Friction

A 1 kg block of wood sits on the top of an identical block of wood, ehich sits on the top of a flat level table made of plastic. The coefficient of static friction b/w the wooden surfaces is @1, and the coefficient of static friction b/w the wood and plastic is @2.
(a) If a horizontal force F is applied to the top block only, and this force is increased until the top block starts to slide. Show the bottom block will slide with the top block only if 2@2<@1.
(b) Instead a horizontal force F is applied to the bottom block only, and this force is increased until the bottom block just starts to slide. Show that if (1/2) @2<@1<@2, the top block slides with the bottom block.

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