given
mass m = 2 kg
angular speed w = 12 rad/s
linear speed v = r*w = 0.5*12 = 6 m/s
from the relation
angular momentum L = mvr'
here r' = sqrt(0.75^2+0.5^2) = 0.901 m
L = 2*6*0.901 = 10.82 kgm^2/s
option c
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