**Part A**Determine the placement distance \( a \) of the roller support so that the largest absolute value of the moment is a minimum. ([Figure 1](#))Express your answer in terms of \( L \). Express your answer using three significant figures.\[ a = \boxed{\text{Answer here}} \]---**Figure Description:**The diagram illustrates a beam supported at two points: a pinned support at point \( A \), and a roller support at point \( B \). The beam is horizontally oriented.- The beam's total length is divided into two equal halves of \( \frac{L}{2} \) each.- Two vertical forces, each denoted as \( P \), are applied at the midpoints of these halves.- Point \( A \) is a fixed support at the left end of the beam.- Point \( B \) is a roller support, located at a variable distance \( a \) from point \( A \).The task is to determine the optimal placement distance \( a \) of the roller support \( B \) to minimize the largest absolute value of the moment along the beam.

Answered: Image /qna-images/answer/f46df51f-29b4-4b49-8167-6fb3e4b3cc87.jpg

Part A Determine the placement distance a of the roller support so that the largest absolute value of the moment is a minimum. (Figure 1) Express your answer in terms of L. Express your answer using three significant figures. IVol AEo It vec ? a = Figure 1 of 1 Submit Request Answer Provide Feedback Next > B.

Part A Determine the placement distance a of the roller support so that the largest absolute value of the moment is a minimum. (Figure 1) Express your answer in terms of L. Express your answer using three significant figures. IVol AEo It vec ? a = Figure 1 of 1 Submit Request Answer Provide Feedback Next > B.

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

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

**Part A**

Determine the placement distance \( a \) of the roller support so that the largest absolute value of the moment is a minimum. ([Figure 1](#))

Express your answer in terms of \( L \). Express your answer using three significant figures.

\[ a = \boxed{\text{Answer here}} \]

---

**Figure Description:**

The diagram illustrates a beam supported at two points: a pinned support at point \( A \), and a roller support at point \( B \). The beam is horizontally oriented.

- The beam's total length is divided into two equal halves of \( \frac{L}{2} \) each.
- Two vertical forces, each denoted as \( P \), are applied at the midpoints of these halves.
- Point \( A \) is a fixed support at the left end of the beam.
- Point \( B \) is a roller support, located at a variable distance \( a \) from point \( A \).

The task is to determine the optimal placement distance \( a \) of the roller support \( B \) to minimize the largest absolute value of the moment along the beam.

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