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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**Fundamental.7: Equations of Motion**

Fundamental.7 focuses on the application of the equation of motion. It is crucial to use this equation to solve the problem presented. Solutions using other methods, such as conservation of energy, are not acceptable and will be deemed incorrect.

**Requirements for Solving Fundamental.7:**

- A detailed sketch of the system, highlighting:
  - The velocity and acceleration, along with the chosen frame of reference.
  - The forces acting on the system, represented by a free body diagram (FBD).

Failure to include these elements will render the solution incorrect.

**Problem Description:**

The diagram shows a pendulum system with a bob labeled \( B \). The system components are:

- The pendulum bob \( B \) weighs 5 lb.
- It is released from rest at an initial position where the angle \( \theta = 0^\circ \).

**Objective:**

Calculate the tension in the string \( BC \), which has a length \( r = 5 \) ft, at the moment the pendulum bob reaches point \( D \), where \( \theta = 7^\circ \).

**Diagram Explanation:**

- The diagram displays a bob \( B \) attached to a string. 
- The string is connected to a point \( C \), forming an angle \( \theta \) with the vertical.
- The bob swings along a circular arc.
- The angle \( \theta \) is initially \( 0^\circ \) and increases to \( 7^\circ \) at point \( D \).

Ensure to illustrate the described components when solving for the tension in \( BC \).
Transcribed Image Text:**Fundamental.7: Equations of Motion** Fundamental.7 focuses on the application of the equation of motion. It is crucial to use this equation to solve the problem presented. Solutions using other methods, such as conservation of energy, are not acceptable and will be deemed incorrect. **Requirements for Solving Fundamental.7:** - A detailed sketch of the system, highlighting: - The velocity and acceleration, along with the chosen frame of reference. - The forces acting on the system, represented by a free body diagram (FBD). Failure to include these elements will render the solution incorrect. **Problem Description:** The diagram shows a pendulum system with a bob labeled \( B \). The system components are: - The pendulum bob \( B \) weighs 5 lb. - It is released from rest at an initial position where the angle \( \theta = 0^\circ \). **Objective:** Calculate the tension in the string \( BC \), which has a length \( r = 5 \) ft, at the moment the pendulum bob reaches point \( D \), where \( \theta = 7^\circ \). **Diagram Explanation:** - The diagram displays a bob \( B \) attached to a string. - The string is connected to a point \( C \), forming an angle \( \theta \) with the vertical. - The bob swings along a circular arc. - The angle \( \theta \) is initially \( 0^\circ \) and increases to \( 7^\circ \) at point \( D \). Ensure to illustrate the described components when solving for the tension in \( BC \).
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