The static equilibrium of cylindrical wood pieces in a close-packed order is analyzed. By considering the coefficient of static friction μL between two adjacent logs and the coefficient of static friction μG between the logs and the ground, it is demonstrated that the more stringent condition for static equilibrium arises from μL. This holds true for both systems comprising three logs and those with six logs. The value of the lower threshold eμL for equilibrium is greater for a system with six logs compared to three logs. This problem could serve as a study project in Newtonian mechanics for first-year college students or for advanced high-school physics students.
Equilibrium of a wood stack formed by close-packed cylindrical logs
De Luca R.
2024-01-01
Abstract
The static equilibrium of cylindrical wood pieces in a close-packed order is analyzed. By considering the coefficient of static friction μL between two adjacent logs and the coefficient of static friction μG between the logs and the ground, it is demonstrated that the more stringent condition for static equilibrium arises from μL. This holds true for both systems comprising three logs and those with six logs. The value of the lower threshold eμL for equilibrium is greater for a system with six logs compared to three logs. This problem could serve as a study project in Newtonian mechanics for first-year college students or for advanced high-school physics students.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
