A car is pushing a barrel to the right. The pushing force P is applied by the front bumper which is level with the center G of the barrel (see figure). The barrel has mass m, radius R, and radius of gyration kG. The coefficients of static and kinetic friction between the bumper and the barrel are µs and µk. The coefficients of static and kinetic friction between the barrel and the road are also us and μk. 1) If the barrel doesn't slip on the road, find the acceleration of the barrel and the minimum value of μs required to ensure no slipping. 2) If the barrel slips on the road, find the acceleration of G and the angular acceleration of the barrel. H₂. Hk- R

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter7: Dry Friction
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Problem 2:
A car is pushing a barrel to the right. The pushing force P is applied by the front bumper
which is level with the center G of the barrel (see figure). The barrel has mass m, radius
R, and radius of gyration kG. The coefficients of static and kinetic friction between the
bumper and the barrel are µs and µk. The coefficients of static and kinetic friction
between the barrel and the road are also µs and µk.
1) If the barrel doesn't slip on the road, find the acceleration of the barrel and the
minimum value of us required to ensure no slipping.
2) If the barrel slips on the road, find the acceleration of G and the angular
acceleration of the barrel.
Hs. Hk.
m
Transcribed Image Text:Problem 2: A car is pushing a barrel to the right. The pushing force P is applied by the front bumper which is level with the center G of the barrel (see figure). The barrel has mass m, radius R, and radius of gyration kG. The coefficients of static and kinetic friction between the bumper and the barrel are µs and µk. The coefficients of static and kinetic friction between the barrel and the road are also µs and µk. 1) If the barrel doesn't slip on the road, find the acceleration of the barrel and the minimum value of us required to ensure no slipping. 2) If the barrel slips on the road, find the acceleration of G and the angular acceleration of the barrel. Hs. Hk. m
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