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The three 160 g masses in (Figure 1) are connected by massless, rigid rods. What is the triangle's moment of inertia about the axis through the center? Express your answer to two significant figures and include the appropriate units. > View Available Hint(s) HÀ Figure < 1 of 1 I = Value Units Submit 40 cm 40 cm Part B Axis What is the triangle's kinetic energy if it rotates about the axis at 5.8 rev/s? 60° 60° Express your answer to two significant figures and include the appropriate units. 40 cm • View Available Hint(s)

The three 160 g masses in (Figure 1) are connected by massless, rigid rods. What is the triangle's moment of inertia about the axis through the center? Express your answer to two significant figures and include the appropriate units. > View Available Hint(s) HÀ Figure < 1 of 1 I = Value Units Submit 40 cm 40 cm Part B Axis What is the triangle's kinetic energy if it rotates about the axis at 5.8 rev/s? 60° 60° Express your answer to two significant figures and include the appropriate units. 40 cm • View Available Hint(s)

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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### Understanding Moment of Inertia and Kinetic Energy in Rigid Body Rotation #### Fundamental Problem The scenario involves three identical masses, each 160 g, connected by massless, rigid rods to form an equilateral triangle. This system is analyzed for rotational properties around an axis through its center. #### Figure Explanation - **Triangle Configuration**: - An equilateral triangle formed by three 40 cm sides. - Each vertex has a mass of 160 g. - The axis of rotation is through the center of the triangle, perpendicular to the plane. - Angles between each side are 60°. #### Problem A: Moment of Inertia - **Objective**: Determine the triangle's moment of inertia about the given axis. - **Instructions**: Express the answer to two significant figures and include appropriate units. - **Tool Provided**: An interactive area for input and submission of answers, with a hint option for guidance. #### Problem B: Kinetic Energy - **Objective**: Calculate the kinetic energy when the triangle rotates about the same axis at 5.8 revolutions per second (rev/s). - **Instructions**: Again, express your answer to two significant figures, including appropriate units. - **Tool Provided**: Similar interactive area for input and feedback, with hint assistance available. #### Learning Outcomes - Understanding the calculation of moment of inertia for a composite system. - Applying rotational dynamics to compute kinetic energy. - Engaging with interactive tools to validate comprehension and problem-solving skills. This exercise emphasizes the basic principles of rotational mechanics relevant to physics and engineering students.
Transcribed Image Text:### Understanding Moment of Inertia and Kinetic Energy in Rigid Body Rotation #### Fundamental Problem The scenario involves three identical masses, each 160 g, connected by massless, rigid rods to form an equilateral triangle. This system is analyzed for rotational properties around an axis through its center. #### Figure Explanation - **Triangle Configuration**: - An equilateral triangle formed by three 40 cm sides. - Each vertex has a mass of 160 g. - The axis of rotation is through the center of the triangle, perpendicular to the plane. - Angles between each side are 60°. #### Problem A: Moment of Inertia - **Objective**: Determine the triangle's moment of inertia about the given axis. - **Instructions**: Express the answer to two significant figures and include appropriate units. - **Tool Provided**: An interactive area for input and submission of answers, with a hint option for guidance. #### Problem B: Kinetic Energy - **Objective**: Calculate the kinetic energy when the triangle rotates about the same axis at 5.8 revolutions per second (rev/s). - **Instructions**: Again, express your answer to two significant figures, including appropriate units. - **Tool Provided**: Similar interactive area for input and feedback, with hint assistance available. #### Learning Outcomes - Understanding the calculation of moment of inertia for a composite system. - Applying rotational dynamics to compute kinetic energy. - Engaging with interactive tools to validate comprehension and problem-solving skills. This exercise emphasizes the basic principles of rotational mechanics relevant to physics and engineering students.
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