A block of mass m is attached to a spring with a force constant k. The system is placed horizontallyon a table and the friction coefficient between the block and the table surface is Hs = Hk = µ.The block is originally placed at a position to (greater than µmg/k and the equilibrium position is at¤ = 0) and released at rest,1. Using the conservation of energy, find the decrease of the oscillation amplitude after each cycle ofoscillation and number of cycles of oscillation the block will undergo before it finally comes to arest.2. Find the final position of the block.3. Find a (t) and i(t) after the block is released and plot the curve (t) vs. t, at least for the firsttwo cycles of oscillation.4. Plot the corresponding phase diagram.

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