**Problem Statement: Motion Analysis Using Equations**Fundamental.9 addresses the equation of motion. It is mandatory to utilize the equation of motion for solving this problem. Solutions based on other methods (such as energy conservation) will be deemed incorrect.**Requirements for Problem Related to Fundamental.9:**1. **Diagrams Required:** - Depict the velocity and acceleration, alongside the reference frame used. - Present the forces exerted on the system using a free body diagram (FBD).Failure to include these will result in the solution being marked as false.**Given Scenario:**A uniform beam weighing 15 lb is initially at rest. - **Force \( F_A \):** Applied vertically at point A (left-hand side).- **Force \( F_B \):** Applied at point B (right-hand side) forms a 59° angle with the horizontal.**Diagram Description:**- A straight beam of 12 ft rests horizontally.- Force \( F_A \) is shown as an upward arrow at point A.- Force \( F_B \) is depicted at an angle θ = 59° to the horizontal at point B.**Objective:**Determine the forces \( F_A \) and \( F_B \) such that:- The beam has no angular acceleration.- The horizontal acceleration is one-third of the vertical acceleration.

Answered: Image /qna-images/answer/2f6d6c57-27b9-4d8d-b8af-f7dae4d579b5.jpg

Answered: Determine FA (answer in the cell below)…

Determine FA (answer in the cell below) and FB to make sure that: the beam has no angular acceleration its horizontal acceleration is 1-times smaller than its vertical acceleration

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

**Problem Statement: Motion Analysis Using Equations**

Fundamental.9 addresses the equation of motion. It is mandatory to utilize the equation of motion for solving this problem. Solutions based on other methods (such as energy conservation) will be deemed incorrect.

**Requirements for Problem Related to Fundamental.9:**

1. **Diagrams Required:**
- Depict the velocity and acceleration, alongside the reference frame used.
- Present the forces exerted on the system using a free body diagram (FBD).

Failure to include these will result in the solution being marked as false.

**Given Scenario:**

A uniform beam weighing 15 lb is initially at rest.
- **Force \( F_A \):** Applied vertically at point A (left-hand side).
- **Force \( F_B \):** Applied at point B (right-hand side) forms a 59° angle with the horizontal.

**Diagram Description:**

- A straight beam of 12 ft rests horizontally.
- Force \( F_A \) is shown as an upward arrow at point A.
- Force \( F_B \) is depicted at an angle θ = 59° to the horizontal at point B.

**Objective:**

Determine the forces \( F_A \) and \( F_B \) such that:

- The beam has no angular acceleration.
- The horizontal acceleration is one-third of the vertical acceleration.

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