The assembly weighs 10 lb and has a radius of gyration kg = 0.60 ft about its center of mass G. The kinetic energy of the assembly is 25 ft lb when it is in the position shown. (Figure 1) Part A If it rolls counterclockwise on the surface without slipping, determine its linear momentum at this instant. Express your answer using three significant figures. 197| ΑΣΦ 41 | vec L = Submit Request Answer ? slug ft/s

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The assembly weighs 10 lblb and has a radius of gyration kGkGk_G = 0.60 ftft about its center of mass GG. The kinetic energy of the assembly is 25 ft⋅lbft⋅lb when it is in the position shown. (Figure 1)

If it rolls counterclockwise on the surface without slipping, determine its linear momentum at this instant.

**Problem Description:**

The assembly weighs 10 lb and has a radius of gyration \( k_G = 0.60 \) ft about its center of mass \( G \). The kinetic energy of the assembly is 25 ft·lb when it is in the position shown. 

**Task:**

- **Determine the Linear Momentum:**
  - If it rolls counterclockwise on the surface without slipping, calculate its linear momentum at this instant.
  - Express your answer using three significant figures.

**Diagram Explanation:**

- The figure illustrates a semi-circular assembly rolling on a flat surface. 
- The dimensions are:
  - Diameter: 1 ft
  - Radius of the semi-circle: 1 ft
  - Height from the flat surface to the top: 1 ft
  - Distance from the center of mass \( G \) to the flat surface: 0.8 ft
- The motion is indicated by an arrow showing a counterclockwise rotation.

**Equation Input Box:**

- The box is used to input the linear momentum \( L \) with the units slug·ft/s.

Ensure calculations consider the given parameters and utilize physics equations related to rolling motion and linear momentum.
Transcribed Image Text:**Problem Description:** The assembly weighs 10 lb and has a radius of gyration \( k_G = 0.60 \) ft about its center of mass \( G \). The kinetic energy of the assembly is 25 ft·lb when it is in the position shown. **Task:** - **Determine the Linear Momentum:** - If it rolls counterclockwise on the surface without slipping, calculate its linear momentum at this instant. - Express your answer using three significant figures. **Diagram Explanation:** - The figure illustrates a semi-circular assembly rolling on a flat surface. - The dimensions are: - Diameter: 1 ft - Radius of the semi-circle: 1 ft - Height from the flat surface to the top: 1 ft - Distance from the center of mass \( G \) to the flat surface: 0.8 ft - The motion is indicated by an arrow showing a counterclockwise rotation. **Equation Input Box:** - The box is used to input the linear momentum \( L \) with the units slug·ft/s. Ensure calculations consider the given parameters and utilize physics equations related to rolling motion and linear momentum.
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