The image contains two equations representing the equilibrium conditions of forces in a system.1. **ΣFₓ = T₁ cos(105°) + T₂ cos(10°) = 0** - This equation represents the sum of the horizontal components of forces in the x-direction. The forces T₁ and T₂ are resolved into their x-components using the cosine of their respective angles (105° and 10°). The sum of these components is set to zero, indicating equilibrium in the horizontal direction.2. **ΣFᵧ = T₁ sin(105°) + T₂ sin(10°) - mg = 0** - This equation represents the sum of the vertical components of forces in the y-direction. The forces T₁ and T₂ are resolved into their y-components using the sine of their respective angles (105° and 10°). The gravitational force (mg) is subtracted from the sum of these components, and the total is set to zero, indicating equilibrium in the vertical direction. **Problem 1: Rescue Scenario Analysis**A diagram shows a 69-kg person being rescued from a burning building. The person is being pulled by a firefighter using a rope at an angle. The figure includes the following elements:- The person is hanging vertically down with a weight force labeled as \( w \).- Two tensions, \( T_1 \) and \( T_2 \), are exerted through ropes from different angles: - \( T_1 \) is at an angle of 15° from the vertical. - \( T_2 \) is at an angle of 10° from the horizontal, as the firefighter pulls at the person.**Task:**Using the two equations derived from Newton's Second Law in Part 2, calculate the numeric values of the tensions \( T_1 \) and \( T_2 \).**Input Fields:**- \( T_1 = \) [Input Box] N- \( T_2 = \) [Input Box] N**Hint:**To find the tensions, you need to solve a system of linear equations.

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Description: The image contains two equations representing the equilibrium conditions of forces in a system.1. **ΣFₓ = T₁ cos(105°) + T₂ cos(10°) = 0** - This equation represents the sum of the horizontal components of forces in the x-direction. The forces T

Equilibrium is a position at which the body remains stable. At equilibrium the net force acting on…

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15° T₁ W T₂ J.10° A 69-kg person is being pulled away from a burning building as shown in the figure above. Using the two equations found using Newton's Second Law in Part 2, compute the numeric values of the tensions T₁ and T₂. T₁= N T₂= N Hint: You will have to solve a system of linear equations to compute the tensions.

15° T₁ W T₂ J.10° A 69-kg person is being pulled away from a burning building as shown in the figure above. Using the two equations found using Newton's Second Law in Part 2, compute the numeric values of the tensions T₁ and T₂. T₁= N T₂= N Hint: You will have to solve a system of linear equations to compute the tensions.

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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