**Problem 78.** The hydraulic braking system for the truck and trailer is set to produce equal braking forces for the two units. If the brakes are applied uniformly for **5 seconds** to bring the rig to a stop from a speed of **20 mi/hr** down the **10 percent grade**, determine the force **P** in the coupling between the trailer and the truck. The truck weighs **20,000 lb** and the trailer weighs **15,000 lb**.**Diagram Explanation:**The image shows a side view of a truck and trailer moving down a slope. The truck is depicted as a yellow cab with a gray trailer attached, moving at a speed of **20 mi/hr** down a **10 percent grade**. The angle of the slope is illustrated with a red line and a ratio (1 vertical to 10 horizontal), indicating the steepness of the hill.

Given:To find:Determine the force P in the coupling.

Problem 78. The hydraulic braking system for the truck and trailer is set to produce equal braking forces for the two units. If the brakes are applied uniformly for 5 seconds to bring the rig to a stop from a speed of 20 mi/hr down the 10 percent grade, determine the force P in the coupling between the trailer and the truck. The truck weighs 20,000 lb and the trailer weighs 15,000 lb. 20 mi/hr

Problem 78. The hydraulic braking system for the truck and trailer is set to produce equal braking forces for the two units. If the brakes are applied uniformly for 5 seconds to bring the rig to a stop from a speed of 20 mi/hr down the 10 percent grade, determine the force P in the coupling between the trailer and the truck. The truck weighs 20,000 lb and the trailer weighs 15,000 lb. 20 mi/hr

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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Conservation of Energy

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**Problem 78.** The hydraulic braking system for the truck and trailer is set to produce equal braking forces for the two units. If the brakes are applied uniformly for **5 seconds** to bring the rig to a stop from a speed of **20 mi/hr** down the **10 percent grade**, determine the force **P** in the coupling between the trailer and the truck. The truck weighs **20,000 lb** and the trailer weighs **15,000 lb**.

**Diagram Explanation:**

The image shows a side view of a truck and trailer moving down a slope. The truck is depicted as a yellow cab with a gray trailer attached, moving at a speed of **20 mi/hr** down a **10 percent grade**. The angle of the slope is illustrated with a red line and a ratio (1 vertical to 10 horizontal), indicating the steepness of the hill.

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Step 2: Draw the free body diagram and determine the friction force between the wheel and the plane:

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Step 3: Draw the free body diagram of trailer alone and find the magnitude of P:

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