A homogeneous cylinder of radius R > H rests on a horizontal board with a step of height H as the picture shows. Determine the maximum possible acceleration a from the table, such that the cylinder does not start to climb the step. The friction between the board and the floor is neglected.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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A homogeneous cylinder of radius R > H rests on a horizontal board with a step of height H as the
picture shows. Determine the maximum possible acceleration a from the table, such that the cylinder
does not start to climb the step. The friction between the board and the floor is neglected.
R
gv2RH-H²
Amáx
R-H
ANS.
H
Transcribed Image Text:A homogeneous cylinder of radius R > H rests on a horizontal board with a step of height H as the picture shows. Determine the maximum possible acceleration a from the table, such that the cylinder does not start to climb the step. The friction between the board and the floor is neglected. R gv2RH-H² Amáx R-H ANS. H
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