In the figure below, the mass the body is 10.0 kg, and F1=30.0 N, F2 = 20.0 N and F3 = 50.0 N. The angles θ1 = 32o and θ2 = 41o. If the mass was initially at rest, which direction will it start moving? What is the direction of the net force? If the mass is initially moving along the positive y-axis, what is the effect of the acceleration on its speed and direction?
In the figure below, the mass the body is 10.0 kg, and F1=30.0 N, F2 = 20.0 N and F3 = 50.0 N. The angles θ1 = 32o and θ2 = 41o. If the mass was initially at rest, which direction will it start moving? What is the direction of the net force? If the mass is initially moving along the positive y-axis, what is the effect of the acceleration on its speed and direction?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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In the figure below, the mass the body is 10.0 kg, and F1=30.0 N, F2 = 20.0 N and F3 = 50.0 N. The angles θ1 = 32o and θ2 = 41o.
If the mass was initially at rest, which direction will it start moving? What is the direction of the net force?
If the mass is initially moving along the positive y-axis, what is the effect of the acceleration on its speed and direction?
Transcribed Image Text:The diagram illustrates a system involving three forces acting on a mass \( m \) positioned at the origin of a coordinate plane.
- **Forces and Directions:**
- \( \vec{F}_1 \) is a force vector pointing at an angle \( \theta_1 \) above the positive x-axis.
- \( \vec{F}_2 \) is a force vector pointing downward and to the right, forming an angle \( \theta_2 \) with the negative y-axis.
- \( \vec{F}_3 \) is a force vector pointing horizontally to the left along the negative x-axis.
- **Coordinate Axes:**
- The x-axis is oriented horizontally.
- The y-axis is oriented vertically.
- **Angles:**
- \( \theta_1 \) is the angle between \( \vec{F}_1 \) and the positive x-axis.
- \( \theta_2 \) is the angle between \( \vec{F}_2 \) and its vertical component.
This diagram is useful for analyzing the resultant force on the object by resolving each force vector into its components and applying vector addition principles.
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