Question $3$

Figure $3$ shows a system, made from two blocks $\backslash ($ B $\backslash )$ and $\backslash ($ C $\backslash ),$ connects to the mass A by a rope. Given that the mass of B is $32$ kg and that of C is $50$ kg $,$ determine the maximum value of mass A before any slipping takes place.

Provided that the coefficient of static friction

$-$ Between block B and C is $0\mathrm{.}58$ ;

$-$ Between block C and the Ground Floor is $0\mathrm{.}33.$;

$-$ Between the rope and the fixed peg is $0\mathrm{.}45,$

Figure $3$