Answered: 17-47. The four-wheeler has a weight of…

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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17-47 The four-wheeler has a weight of 335 Ib and a center of gravity at G1, whereas the rider has a weight of 150 lb and a center of gravity at Gz. If the engine can develop enough torque to cause the rear wheels to slip, determine the largest coefficient of static friction between the rear wheels and the ground so that the vehicle will accelerate without tipping over. What is this maximum acceleration? In order to increase the acceleration, should the rider crouch down or sit up straight from the position shown? Explain. The front wheels are free to roll. Neglect the mass of the wheels in the

**Problem 17-47:**

The four-wheeler has a weight of 335 lb and a center of gravity at \( G_1 \), whereas the rider has a weight of 150 lb and a center of gravity at \( G_2 \). If the engine can develop enough torque to cause the rear wheels to slip, determine the largest coefficient of static friction between the rear wheels and the ground so that the vehicle will accelerate without tipping over. What is this maximum acceleration? In order to **increase** the acceleration, should the rider crouch down or sit up straight from the position shown? Explain. The front wheels are free to roll. Neglect the mass of the wheels in the calculation.

The image illustrates a person riding an all-terrain vehicle (ATV). It provides a detailed diagram emphasizing measurements and reference points:

1. **Rider and ATV Positioning**:
- The rider is seated on the ATV, wearing a helmet and holding the handlebars.
- Two points are marked on the vehicle: \( G_1 \) and \( G_2 \).
- \( G_1 \): Represents the center of gravity of the ATV.
- \( G_2 \): Represents the combined center of gravity for the rider and the ATV.

2. **Measurement Details**:
- Vertical measurements are shown from the ground to significant points:
- The distance from the ground to point \( G_1 \) is 1 foot.
- The distance from the ground to point \( G_2 \) is 2 feet.
- Horizontal measurements are marked on the ground beneath the ATV:
- The distance from point \( A \) (beneath the front wheel) to the center of the ATV is 2 feet.
- The distance from the center of the ATV to point \( B \) (beneath the rear wheel) is also 2 feet.
- The overall wheelbase of the ATV (distance from \( A \) to \( B \)) is 5 feet.

This diagram is used to demonstrate concepts related to physics and mechanics, such as center of gravity, balance, and stability of vehicles.

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