**Figure 1** shows a metal advertising sign of weight \( w \) suspended from the end of a horizontal rod of negligible mass and length \( L \). The end of the rod with the sign is supported by a cable at an angle \( \theta \) from the horizontal, and the other end is supported by a hinge at point \( P \). Using the idea that there is zero net torque about the end of the rod with the attached sign, find the vertical component of the force \( \vec{F}_{\text{hinge}} \) exerted by the hinge. ### Diagram ExplanationThe image shows a physics diagram involving a sign, "Caroline's Dino-Store," shaped like a dinosaur. This sign is supported by a horizontal beam attached to a wall.#### Key Components:1. **Horizontal Beam (L)**: - The beam is marked with the length \( L \). - It extends horizontally from the wall.2. **Wall Tether Point (P)**: - The position where the beam attaches to the wall is labeled \( P \).3. **Weight (w)**: - The weight of the dinosaur-shaped sign is represented by \( w \).4. **Supporting Cable**: - A cable or rod is angled above the beam. - It is attached to the wall, creating a triangle with the beam and wall.5. **Height (\( h \))**: - The vertical component from the point on the wall where the cable is attached to the beam is denoted as \( h \).6. **Angle (\( \theta \))**: - The angle formed by the cable with the horizontal beam is labeled \( \theta \).This setup likely serves as a demonstration of static equilibrium, where the torques and forces acting on the beam are balanced to hold the sign without rotation or movement.

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(Figure 1) shows a metal advertising sign of weight w suspended from the end of a horizontal rod of negligible mass and length L. The end of the rod with the sign is supported by a cable at an angle from the horizontal, and the other end is supported by a hinge at point P. Using the idea that there is zero net torque about the end of the rod with the attached sign, find the vertical component of the force Fhinge exerted by

(Figure 1) shows a metal advertising sign of weight w suspended from the end of a horizontal rod of negligible mass and length L. The end of the rod with the sign is supported by a cable at an angle from the horizontal, and the other end is supported by a hinge at point P. Using the idea that there is zero net torque about the end of the rod with the attached sign, find the vertical component of the force Fhinge exerted by

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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