Problem $5.$

$5\mathrm{.}1.$ Determine the largest angle $($theta$)$ for

which the uniform box can be in equilibrium.

$($CONSIDER $2-$DECIMAL PLACES; NO NEED

TO WRITE THE UNIT$)*(10$ Points$)$

A uniform box is placed in a position along the

inclined plane which makes an angle $$ from

the horizontal. Coefficient of static friction

$=0\mathrm{.}45.$

Enter your answer

$5\mathrm{.}2.$ If the angle $($theta$)$ equals $32$ degrees, determine the greatest height $"h",$ in meter,

parallel to the $1\mathrm{.}20m.$ height of box at which a force $P$ parallel to the inclined maybe

applied so that the block will slide up the incline without tipping over. $($CONSIDER $2-$

DECIMAL PLACES; NO NEED TO WRITE THE UNIT$)*(15$ Points$)$

Enter your answer

$5\mathrm{.}3.$ If the force $P$ is applied at a height of $h=0\mathrm{.}58m.,$ determine the force $P$ to cause

motion to impend. Assume weight of block is $8KN.($CONSIDER $2-$DECIMAL PLACES;

NO NEED TO WRITE THE UNIT$)*(15$ Points$)$