Box 1 sits atop box 2, which is attached via a massless and frictionless puley,

Question

Box 1 sits atop box 2, which is attached via a massless and frictionless puley, and a very light rope, to box 3 (see the diagram). The friciton between the table and box 2 is negligible but between box 1 and 2 the coefficient of static friction is 0.4 and the coefficient of kinectic fricition is half that of static friction.

Box 1 sits atop box 2, which is attached via a massless and frictionless pulley, and a very light rope, to box 3 (see the diagram). The friction between the table and box 2 is negligible but between box 1 and 2 the coeffi 2 cient of static friction is 0.4 and the coefficient of kinet- ic friction is half that of static friction. The mass of box 1 and 2 are both 2 kg. The mass of box 3 is as large as it can be for box 1 to not slip relative to box 2 when the whole system is released from rest. (a) Draw a free- L body diagram for each box separately and identify all of Newton's 3rd law force pairs for after the system is released from rest. (b) What is the mass of box 3? (c) If you were to now (after the system is released from rest) just barely tap on box 1 in the opposite direction of motion, to break the static friction, box 1 would start to slide rela- tive to box 2. If box 2 is a meter in length, how much time would it take for box 1 to slide off of box 2? Assume the table is very long and box 3 can fall for a very long distance 1.

Explanation / Answer

Box 1 sits atop box 2, which is attached via a massless and frictionless puley,

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