Mechanics Underkill

Two blocks AA and BB of equal masses are sliding down along parallel lines on a plane inclined at an angle of θ=45\theta =45^\circ with the horizontal, as shown in the figure. The coefficients of kinetic friction are 0.20.2 and 0.30.3 for AA and B,B, respectively. At t=0,t=0, both the blocks are at rest, and block AA is 22 meters behind block BB.

Find the time (in seconds) and distance (in meters) from the initial position of AA to where the front faces of the blocks come in line on the inclined plane, as illustrated in the figure. (\big(Use g=10 m/s2.)g=\SI[per-mode=symbol]{10}{\meter\per\second\squared}.\big)

Input your answer as the sum of the answers for the time and distance, to 3 decimals.


Source : JEE 2004

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