Two logs with masses m1 and m2 are connected by a very light rope that goes through a very light pulley (see picture below). The friction in the pulley is negligible. The first log rests on a rough table, log 2 hangs over the edge of the table. ktr is the coefficient of friction between the 1st log and the table (suppose that the coefficient of adhesion is equal to the coefficient of friction). The 1st body is also connected to the spring by a coefficient springs k. In the initial state, the spring is not tensioned, the second log is held in the air. When the 2nd body is lowered, it only moves a distance d before it stops (final state: when it stops).
(a) Explain why the 2nd log eventually stops?
(b) Select a system and display the process with an energy bar chart.
(c) Derive a mathematical expression for the distance d that will depend on m1, m2, ktr and k. Evaluate the obtained term by considering extreme cases (maximum, minimum values) and dimensional analysis (ie check that the units on the left correspond to the units on the right sides of the expression).