Three identical billiard balls each of mass 1kg are placed as shown. The upper ball is smooth. the minimum coefficient of friction between lower balls and ground, so that the balls remain stationary is
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given= refer the given attached diagrams.
solution =
2Ncos30°=mg
N = mg /2cos30°
N= Mg /√3
for leftward ball ,
N₀ =Nsin60⁰ + mg
Ncos 60⁰+mg
f≤μN₀
μ≥ 1/3√3
so the ,
μmin = 1/3√3
the minimum coefficient of friction between lower balls and ground, so that the balls remain stationary is μmin = 1/3√3
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