A hydraulic brake has master cylinder with area 1.7 cm. The brake cylinder has a cross-sectional area of 6.1 cm. The coefficient of friction between the shoe and wheel drum is 0.4. If the wheel has a radius of 44 cm, determine the magnitude of the frictional torque exerted on the wheel around the axle when the driver applies a force of 45 N on the brake pedal. (Note: generally there is a lever system, as well, to amplify the force of the driver's foot!).

Parvinbhai

Problem 8.3 The mine car and its contents have a total mass of 5.1 Mg and a center of gravity at G. The coefficient of static friction between the wheels and the tracks is μ = 0.4 when the wheels are locked. The brakes at both A and B are locked. Part A Find the normal force acting on the front wheels at B. Express your answer to three significant figures and include the appropriate units. Part B Find the normal force acting on the rear wheels at A. Express your answer to three significant figures and include the appropriate units. Part C Does the car move? Explain your reasoning. 10 kN 0.9 m B -0.6 m- .G 5 of 10 -1.5 m- 0.15 m

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 37 cm, determine the frictional torque about the axle when a force of 50 N is exerted on the brake pedal. N. m Wheel drum Pedal Shoe Master cylinder cylinder Brake