### Problem Statement:A box (M = 140 kg) is sitting on a 6.0 m light uniform board (with negligible mass). The board is supported by two pivots, one at each end. The box is sitting \( x = 1.6 \, \text{m} \) from the left side of the board as shown. What is the magnitude of the normal force produced by the pivot at the left end (\( n_A \)) measured in Newtons?### Diagram Explanation:The provided diagram depicts a horizontal board of length 6.0 meters. Here are the key elements seen in the diagram:1. **Board**: A light uniform bar with a length of 6.0 meters.2. **Box**: Represented with mass \( M \) (140 kg) located 1.6 meters from the left end of the board (\( x = 1.6 \, \text{m} \)).3. **Pivots**: Two pivots—one at each end of the board. - Pivot at the left end is labeled as **A**. - Pivot at the right end is labeled as **B**.4. **Normal Forces**: - Upward force due to the left pivot (\( n_A \)). - Upward force due to the right pivot (\( n_B \)).### Forces and Equilibrium Analysis:To find the normal force at the left end (\( n_A \)), use the equilibrium conditions:1. **Sum of Forces (Vertical Equilibrium)**:\[ n_A + n_B = M \times g \] - \( g \) is the acceleration due to gravity (\( 9.81 \, \text{m/s}^2 \)).2. **Sum of Torques (Rotational Equilibrium)** about the left pivot (A):\[ n_B \times 6.0 - M \times g \times 1.6 = 0 \] - Taking torques about point \( A \).Solving these equations will yield the values of the normal forces at each pivot.

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A box (M = 140 kg) is sitting on a 6.0 m light uniform board (with negligible mass). The board is supported by two pivots one at each end. The box is sitting x = 1.6 m from the left side of the board as shown. What is the magnitude of the normal force produced by the pivot at the left end (na) measured in Newtons? M -6.0 m- B

A box (M = 140 kg) is sitting on a 6.0 m light uniform board (with negligible mass). The board is supported by two pivots one at each end. The box is sitting x = 1.6 m from the left side of the board as shown. What is the magnitude of the normal force produced by the pivot at the left end (na) measured in Newtons? M -6.0 m- B

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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