**Problem 1:**The illustration presents a scenario where a safe with mass \( M = 450 \, \text{kg} \) is suspended by a massless rope. This rope hangs from a frame composed of a uniform hinged beam \( (m = 80 \, \text{kg}) \) and a horizontal cable of negligible mass. The frame has a known side \( a = 2.0 \, \text{m} \) and an unknown side \( b \).The reaction force at the hinge is measured to be \( R = 7810 \, \text{N} \), directed upward and to the right. The task is to determine the length of side \( b \).To find \( b \), apply the concepts of equilibrium as discussed in Chapter 11. Trigonometry and the angle \( \theta \) are not to be used in deriving the value of \( b \).**Diagram Explanation:**- **Hinge Position:** A vertical support is shown on the left with the hinge at its base.- **Beam:** Diagonally positioned from the hinge, indicating the center of mass.- **Cable:** Extends horizontally from the vertical support to the upper end of the beam.- **Rope:** Hangs vertically from the beam's end, suspending the safe.- **Dimensions:** - \( a \) is defined as the vertical side from the hinge to the top of the support. - \( b \) represents the horizontal reach from the support to the beam's end where the cable is attached.- **Forces and Angles:** - The reaction force \( R \) at the hinge and angle \( \theta \) where the cable meets the diagonal beam are illustrated.This problem involves analyzing forces and equilibrium without utilizing certain mathematical tools, encouraging a deeper understanding of mechanical concepts.

The three conditions for equilibrium are, 1. Net torque should be zero. Στ=0 2. Net forces in the…

Problem 1: The figure below shows a safe of mass M = 450 kg hanging by a negligible mass rope hanging from a frame that consists of a uniform hinged beam (m = 80 kg) and a horizontal cable of negligible mass. The frame has a side a = 2.0 m and a sideb of unknown value. The reaction force at the hinge has a magnitude of R = 7810 N (pointing up and to the right). Find the value of the length of side b. You must solve this problem by using the concepts of equilibrium covered in chapter 11. Do not use trigonometry or the value of the angle e to find the value of b. Cable Beam com Rope Hinge M

Problem 1: The figure below shows a safe of mass M = 450 kg hanging by a negligible mass rope hanging from a frame that consists of a uniform hinged beam (m = 80 kg) and a horizontal cable of negligible mass. The frame has a side a = 2.0 m and a sideb of unknown value. The reaction force at the hinge has a magnitude of R = 7810 N (pointing up and to the right). Find the value of the length of side b. You must solve this problem by using the concepts of equilibrium covered in chapter 11. Do not use trigonometry or the value of the angle e to find the value of b. Cable Beam com Rope Hinge M

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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