Problems 6-9 Information: Matt is driving a truck composed of a body (mB= 1000 kg) and four wheels (disks of mass mw = 50 kg, radius r = 0.4 m each) on a road (us = 0.7, µo = 0.5) at 30 m/s. The truck body is w = 2 m wide and h = 2 m tall, with a center of gravity d = 2 m above the ground. He tries to round a %3! %3D %3D %3D corner of radius R = 20 m. %3D R
Problems 6-9 Information: Matt is driving a truck composed of a body (mB= 1000 kg) and four wheels (disks of mass mw = 50 kg, radius r = 0.4 m each) on a road (us = 0.7, µo = 0.5) at 30 m/s. The truck body is w = 2 m wide and h = 2 m tall, with a center of gravity d = 2 m above the ground. He tries to round a %3! %3D %3D %3D corner of radius R = 20 m. %3D R
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Transcribed Image Text:**Problems 6-9 Information:**
Matt is driving a truck composed of a body (\(m_B = 1000\) kg) and four wheels (disks of mass \(m_W = 50\) kg, radius \(r = 0.4\) m each) on a road (\(\mu_s = 0.7, \mu_d = 0.5\)) at 30 m/s. The truck body is \(w = 2\) m wide and \(h = 2\) m tall, with a center of gravity \(d = 2\) m above the ground. He tries to round a corner of radius \(R = 20\) m.
*Image Descriptions:*
1. The left image is a front view of the truck showing parameters \(h\) (height), \(w\) (width).
2. The right image is a top-down view diagram of the truck navigating a curved road with radius \(R\).
**Problem 6:**
Write the FBD (Free Body Diagram) and equations of motion for the truck, assuming rolling without slipping. What is the torque required to accelerate the truck from rest to full speed in 5 s?
*Notes:*
- Ensure you take into account all forces acting on the truck, including gravitational forces, normal forces, and frictional forces.
- For the torque calculation, consider the rotational inertia of both the body and wheels, and apply Newton’s second law for rotational motion.
These concepts are critical for understanding the dynamics involved in vehicular motion and maneuvering, particularly in the context of forces and accelerations affecting stability and performance.
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