Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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**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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Transcribed Image Text:**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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