A uniform board of length L and weight W is suspended between two vertical walls by ropes of length L/2 each. When a weight w is placed on the left end of the board, it assumes the configuration shown in the figure below. Find the weight w in terms of the board weight W. L 35 60° L 9.2°

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Chapter1: Units, Trigonometry. And Vectors
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**PHYS 161 – Physics I Lab**

**Static Equilibrium**

A uniform board of length \( L \) and weight \( W \) is suspended between two vertical walls by ropes of length \( L/2 \) each. When a weight \( w \) is placed on the left end of the board, it assumes the configuration shown in the figure below. Find the weight \( w \) in terms of the board weight \( W \).

**Diagram Description:**

The diagram depicts a board of length \( L \) suspended horizontally. At each end, the board is supported by ropes of length \( L/2 \). The left rope makes a 35° angle with the vertical wall, while the right rope makes a 60° angle with its vertical wall. A weight \( w \) is placed on the left end of the board, causing the board to incline at an angle of 9.2° below the horizontal line.
Transcribed Image Text:**PHYS 161 – Physics I Lab** **Static Equilibrium** A uniform board of length \( L \) and weight \( W \) is suspended between two vertical walls by ropes of length \( L/2 \) each. When a weight \( w \) is placed on the left end of the board, it assumes the configuration shown in the figure below. Find the weight \( w \) in terms of the board weight \( W \). **Diagram Description:** The diagram depicts a board of length \( L \) suspended horizontally. At each end, the board is supported by ropes of length \( L/2 \). The left rope makes a 35° angle with the vertical wall, while the right rope makes a 60° angle with its vertical wall. A weight \( w \) is placed on the left end of the board, causing the board to incline at an angle of 9.2° below the horizontal line.
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