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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?

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
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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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?

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.
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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