A cylinder of mass m is free to slide in a vertical tube. The kinetic friction force between the cylinder and the walls of the tube has magnitude f. You attach the upper end of a lightweight vertical spring of force constant k to the cap at the top of the tube, and attach the lower end of the spring to the top of the cylinder. Initially the cylinder is at rest and the spring is relaxed. You then release the cylinder. What vertical distance will the cylinder descend before it comes momentarily to rest?
A cylinder of mass m is free to slide in a vertical tube. The kinetic friction force between the cylinder and the walls of the tube has magnitude f. You attach the upper end of a lightweight vertical spring of force constant k to the cap at the top of the tube, and attach the lower end of the spring to the top of the cylinder. Initially the cylinder is at rest and the spring is relaxed. You then release the cylinder. What vertical distance will the cylinder descend before it comes momentarily to rest?
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
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 19P: A light spring with spring constant 1 200 N/m is hung from an elevated support. From its lower end...
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Question
A cylinder of mass m is free to slide in a vertical tube. The
kinetic friction force between the cylinder and the walls of the tube
has magnitude f. You attach the upper end of a lightweight vertical
spring of force constant k to the cap at the top of the tube, and attach
the lower end of the spring to the top of the cylinder. Initially
the cylinder
is at rest and the spring is relaxed. You then release the
cylinder.
What vertical distance will the cylinder descend before it
comes momentarily to rest?
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