A chandelier with mass mmm is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T1T1T_1 and makes an angle of θ1θ1theta_1 with the ceiling. Cable 2 has tension T2T2T_2 and makes an angle of θ2θ2theta_2 with the ceiling. Find an expression for T1T1T_1, the tension in cable 1, that does not depend on T2T2T_2. Express your answer in terms of some or all of the variables mmm, θ1θ1theta_1, and θ2θ2theta_2, as well as the magnitude of the acceleration due to gravity ggg. You must use parentheses around θ1θ1theta_1 and θ2θ2theta_2, when they are used as arguments to any trigonometric functions in your answer.

A chandelier with mass mmm is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T1T1T_1 and makes an angle of θ1θ1theta_1 with the ceiling. Cable 2 has tension T2T2T_2 and makes an angle of θ2θ2theta_2 with the ceiling. Find an expression for T1T1T_1, the tension in cable 1, that does not depend on T2T2T_2. Express your answer in terms of some or all of the variables mmm, θ1θ1theta_1, and θ2θ2theta_2, as well as the magnitude of the acceleration due to gravity ggg. You must use parentheses around θ1θ1theta_1 and θ2θ2theta_2, when they are used as arguments to any trigonometric functions in your answer.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 24P

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