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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A 20-kg sign is held by two ropes as shown in the figure. What is the tension on rope 1?
![This diagram illustrates a system of forces involving two tension forces, T1 and T2, acting on a 20 kg mass suspended in equilibrium.
- **T1**: A horizontal tension force pulling to the right.
- **T2**: A tension force pulling at a 45-degree angle from the horizontal.
The block is suspended vertically, indicating that the net force in the vertical direction is zero, signifying equilibrium. The 20 kg mass is subject to gravitational force, which can be calculated as \( F = m \times g \), where \( g \approx 9.8 \, \text{m/s}^2 \).
### Key Points:
- **Angle**: The angle between T2 and the horizontal is 45 degrees.
- **Equilibrium**: The forces balance out in both horizontal and vertical components.
- **Objective**: Typically, one might solve for the magnitudes of T1 and T2 using trigonometric relationships and equilibrium conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F423beaa4-4e08-4fb8-84ca-e0c4caf1fbdf%2Fedbace52-9d53-4fd9-8626-e5a5ea671dd1%2Fdmruray_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This diagram illustrates a system of forces involving two tension forces, T1 and T2, acting on a 20 kg mass suspended in equilibrium.
- **T1**: A horizontal tension force pulling to the right.
- **T2**: A tension force pulling at a 45-degree angle from the horizontal.
The block is suspended vertically, indicating that the net force in the vertical direction is zero, signifying equilibrium. The 20 kg mass is subject to gravitational force, which can be calculated as \( F = m \times g \), where \( g \approx 9.8 \, \text{m/s}^2 \).
### Key Points:
- **Angle**: The angle between T2 and the horizontal is 45 degrees.
- **Equilibrium**: The forces balance out in both horizontal and vertical components.
- **Objective**: Typically, one might solve for the magnitudes of T1 and T2 using trigonometric relationships and equilibrium conditions.
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