The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is 1.8 cm2 and that of the piston in the brake cylinder is 6.4 cm2. The coefficient of friction between shoe and wheel drum is 0.50. If the wheel has a radius of 38 cm, determine the frictional torque about the axle when a force of 31 N is exerted on the brake pedal. N.m Wheel drum Pedal Shoe Master Brake cylinder cylinder

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The image depicts the essential parts of a hydraulic brake system. It consists of the following components:

1. **Pedal** - The point where the force is applied.
2. **Master Cylinder** - The part of the system where the force from the pedal is initially transferred, having a piston area of \(1.8 \, \text{cm}^2\).
3. **Brake Cylinder** - Connected to the master cylinder, where the piston area is \(6.4 \, \text{cm}^2\).
4. **Shoe** - The component that makes contact with the wheel drum to create friction.
5. **Wheel Drum** - The rotating component that the shoe presses against to slow down or stop wheel movement.

The text states that if the wheel has a radius of \(38 \, \text{cm}\), it is required to determine the frictional torque about the axle when a force of \(31 \, \text{N}\) is exerted on the brake pedal. The coefficient of friction between the shoe and the wheel drum is \(0.50\).

The diagram clarifies the arrangement and interaction of these components within the hydraulic brake system, illustrating how the force applied at the pedal is transmitted through to the drum, creating the necessary friction to halt movement.
Transcribed Image Text:The image depicts the essential parts of a hydraulic brake system. It consists of the following components: 1. **Pedal** - The point where the force is applied. 2. **Master Cylinder** - The part of the system where the force from the pedal is initially transferred, having a piston area of \(1.8 \, \text{cm}^2\). 3. **Brake Cylinder** - Connected to the master cylinder, where the piston area is \(6.4 \, \text{cm}^2\). 4. **Shoe** - The component that makes contact with the wheel drum to create friction. 5. **Wheel Drum** - The rotating component that the shoe presses against to slow down or stop wheel movement. The text states that if the wheel has a radius of \(38 \, \text{cm}\), it is required to determine the frictional torque about the axle when a force of \(31 \, \text{N}\) is exerted on the brake pedal. The coefficient of friction between the shoe and the wheel drum is \(0.50\). The diagram clarifies the arrangement and interaction of these components within the hydraulic brake system, illustrating how the force applied at the pedal is transmitted through to the drum, creating the necessary friction to halt movement.
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