Problem $tobe$ handed $in$

A right$-$angle bracket $is$ subjected $to$ three forces, $as$

shown:

$(a)$ Determine the magnitude $of$ the resultant $Fr$

and calculate its direction cosines.

$(b)In$ terms $ofx$ and $y,$ derive expressions for the

components $of$ the total moment $Mr$ about point $P.$

$(c)$ Find the values $ofx$ and $y$ for which $Fr$ and

$Mr$ point along the same line $(either$ the same $or$

opposite directions$).$ Hint: this $is$ where the direction cosines from part $(a)$ will come $in$ handy$-$

two vectors pointing along the same line have the same direction cosines.

$T$ Problem to be handed in

A right$-$angle bracket is subjected to three forces, as

shown:

$($a$)$ Determine the magnitude of the resultant vec$(F{)}_R,$

and calculate its direction cosines.

$($b$)$ In terms of $x$ and $y,$ derive expressions for the

components of the total moment vec$(M{)}_R$ about point $P.$

$($c$)$ Find the values of $x$ and $y$ for which vec$(F{)}_R$ and

vec$(M{)}_R$ point along the same line $($either the same or

opposite directions$).$ Hint: this is where the direction cosines from part $($a$)$ will come in handy$-$

two vectors pointing along the same line have the same direction cosines.

This procedure is called reduction to a wrench in mechanical engineering.his procedure $is$ called reduction $to$ a wrench $in$ mechanical engineering