Problem 1 The downhill racer team is testing a new design. There are 4 wheels each with a diameter of 0.4 m and a mass of 2.0 kg. The rest of the cart has a mass of 20 kg. A spring-loaded brake applies a constant force of 50 N on the two rear wheels. The coefficient of friction between a brake pad and a wheel is 0.7. The cart is traveling down a slope of 0 = 10° at 13.5 km/hr when the brake is applied. Determine how far the racer will travel down the slope until it stops. Model the wheels as uniform thin discs.

Problem 1 The downhill racer team is testing a new design. There are 4 wheels each with a diameter of 0.4 m and a mass of 2.0 kg. The rest of the cart has a mass of 20 kg. A spring-loaded brake applies a constant force of 50 N on the two rear wheels. The coefficient of friction between a brake pad and a wheel is 0.7. The cart is traveling down a slope of 0 = 10° at 13.5 km/hr when the brake is applied. Determine how far the racer will travel down the slope until it stops. Model the wheels as uniform thin discs.

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

### Problem 1

The [Redacted] downhill racer team is testing a new design. There are 4 wheels, each with a diameter of 0.4 m and a mass of 2.0 kg. The rest of the cart has a mass of 20 kg. A spring-loaded brake applies a constant force of 50 N on the two rear wheels. The coefficient of friction between a brake pad and a wheel is 0.7. The cart is traveling down a slope of θ = 10° at 13.5 km/hr when the brake is applied. Determine how far the racer will travel down the slope until it stops. Model the wheels as uniform thin discs.

#### Diagram Explanation:
The diagram illustrates the cart with two large wheels on a slope inclined at an angle (θ) of 10°. The cart is represented as a rectangular body connected to the two wheels. The force due to the brake is applied to the two rear wheels.

### Instructions:
1. Model the wheels as uniform thin discs for calculations.
2. Use the provided dimensions and values to determine the distance traveled by the cart before it comes to a stop.

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