Having trouble applying the rules for simplifying this block diagram. Please explain how to simplify. Thanks! **Simplify the following block diagram:**### Block Diagram Description:The diagram consists of a series of blocks connected with lines that indicate the flow of signals. - **Input and Output:** - Input: \( R(s) \) - Output: \( C(s) \)- **Blocks:** - There is a block with a transfer function of \( \frac{1}{s} \). - Another block has a transfer function of \( 2 \). - There is a block with a gain of 5. - Another block has a transfer function of \( 2s \).- **Summing Junctions:** - There is a summing junction with inputs \( R(s) - 5 \) and an output connected to the \( \frac{1}{s} \) block. - Another summing junction follows the \( \frac{1}{s} \) and 2 blocks, with their outputs added and then fed into the \( 2s \) block. - Negative feedback is provided from the output of the \( 2s \) block back to the summing junction just before it.### Options for Simplification:(a) \(\frac{C(s)}{R(s)} = \frac{2}{s^2 + 3s + 5}\)(b) \(\frac{C(s)}{R(s)} = \frac{2s}{3s + 5}\)(c) \(\frac{C(s)}{R(s)} = \frac{2s + 3}{s^2 + 3s + 5}\)(d) \(\frac{C(s)}{R(s)} = \frac{2s^2 + 2}{3s + 5}\)(e) None of the aboveChoose the correct simplification from the given options for the block diagram.

Given:To find:Simplify the block diagram and find the transfer function.

Answered: Simplify the following block diagram:

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Mechanical Engineering

Simplify the following block diagram:

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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Having trouble applying the rules for simplifying this block diagram. Please explain how to simplify. Thanks!

**Simplify the following block diagram:**

### Block Diagram Description:
The diagram consists of a series of blocks connected with lines that indicate the flow of signals.

- **Input and Output:**
- Input: \( R(s) \)
- Output: \( C(s) \)

- **Blocks:**
- There is a block with a transfer function of \( \frac{1}{s} \).
- Another block has a transfer function of \( 2 \).
- There is a block with a gain of 5.
- Another block has a transfer function of \( 2s \).

- **Summing Junctions:**
- There is a summing junction with inputs \( R(s) - 5 \) and an output connected to the \( \frac{1}{s} \) block.
- Another summing junction follows the \( \frac{1}{s} \) and 2 blocks, with their outputs added and then fed into the \( 2s \) block.
- Negative feedback is provided from the output of the \( 2s \) block back to the summing junction just before it.

### Options for Simplification:

(a) \(\frac{C(s)}{R(s)} = \frac{2}{s^2 + 3s + 5}\)

(b) \(\frac{C(s)}{R(s)} = \frac{2s}{3s + 5}\)

(c) \(\frac{C(s)}{R(s)} = \frac{2s + 3}{s^2 + 3s + 5}\)

(d) \(\frac{C(s)}{R(s)} = \frac{2s^2 + 2}{3s + 5}\)

(e) None of the above

Choose the correct simplification from the given options for the block diagram.

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