and a straight section as shown and is attached to a hinge at \( A \). Determine the value of \( \theta \) (in degrees) for which the wire is in equilibrium for the indicated position.
**Diagram Explanation:**
- The diagram illustrates a wire bent into a semicircular shape from points \( B \) to \( C \) and a straight section \( AB \).
- The semicircle has a radius labeled \( r \).
- Point \( A \) represents a hinge where the wire is attached.
- An angle \( \theta \) is marked between the straight section \( AB \) and a line from \( A \) to the center of the semicircle.
- There are two radii \( r \) drawn from point \( A \) to points on the semicircle.
**Response Section:**
Numeric Response: [Input box]
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Step 1 To sketch the schematic diagram of wire and to show the diagram divided into two parts:
VIEWStep 2 To determine the position of centroid of segment 1:
VIEWStep 3 To determine the position of centroid of segment 2:
VIEWStep 4 To determine the angle of inclination of the wire with the horizontal:
VIEW
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