---**Q8) You are designing a system for moving aluminum cylinders from the ground to a loading dock. You use a sturdy wooden ramp that is 2.00 m long and inclined at 37.0 degrees above the horizontal. Each cylinder is fitted with a light, frictionless yoke through its center, and a light (but strong) rope is attached to the yoke. Each cylinder is uniform and has a mass 420 kg and radius 0.300 m. The cylinders are pulled up the ramp by applying a constant force F→ to the free end of the rope. F→ is parallel to the surface of the ramp and exerts no torque on the cylinder. The coefficient of static friction between the ramp surface and the cylinder is 0.120.****a) What is the largest magnitude F→ can have so that the cylinder still rolls without slipping as it moves up the ramp?****b) If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it can take the cylinder to reach the top of the ramp?**---**Explanation for Educational Website:**This problem involves calculating the maximum force that can be applied to an aluminum cylinder being pulled up an inclined ramp at a specific angle before it starts slipping, as well as determining the shortest time it takes for the cylinder to travel up the ramp from rest.**Given Data:**- Ramp length: 2.00 meters- Ramp incline: 37.0 degrees- Cylinder mass: 420 kg- Cylinder radius: 0.300 meters- Coefficient of static friction: 0.120- Force F→ applied parallel to the ramp**Part (a): Calculation of Maximum Force without Slipping**To solve for the largest magnitude of force F→ that allows the cylinder to roll without slipping, we need to balance the forces and torques acting on the cylinder. The static friction plays a crucial role in preventing the cylinder from slipping while it rolls. **Part (b): Calculation of Shortest Time to Reach Top**In this part, we calculate the shortest time for the cylinder to reach the top of the ramp. This involves analyzing the motion of the cylinder as it rolls up the ramp under the influence of the applied force F→. We need to consider the forces acting on the cylinder and its rotational inertia as it rolls up the incline.This problem is

Answered: Image /qna-images/answer/4d95f4a2-8573-46bc-8e51-f0dd4678d70a.jpg

Q8) You are designing a system for moving aluminum cylinders from the ground to a loading dock. You use a sturdy wooden ramp that is 2.00 m long and inclined at 37.0 degrees above the horizontal. Each cylinder is fitted with a light, frictionless yoke through its center, and a light (but strong) rope is attached to the yoke. Each cylinder is uniform and has mass 420 kg and radius 0.300 m. The cylinders are pulled up the ramp by applying a constant force F* to the free end of the rope. F" is parallel to the surface of the ramp and exerts no torque on the cylinder. The coefficient of static friction between the ramp surface and the cylinder is 0.120. a) What is the largest magnitude F° can have so that the cylinder still rolls without slipping as it moves up the ramp? b) If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it can take the cylinder to reach the top of the ramp?

Q8) You are designing a system for moving aluminum cylinders from the ground to a loading dock. You use a sturdy wooden ramp that is 2.00 m long and inclined at 37.0 degrees above the horizontal. Each cylinder is fitted with a light, frictionless yoke through its center, and a light (but strong) rope is attached to the yoke. Each cylinder is uniform and has mass 420 kg and radius 0.300 m. The cylinders are pulled up the ramp by applying a constant force F* to the free end of the rope. F" is parallel to the surface of the ramp and exerts no torque on the cylinder. The coefficient of static friction between the ramp surface and the cylinder is 0.120. a) What is the largest magnitude F° can have so that the cylinder still rolls without slipping as it moves up the ramp? b) If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it can take the cylinder to reach the top of the ramp?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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