Q 4 **Physics Problem: Support Beam Analysis Outside of a Diner****Scenario:**Outside of a diner, you notice a precarious 10 kg sign hanging above the entrance, supported by a 12 kg, 0.9 m long support beam. The beam is attached to the sign at one end, and a cable two-thirds of the way along the beam.**Tasks:**1. Draw a *complete* rigid body diagram for the support beam.2. Determine the tension in the cable and the magnitude of force at the wall.**Diagram Explanation:**The diagram features the following components:- A vertical brick wall on the left side.- A diagonal support beam extending from the wall to the right, making a 40° angle with the horizontal ground.- A cable connected from two-thirds along the beam to the wall, providing support.- A circular sign labeled "Mom's Diner" hanging vertically from the far end of the beam.### Task 1: Rigid Body DiagramTo draw the rigid body diagram:1. Identify all forces acting on the beam: - Weight of the beam (W_beam = m_beam * g), acting at its center of gravity (midpoint). - Weight of the sign (W_sign = m_sign * g), acting at the far end where the sign is attached. - Tension in the cable (T), pulling upwards at the point where the cable is attached to the beam. - Reaction forces at the wall (vertical and horizontal components: R_vertical and R_horizontal).2. Represent the beam as a straight line, marking: - Points of force application. - Directions of each force.### Task 2: Calculations#### Determine the Tension in the Cable:Given:- Weight of the sign, W_sign = 10 kg * 9.8 m/s² = 98 N.- Weight of the beam, W_beam = 12 kg * 9.8 m/s² = 117.6 N.- Length of the beam, L = 0.9 m.Using static equilibrium conditions:1. Sum of forces in the vertical direction: - \( R_{\text{vertical}} + T \sin(40^\circ) = W_{\text{beam}} + W_{\text{sign}} \)2. Sum of forces in the horizontal direction: - \( R_{\text{horizontal}} = T

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Outside of a diner you notice a precarious 10 kg sign hanging above the entrance, supported by a 12 kg, 0.9 m long support beam. The beam is attached to the sign at one end, and a cable two-thirds of the way along the beam. 1. Draw a complete rigid body diagram for the support beam. 2. Determine the tension in the cable and the magnitude of force at the wall.

Outside of a diner you notice a precarious 10 kg sign hanging above the entrance, supported by a 12 kg, 0.9 m long support beam. The beam is attached to the sign at one end, and a cable two-thirds of the way along the beam. 1. Draw a complete rigid body diagram for the support beam. 2. Determine the tension in the cable and the magnitude of force at the wall.

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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