An inclined plane is smoothly connected to a vertical loop of radius R. A small body, initially at rest, is released from an initial height H on the plane and then slides down and enters the loop. a) Assume that there is no friction anywhere. What is the minimum height Hmin such that the body remains in contact with the loop at the loop's highest point? b) Now assume that there is friction between the loop and the body with the coefficient of kinetic friction u while the inclined plane remains frictionless. What is the minimum height Hmin Such that the body remains in contact with the loop at the loop's highest point in this case?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...
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An inclined plane is smoothly connected to a vertical loop of radius R. A small body,
initially at rest, is released from an initial height H on the plane and then slides down
and enters the loop.
a) Assume that there is no friction anywhere. What is the minimum height Hmin such
that the body remains in contact with the loop at the loop's highest point?
b) Now assume that there is friction between the loop and the body with the coefficient
of kinetic friction
while the inclined plane remains frictionless. What is the minimum
height Hmin such that the body remains in contact with the loop at the loop's highest
point in this case?
Transcribed Image Text:An inclined plane is smoothly connected to a vertical loop of radius R. A small body, initially at rest, is released from an initial height H on the plane and then slides down and enters the loop. a) Assume that there is no friction anywhere. What is the minimum height Hmin such that the body remains in contact with the loop at the loop's highest point? b) Now assume that there is friction between the loop and the body with the coefficient of kinetic friction while the inclined plane remains frictionless. What is the minimum height Hmin such that the body remains in contact with the loop at the loop's highest point in this case?
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Transcribed Image Text:"R H V
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