### Educational Context: Physics Problem on Bicycle Dynamics#### Problem Statement:The bicycle and rider shown in Figure 1 have a mass of 80 kg with the center of mass located at $ G $. The coefficient of kinetic friction at the rear tire is $ \mu_B = 0.8 $.#### Tasks:1. **Determine the normal reaction at tire $ A $** when the rear wheel locks for braking. - **Express your answer to three significant figures and include the appropriate units**. - Input Box: \[ N_A = \text{Value} \quad \text{Units} \] - [Submit] [Request Answer]2. **Part B: Determine the normal reaction at tire $ B $** when the rear wheel locks for braking. - **Express your answer to three significant figures and include the appropriate units**. - Input Box: \[ N_B = \text{Value} \quad \text{Units} \] - [Submit]#### Diagram Description:The diagram shows a bicycle with a rider. The following measurements and positions are given:- The center of mass $ G $ is positioned above the bike frame.- The horizontal distance from the front wheel (point $ A $) to the rear wheel (point $ B $) is 1.2 meters.- The center of mass $ G $ is 0.6 meters above ground level.- The horizontal distance from the center of mass to the front wheel is 0.55 meters.This information is relevant for analyzing the forces acting on the bicycle, particularly when considering friction and normal forces during braking.

To find: The normal reaction at the tire A and B at the time rear wheel braking. Given: The total mass of bicycle and rider, m = 80 kg. The height of center of mass, h = 1.2 m. The coefficient of kinematic friction, μB = 0.8 Formula used: The moment of force about a particular point a) To fine the normal reaction at tire A due to the rear wheel breaking: The moment about point B: MB = 80×9.81×0.4 - NA×0.95 = 0NA = 330.44 N. b) To fine the normal reaction at tire B due to the rear wheel breaking: The moment about point A: MG = 330.44×0.55 + 0.8×NB×0.4 + NB×1.2 = 0NB = 119.56 N. Thus the values of reaction forces are as follows: NA = 330.44 N.NB = 119.56 N.

Engineering

Mechanical Engineering

The bicycle and rider shown in (Figure 1) have a mass of 80 kg with center of mass located at G. The coefficient of kinetic friction at the rear tire is μg 0.8. Figure G 0.55 m 0.4 m- < 1 of 1 1.2 m Determine the normal reaction at the tire A, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units NA = Submit Part B NB = Ii Submit μÃ Value Request Answer Determine the normal reaction at the tire B, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units O T μÁ Value Units Request Answer ? Units ?

The bicycle and rider shown in (Figure 1) have a mass of 80 kg with center of mass located at G. The coefficient of kinetic friction at the rear tire is μg 0.8. Figure G 0.55 m 0.4 m- < 1 of 1 1.2 m Determine the normal reaction at the tire A, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units NA = Submit Part B NB = Ii Submit μÃ Value Request Answer Determine the normal reaction at the tire B, when the rear wheel locks for braking. Express your answer to three significant figures and include the appropriate units O T μÁ Value Units Request Answer ? Units ?

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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Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

### Educational Context: Physics Problem on Bicycle Dynamics

#### Problem Statement:

The bicycle and rider shown in Figure 1 have a mass of 80 kg with the center of mass located at $ G $. The coefficient of kinetic friction at the rear tire is $ \mu_B = 0.8 $.

#### Tasks:

1. **Determine the normal reaction at tire $ A $** when the rear wheel locks for braking.

- **Express your answer to three significant figures and include the appropriate units**.

- Input Box:
\[
N_A = \text{Value} \quad \text{Units}
\]

- [Submit] [Request Answer]

2. **Part B: Determine the normal reaction at tire $ B $** when the rear wheel locks for braking.

- **Express your answer to three significant figures and include the appropriate units**.

- Input Box:
\[
N_B = \text{Value} \quad \text{Units}
\]

- [Submit]

#### Diagram Description:

The diagram shows a bicycle with a rider. The following measurements and positions are given:

- The center of mass $ G $ is positioned above the bike frame.
- The horizontal distance from the front wheel (point $ A $) to the rear wheel (point $ B $) is 1.2 meters.
- The center of mass $ G $ is 0.6 meters above ground level.
- The horizontal distance from the center of mass to the front wheel is 0.55 meters.

This information is relevant for analyzing the forces acting on the bicycle, particularly when considering friction and normal forces during braking.

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