The ratio of acceleration of blocks A placed on smooth incline with block B placed on rough incline is 2:1. The coefficient of kinetic friction between block B and incline is:
a) 0.5
b) 0.75
c) 0.57
d) None of these

for the smoothe surface, net downward force :f = mgsinθa = g sin45 = g2for the rough surface:f = mg sinθ-fr = mgsinθ-μmgcosθa' = g(sinθ-μcosθ) aa'=21g2g(12-μ2) = 21=2-2μμ = 0.5

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