# Physics Problem: Ladder and Forces### Problem Statement:A stepladder of negligible weight is constructed as shown in the figure below, with \( AC = BC = \ell = 3.60 \, \text{m} \). A painter of mass \( m = 69.0 \, \text{kg} \) stands on the ladder \( d = 3.00 \, \text{m} \) from the bottom.---### Diagram Description:The diagram depicts a symmetrical stepladder with two sides labeled \( A \) and \( B \) at the base. The ladder consists of two sides, \( AC \) and \( BC \), each of length \(\ell = 3.60 \, \text{m}\) and joined at the top by a hinge \( C \). A horizontal bar \( DE \) connects the middle of the ladder to provide stability. The painter stands on side \( AC \) at a distance \( d = 3.00 \, \text{m} \) from the bottom. The ladder rests on a floor which is assumed to be frictionless.### Tasks:Assuming the floor is frictionless, find the following quantities. *(Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.)*1. **(a)** The tension in the horizontal bar \( DE \) connecting the two halves of the ladder: - **Answer:** \[ \Box \, \text{N} \]2. **(b)** The normal forces at \( A \) and \( B \): - At \( A \): \[ \Box \, \text{N} \] - At \( B \): \[ \Box \, \text{N} \]3. **(c)** The components of the reaction force at the single hinge \( C \) that the left half of the ladder exerts on the right half: - Rightward component: \[ \Box \, \text{N} \] - Upward component: \[ \Box \, \text{N} \]---### Explanation for Graph/Diagrams:The diagram features a stepladder modeled as a pair of equal legs hinged at the top with a crossbar for stability. Several measurements and forces are labeled, which are critical for solving the mechanical equilibrium conditions such as determining

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A stepladder of negligible weight is constructed as shown in the figure below, with AC = BC = { = 3.60 m. A painter of mass m = 69.0 kg stands on the ladder d = 3.00 m from the bottom D. B Assuming the floor is frictionless, find the following. (Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.) (a) the tension in the horizontal bar DE connecting the two halves of the ladder (b) the normal forces at A and B at A N at B (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half rightward component upward component

A stepladder of negligible weight is constructed as shown in the figure below, with AC = BC = { = 3.60 m. A painter of mass m = 69.0 kg stands on the ladder d = 3.00 m from the bottom D. B Assuming the floor is frictionless, find the following. (Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.) (a) the tension in the horizontal bar DE connecting the two halves of the ladder (b) the normal forces at A and B at A N at B (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half rightward component upward component

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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