The sports car shown in (Figure 1) has been designed so that the 260-kg engine E and 165-kg transmission I have been placed over the front and rear wheels, respectively. Their mass centers are located at Gg and Gr. The mass center of the remaining 512-kg body and frame is located at G Part A If power is supplied to the rear wheels only, determine the shortest time it takes for the car to reach a speed of 80 km/h, starting from rest. The front wheels are free rolling, and the coefficient of static friction between the powered wheels and the road is = 0.56. Neglect the mass of the wheels and driver.

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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**Text Transcription for Educational Website:**

**Problem Statement:**

The sports car shown in Figure 1 has been designed such that the 260-kg engine \(E\) and 165-kg transmission \(T\) have been placed over the front and rear wheels, respectively. Their mass centers are located at \(G_E\) and \(G_T\). The mass center of the remaining 512-kg body and frame is located at \(G_b\).

**Part A:**

If power is supplied to the rear wheels only, determine the shortest time it takes for the car to reach a speed of 80 km/h, starting from rest. The front wheels are free rolling, and the coefficient of static friction between the powered wheels and the road is \(\mu_s = 0.56\). Neglect the mass of the wheels and driver.

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

**Input Box:**

\[ t = \]
- **Value:** [Input Field]
- **Units:** [Input Field]

**Submit Button:**
- [Submit]
- [Request Answer]

**Additional Options:**
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**Figure Description:**

The diagram consists of a yellow sports car with measurements and labels indicating the positions of the car's mass centers:
- The distance from the front of the car to \(G_E\) is 0.5 m.
- The distance from the front wheels to \(G_b\) is 1.25 m.
- The distance from the front wheels to the rear wheels is 1.70 m.
- The distance from \(G_T\) to the rear is 0.40 m.

**Next Button:**
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This transcription is intended for an educational website to help users understand the problem setup and input necessary calculations.
Transcribed Image Text:**Text Transcription for Educational Website:** **Problem Statement:** The sports car shown in Figure 1 has been designed such that the 260-kg engine \(E\) and 165-kg transmission \(T\) have been placed over the front and rear wheels, respectively. Their mass centers are located at \(G_E\) and \(G_T\). The mass center of the remaining 512-kg body and frame is located at \(G_b\). **Part A:** If power is supplied to the rear wheels only, determine the shortest time it takes for the car to reach a speed of 80 km/h, starting from rest. The front wheels are free rolling, and the coefficient of static friction between the powered wheels and the road is \(\mu_s = 0.56\). Neglect the mass of the wheels and driver. Express your answer to three significant figures and include the appropriate units. **Input Box:** \[ t = \] - **Value:** [Input Field] - **Units:** [Input Field] **Submit Button:** - [Submit] - [Request Answer] **Additional Options:** - [Provide Feedback] **Figure Description:** The diagram consists of a yellow sports car with measurements and labels indicating the positions of the car's mass centers: - The distance from the front of the car to \(G_E\) is 0.5 m. - The distance from the front wheels to \(G_b\) is 1.25 m. - The distance from the front wheels to the rear wheels is 1.70 m. - The distance from \(G_T\) to the rear is 0.40 m. **Next Button:** - [Next >] This transcription is intended for an educational website to help users understand the problem setup and input necessary calculations.
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