**Text:** You hang a light in front of your house using an elaborate system to keep the 1.6 kg light in static equilibrium (Figure 1). Rope 3 can be tied to the hook on the wall. Consider θ₂ = 37° and θ₃ = 0°. **Diagram Explanation:** In the figure, there is a system of ropes used to hang a weight labeled \( m \). This system consists of three ropes: 1. **Rope 1:** Attached vertically to the weight \( m \). 2. **Rope 2:** Extends from the weight at an angle \( θ₂ = 37° \) to the horizontal line. 3. **Rope 3:** Extends from the weight directly horizontally with an angle \( θ₃ = 0° \). The diagram displays the equilibrium setup with the angles and labels properly indicated. The weight is suspended such that it is in a state of static equilibrium, suggesting that the forces and tensions in the ropes are balanced.

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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Determine the magnitude of the force that rope 1 must exert on the knot connecting the three ropes. Determine the magnitude of the force that rope 2 must exert on the knot connecting the three ropes. Determine the magnitude of the force that rope 3 must exert on the knot connecting the three ropes
**Text:**

You hang a light in front of your house using an elaborate system to keep the 1.6 kg light in static equilibrium (Figure 1). Rope 3 can be tied to the hook on the wall. Consider θ₂ = 37° and θ₃ = 0°.

**Diagram Explanation:**

In the figure, there is a system of ropes used to hang a weight labeled \( m \). This system consists of three ropes:

1. **Rope 1:** Attached vertically to the weight \( m \).
2. **Rope 2:** Extends from the weight at an angle \( θ₂ = 37° \) to the horizontal line.
3. **Rope 3:** Extends from the weight directly horizontally with an angle \( θ₃ = 0° \).

The diagram displays the equilibrium setup with the angles and labels properly indicated. The weight is suspended such that it is in a state of static equilibrium, suggesting that the forces and tensions in the ropes are balanced.
Transcribed Image Text:**Text:** You hang a light in front of your house using an elaborate system to keep the 1.6 kg light in static equilibrium (Figure 1). Rope 3 can be tied to the hook on the wall. Consider θ₂ = 37° and θ₃ = 0°. **Diagram Explanation:** In the figure, there is a system of ropes used to hang a weight labeled \( m \). This system consists of three ropes: 1. **Rope 1:** Attached vertically to the weight \( m \). 2. **Rope 2:** Extends from the weight at an angle \( θ₂ = 37° \) to the horizontal line. 3. **Rope 3:** Extends from the weight directly horizontally with an angle \( θ₃ = 0° \). The diagram displays the equilibrium setup with the angles and labels properly indicated. The weight is suspended such that it is in a state of static equilibrium, suggesting that the forces and tensions in the ropes are balanced.
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