2. A force, F = 3 N acts on a cube at a point with a radial vector, r= 3 i+3 k. See diagram, If the moment of inertia of a cube of edge a about an edge is: I= 2/3 m L² What is the angular acceleration of the cube around the z axis? y
2. A force, F = 3 N acts on a cube at a point with a radial vector, r= 3 i+3 k. See diagram, If the moment of inertia of a cube of edge a about an edge is: I= 2/3 m L² What is the angular acceleration of the cube around the z axis? y
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![### Problem Statement
2. A force, \( F = 3 \, \text{N} \), acts on a cube at a point with a radial vector, \( \mathbf{r} = 3 \mathbf{i} + 3 \mathbf{k} \). See diagram. If the moment of inertia of a cube with edge \( a \) about an edge is: \( I = \frac{2}{3} m L^2 \), what is the angular acceleration of the cube around the z-axis?
### Diagram Explanation
The diagram shows a cube positioned in a three-dimensional space with axes labeled \( x \), \( y \), and \( z \). The cube is oriented such that it is aligned with these axes. A force \( F \) is applied at one corner of the cube, and a radial vector \( \mathbf{r} = 3 \mathbf{i} + 3 \mathbf{k} \) is shown. This vector originates from the origin and extends to the point of application on the cube.
### Task
Calculate the angular acceleration of the cube about the \( z \)-axis using the given parameters of force, radial vector, and moment of inertia.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F632065a4-87e4-4db9-9a16-90da95c730a4%2F03952f83-130e-479f-989d-d0980e915a48%2Fvcb1ja8i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
2. A force, \( F = 3 \, \text{N} \), acts on a cube at a point with a radial vector, \( \mathbf{r} = 3 \mathbf{i} + 3 \mathbf{k} \). See diagram. If the moment of inertia of a cube with edge \( a \) about an edge is: \( I = \frac{2}{3} m L^2 \), what is the angular acceleration of the cube around the z-axis?
### Diagram Explanation
The diagram shows a cube positioned in a three-dimensional space with axes labeled \( x \), \( y \), and \( z \). The cube is oriented such that it is aligned with these axes. A force \( F \) is applied at one corner of the cube, and a radial vector \( \mathbf{r} = 3 \mathbf{i} + 3 \mathbf{k} \) is shown. This vector originates from the origin and extends to the point of application on the cube.
### Task
Calculate the angular acceleration of the cube about the \( z \)-axis using the given parameters of force, radial vector, and moment of inertia.
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