84. The angular displacements of disks A and B can be written as: 21,.2AABBttθωθα==(a) The time when ABθθ=is given by 22212(9.5 rad/s)8.6 s.2(2.2 rad/s )ABtωωα=¡=(b) The difference in the angular displacement is 2219.51.1 .2ABttttθθ θ ωΔ= − = −=−For their reference lines to align momentarily, we only require 2NθπΔ=, where Nis an integer. The quadratic equation can be readily solve to yield
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