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" 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 490 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. Part A What is the largest magnitude F can have so that the cylinder stil rolls without slipping as it moves up the ramp? Express your answer with the appropriate units. ? F Value Units Submit Reguest Answer • Part 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? Express your answer with the appropriate units. ? Value Units Submit Resuest Answer

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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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° 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 490 kg and radius 0.300 m. The
Part A
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.
What is the largest magnitude F can have so that the cylinder still rolls without slipping as it moves up the ramp?
Express your answer with the appropriate units.
F =
Value
Units
Submit
Request Answer
Part 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?
Express your answer with the appropriate units.
HA
?
t =
Value
Units
Submit
Request Answer
Provide Feedback
Transcribed Image Text: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° 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 490 kg and radius 0.300 m. The Part A 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. What is the largest magnitude F can have so that the cylinder still rolls without slipping as it moves up the ramp? Express your answer with the appropriate units. F = Value Units Submit Request Answer Part 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? Express your answer with the appropriate units. HA ? t = Value Units Submit Request Answer Provide Feedback
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