Plastered block on inclined plank · Physics Brawl 2015 #FoL.2

Physics · mechanics

Problem

Kuba is boasting that he can lay a perfectly smooth cuboid on an inclined plank in such way that the cuboid won't slip down. The plank is inclined at an angle α=20°\alpha = 20° to the horizontal plane. Find out what Kuba's acceleration has to be when he holds the plank, so that the cuboid would remain at rest (with respect to the plank).

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