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A 25.0 kg mass (m) at rest is suspended by massless cables as shown in the figure. With angle 0₂ = 30°, find the tensions T₁ and T₂ in the cables. [Take acceleration due to gravity, g = 10.0 m/s²]. T₁ m T. 0₂

A 25.0 kg mass (m) at rest is suspended by massless cables as shown in the figure. With angle 0₂ = 30°, find the tensions T₁ and T₂ in the cables. [Take acceleration due to gravity, g = 10.0 m/s²]. T₁ m T. 0₂

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**Problem Statement:** A 25.0 kg mass (\(m\)) at rest is suspended by massless cables as shown in the figure. With angle \(\theta_2 = 30^\circ\), find the tensions \(T_1\) and \(T_2\) in the cables. [Take acceleration due to gravity, \(g = 10.0 \, \text{m/s}^2\)]. **Diagram Explanation:** - The diagram depicts a mass (\(m\)) hanging from two cables. - Cable 1 is horizontal and exerts a tension, \(T_1\), towards the left. - Cable 2 is inclined at an angle \(\theta_2 = 30^\circ\) from the horizontal and exerts a tension, \(T_2\), upwards to the right. - The mass \(m = 25.0 \, \text{kg}\) is shown at the junction of these two cables, directly below the point where they meet. The problem requires solving for the tensions \(T_1\) and \(T_2\) in the cables while considering the gravitational force acting on the mass.
Transcribed Image Text:**Problem Statement:** A 25.0 kg mass (\(m\)) at rest is suspended by massless cables as shown in the figure. With angle \(\theta_2 = 30^\circ\), find the tensions \(T_1\) and \(T_2\) in the cables. [Take acceleration due to gravity, \(g = 10.0 \, \text{m/s}^2\)]. **Diagram Explanation:** - The diagram depicts a mass (\(m\)) hanging from two cables. - Cable 1 is horizontal and exerts a tension, \(T_1\), towards the left. - Cable 2 is inclined at an angle \(\theta_2 = 30^\circ\) from the horizontal and exerts a tension, \(T_2\), upwards to the right. - The mass \(m = 25.0 \, \text{kg}\) is shown at the junction of these two cables, directly below the point where they meet. The problem requires solving for the tensions \(T_1\) and \(T_2\) in the cables while considering the gravitational force acting on the mass.
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