1. For this series of 4 questions, a rider rides in a car that is connected to a 4-m rod, and rotates about the z axis. The rod of negligible mass is subjected to a constant couple moment of M, and the engine of the car supplies a traction force of F. Neglect the size of the car. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized. 3) If the rod is subjected to a constant couple moment of M = 800 N•m, and the engine of the car supplies a traction force of F=11• t N to the wheels, where tis in seconds, what is the magnitude of the angular impulse from the moment and the force to the car-rider system in kg.m²/s from t = 0 to t = 5.7 s? Your answer must include 1 place after the decimal point. Z M 4 m F

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Chapter1: Units, Trigonometry. And Vectors
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For this series of 4 questions, a rider rides in a car that is connected to a 4-m rod, and rotates about the z axis. The rod of negligible mass is subjected to a constant couple moment of \( M \), and the engine of the car supplies a traction force of \( F \). Neglect the size of the car. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized.

3) If the rod is subjected to a constant couple moment of \( M = 800 \, \text{N} \cdot \text{m} \), and the engine of the car supplies a traction force of \( F = 11 \cdot t \, \text{N} \) to the wheels, where \( t \) is in seconds, what is the magnitude of the angular impulse from the moment and the force to the car-rider system in \( \text{kg} \cdot \text{m}^2/\text{s} \) from \( t = 0 \) to \( t = 5.7 \, \text{s} \)? Your answer must include 1 place after the decimal point.

**Diagram Explanation:**

The diagram shows a car with a rider attached to a rod that is pivoting around the z-axis. The rod is 4 meters in length. The force \( F \) is oriented outward, showing the direction of the traction force applied by the car's engine. The couple moment \( M \) is shown acting at the pivot point.
Transcribed Image Text:For this series of 4 questions, a rider rides in a car that is connected to a 4-m rod, and rotates about the z axis. The rod of negligible mass is subjected to a constant couple moment of \( M \), and the engine of the car supplies a traction force of \( F \). Neglect the size of the car. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized. 3) If the rod is subjected to a constant couple moment of \( M = 800 \, \text{N} \cdot \text{m} \), and the engine of the car supplies a traction force of \( F = 11 \cdot t \, \text{N} \) to the wheels, where \( t \) is in seconds, what is the magnitude of the angular impulse from the moment and the force to the car-rider system in \( \text{kg} \cdot \text{m}^2/\text{s} \) from \( t = 0 \) to \( t = 5.7 \, \text{s} \)? Your answer must include 1 place after the decimal point. **Diagram Explanation:** The diagram shows a car with a rider attached to a rod that is pivoting around the z-axis. The rod is 4 meters in length. The force \( F \) is oriented outward, showing the direction of the traction force applied by the car's engine. The couple moment \( M \) is shown acting at the pivot point.
4) If the total mass of the car and the rider is 160 kg, the rod is subjected to a constant couple moment of \( M = 660 \, \text{N} \cdot \text{m} \), and the engine of the car supplies a traction force of \( F = 14t \, \text{N} \) to the wheels, where \( t \) is in seconds, determine how much time it will take before the speed of the car reaches a speed of 5.3 m/s if the car starts from rest. Your answer must include 2 places after the decimal point and the proper unit.
Transcribed Image Text:4) If the total mass of the car and the rider is 160 kg, the rod is subjected to a constant couple moment of \( M = 660 \, \text{N} \cdot \text{m} \), and the engine of the car supplies a traction force of \( F = 14t \, \text{N} \) to the wheels, where \( t \) is in seconds, determine how much time it will take before the speed of the car reaches a speed of 5.3 m/s if the car starts from rest. Your answer must include 2 places after the decimal point and the proper unit.
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