After a mishap, a m=79 kg circus performer clings to a trapeze which is being pulled to the side by another circus artist as displayed in the figure. the left rope (with tension T1) is an angle theta 1=13 degrees to the vertical. The right rope (with tension T2) is an angle Theta 2= 16 degrees from the horizontal. Assume the person is momentarily motionless.Write an equation net horizontal force on the performer E fx in terms of the tensions T1 and T2 as well as the angles theta1 and theta 2. Let the right be the positive x direction.What is the sum of the forces in the y direction E Fy based on the tensions in ropes T1 and T2, the mass m of the circus performer, the acceleration due to gravity g, and the angles theta 1 and theta 2? Let up be the positive y direction. What is the value of the tension in rope 1 (T1) in newtons? What is the value of the tension in rope 2 (T2) in newtons? ### Force Analysis in DynamicsThis diagram illustrates a force analysis of a person hanging and being pulled up by another individual. The forces and angles involved are crucial for understanding the system's dynamics.#### Components:1. **Person Hanging (Left Side)**: - This person is hanging downward with the weight force denoted as **w**, acting vertically downward.2. **Tension Forces**: - **T₁**: This tension force acts upward and to the left along the rope. It forms an angle **θ₁** with the vertical line. - **T₂**: This tension force acts horizontally to the right along another rope. It forms an angle **θ₂** with the horizontal line.3. **Person Pulling (Right Side)**: - This person is on a platform and is pulling the rope to the right, influencing the force **T₂**.#### Explanation:In this scenario, the balance of forces is pivotal to maintain equilibrium. The angles **θ₁** and **θ₂** help in resolving the tension forces into their vertical and horizontal components. Understanding these components is essential for solving problems related to tension, equilibrium, and dynamics in mechanical systems or physics. Analyzing such diagrams aids in comprehending how forces interact in static and dynamic systems, essential for fields like physics, engineering, and biomechanics.

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Answered: After a mishap, a m=79 kg circus…

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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After a mishap, a m=79 kg circus performer clings to a trapeze which is being pulled to the side by another circus artist as displayed in the figure. the left rope (with tension T1) is an angle theta 1=13 degrees to the vertical. The right rope (with tension T2) is an angle Theta 2= 16 degrees from the horizontal. Assume the person is momentarily motionless.

Write an equation net horizontal force on the performer E fx in terms of the tensions T1 and T2 as well as the angles theta1 and theta 2. Let the right be the positive x direction.

What is the sum of the forces in the y direction E Fy based on the tensions in ropes T1 and T2, the mass m of the circus performer, the acceleration due to gravity g, and the angles theta 1 and theta 2? Let up be the positive y direction.

What is the value of the tension in rope 1 (T1) in newtons?

What is the value of the tension in rope 2 (T2) in newtons?