The 28-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.53 m, has mass center at point G, and the radius of gyration is kg = 0.25 m. The coefficients of friction between the wheel and the ground is g = 0.39 and Hk = 0.17. If the wheel rolls without slipping, determine the necessary static frictional force between the wheel and the ground. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s².

The 28-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.53 m, has mass center at point G, and the radius of gyration is kg = 0.25 m. The coefficients of friction between the wheel and the ground is g = 0.39 and Hk = 0.17. If the wheel rolls without slipping, determine the necessary static frictional force between the wheel and the ground. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s².

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Problem Description**

The 28-kg wheel is rolling under the constant moment of \( M = 84 \, \text{N} \cdot \text{m} \). The wheel has a radius \( r = 0.53 \, \text{m} \), has mass center at point \( G \), and the radius of gyration is \( k_G = 0.25 \, \text{m} \). The coefficients of friction between the wheel and the ground are \( \mu_s = 0.39 \) (static friction) and \( \mu_k = 0.17 \) (kinetic friction).

**Objective**

If the wheel rolls *without slipping*, determine the necessary static frictional force between the wheel and the ground.

**Important Note**

The numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and the proper unit. Use \( g = 9.81 \, \text{m/s}^2 \).

**Diagram Explanation**

- The diagram shows a wheel with various labeled elements:
- Point \( G \) at the center of the mass.
- A red arrow indicating the direction of the moment \( M \).
- \( r \) denoting the radius of the wheel.
- A blue line indicating the radius pointing to the edge of the wheel.

**Answer Section**

Provide your calculated answer with the appropriate units:

- **Answer**: [Your numeric value]
- **Units**: [Appropriate units]

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