Must sketch free body diagram **Title: Solving Tension in Cables Using Translational Equilibrium****Problem Statement:**A system of cables is used to support a block as shown in Figure 2 below. Find the tension in the two cables \( T_1 \) and \( T_2 \) if the mass of the block \( m = 6.0 \, \text{kg} \) and the angle \( \theta = 37.0^\circ \). Neglect the mass of the cables.*(Hint: Use the conditions of translational equilibrium.)***Diagram Explanation:**In Figure 2, a block of mass \( m \) is suspended by two cables. Cable \( T_1 \) is positioned at an angle \( \theta \) with the horizontal ceiling and exerts tension in the direction of the cable. Cable \( T_2 \) is horizontal, exerting tension directly to the right.**Figure 2:**- The diagram shows a block suspended from a point where two cables meet.- \( T_1 \) is the tension in the left cable forming an angle \( \theta \) with the ceiling.- \( T_2 \) is the tension in the right cable, which is horizontal.- The block with mass \( m \) hangs directly downward from the point where the cables meet.**Concepts Involved:**- Translational equilibrium occurs when the sum of forces in any direction is zero.- The forces involved include gravitational force on the block (its weight) and tensions in the cables.**Steps to Solve:**1. **Resolve Forces:** - Consider the vertical and horizontal components of forces. 2. **Vertical Forces:** - The vertical component of \( T_1 \) (\( T_1 \sin \theta \)) balances the weight of the block (\( mg \)). - Equation: \( T_1 \sin \theta = mg \).3. **Horizontal Forces:** - The horizontal component of \( T_1 \) (\( T_1 \cos \theta \)) balances \( T_2 \). - Equation: \( T_1 \cos \theta = T_2 \).4. **Calculations:** - Use the equations to solve for \( T_1 \) and \( T_2 \).Understanding and applying these principles will allow you to find the tensions in the cables when

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A system of cables is used to support a block as shown in Figure 2 below. Find the tension in the two cables T₁ and T₂ if the mass of the block m = 6.0 kg and the angle 0 = 37.0°. Neglect the mass of the cables. (Hint: Use the conditions of translational equilibrium.) 0 T₁ Figure 2 m T₂

A system of cables is used to support a block as shown in Figure 2 below. Find the tension in the two cables T₁ and T₂ if the mass of the block m = 6.0 kg and the angle 0 = 37.0°. Neglect the mass of the cables. (Hint: Use the conditions of translational equilibrium.) 0 T₁ Figure 2 m T₂

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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