$1\mathrm{.}1$ There are various machine applications that experience the action for friction. Conditions in these applications are usually limiting static or kinetic friction, this depends on the motion occurring. Tabulate and briefly explain five $(5)$ machine applications.

$1\mathrm{.}2$ Figure $1$ shows a flexible cable, supporting a $100-kg$ load passed over a fixed circular drum and subjected to a force P to maintain equilibrium. The coefficient of static friction $$ between the cable and the fixed drum is $0\mathrm{.}30.$

$1\mathrm{.}2\mathrm{.}1$ For $=0,$ determine the maximum and minimum values P may have in order not to raise or lower the load.

$1\mathrm{.}2\mathrm{.}2$ For $P=500N,$ determine the minimum value the angle $$ may have before the load begins to slip.

Figure $1$: A flexible cable