**Title: Calculating Forces on a Diving Board with Two Supporting Pillars****Objective: To determine the magnitude and direction of the forces exerted by the supporting pillars on a diving board when a diver stands at its edge.****Problem Statement:**An 82-kg diver stands at the edge of a light 5.0-m diving board, which is supported by two vertical pillars that are 1.6 m apart, as illustrated in the figure below.**Figure Description:**- The diagram shows a horizontal diving board of length 5.0 meters.- Two vertical pillars, A and B, support the diving board. - The distance between the two support pillars is 1.6 meters.- Pillar A is positioned closer to the left end of the board, while pillar B is positioned 1.6 meters to the right of A.- A diver stands at the very right edge of the diving board, implying a distance of 5.0 meters from the left end of the board.**Tasks:**Find the magnitude and direction of the force exerted by each pillar.**Input Fields for Calculation:**- Force on A: ____ kN (upward or downward?)- Force on B: ____ kN (upward or downward?)**Explanation:**To solve this problem, you would typically apply the principles of static equilibrium, which state that the sum of all forces and the sum of all torques (moments) acting on the system must be zero. Here's the step-by-step approach to find the forces:1. **Identify Forces:** - Weight of the diver (W) acts downward at the far end of the board (82 kg × 9.81 m/s²). - Reaction forces at pillars A (F_A) and B (F_B), whose directions are to be determined.2. **Equilibrium Equations:** - Sum of vertical forces: \( F_A + F_B - W = 0 \) - Taking moments about one support (e.g., A): \( F_B \times 1.6m = W \times 5.0m \)3. **Solve for Forces:** - Calculate the weight \( W \) - Solve the moment equation to find \( F_B \) - Substitute \( F_B \) back into the force sum equation to find \( F_A \)By determining these forces, you

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1.6 m- - 5.0m B ind the magnitude and direction of the force exerted by each p orce on A KN orce on B KN

Physics for Scientists and Engineers, Technology Update (No access codes included)

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Author:Raymond A. Serway, John W. Jewett

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Chapter5: The Laws Of Motion

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The measure of the resistance of a fluid to flow is known as viscosity. Most fluids have some resistance to motion, the resistance provided by the fluid is called viscosity. This resistance is created by the force of attraction between the fluid molecules. If you pour water through a funnel, it flows easily and quickly, because it has very little resistance. But if you pour honey through a funnel, it may take a little time longer, as the density of honey is high.

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Forces that occur due to the movement of fluid are known as fluid mechanics. Following are the fluids present:

Question

**Title: Calculating Forces on a Diving Board with Two Supporting Pillars**

**Objective: To determine the magnitude and direction of the forces exerted by the supporting pillars on a diving board when a diver stands at its edge.**

**Problem Statement:**
An 82-kg diver stands at the edge of a light 5.0-m diving board, which is supported by two vertical pillars that are 1.6 m apart, as illustrated in the figure below.

**Figure Description:**
- The diagram shows a horizontal diving board of length 5.0 meters.
- Two vertical pillars, A and B, support the diving board.
- The distance between the two support pillars is 1.6 meters.
- Pillar A is positioned closer to the left end of the board, while pillar B is positioned 1.6 meters to the right of A.
- A diver stands at the very right edge of the diving board, implying a distance of 5.0 meters from the left end of the board.

**Tasks:**
Find the magnitude and direction of the force exerted by each pillar.

**Input Fields for Calculation:**
- Force on A: ____ kN (upward or downward?)
- Force on B: ____ kN (upward or downward?)

**Explanation:**

To solve this problem, you would typically apply the principles of static equilibrium, which state that the sum of all forces and the sum of all torques (moments) acting on the system must be zero. Here's the step-by-step approach to find the forces:

1. **Identify Forces:**
- Weight of the diver (W) acts downward at the far end of the board (82 kg × 9.81 m/s²).
- Reaction forces at pillars A (F_A) and B (F_B), whose directions are to be determined.

2. **Equilibrium Equations:**
- Sum of vertical forces: \( F_A + F_B - W = 0 \)
- Taking moments about one support (e.g., A): \( F_B \times 1.6m = W \times 5.0m \)

3. **Solve for Forces:**
- Calculate the weight \( W \)
- Solve the moment equation to find \( F_B \)
- Substitute \( F_B \) back into the force sum equation to find \( F_A \)

By determining these forces, you

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