A $170-$lb block is placed on a $30$ incline and released from rest. The coefficient of static friction between the block and the incline ${}_s$ is $0\mathrm{.}34.($a$)$ Determine the maximum and minimum values of the initial tension $T$ in the spring for which the block will not slip when released. $($b$)$ Calculate the friction force $F($positive if up the slope, negative if down$)$ on the block if $T=105lb.$

Assume $W=170lb,=30.$

Answers:

$($a$)T_{\text{m}\text{a}\text{x}}=q,Ib,T_{\text{m}\text{i}\text{n}}=$ lb

$($b$)F=$ Ib