Two blocks are fastened onto strings inside an elevator, as shown in Figure $8.$ The mass of the top block is $1\mathrm{.}2$ kg $,$ and the mass of the bottom block is $1\mathrm{.}8$ kg $.$ The elevator is accelerating up at $1\mathrm{.}2\frac{m}{s}2.K$

$($a$)$ Calculate the tension in each string. $[$ans: top string: $33$ N ; bottom string: $20$ N $]$

$($b$)$ The maximum tension the strings can withstand is $38$ N $.$ Determine the maximum acceleration of the elevator that will not break the strings. $[$ans: $2\mathrm{.}9\frac{m}{s}2[$up$]]$