A vertical rectangular object of uniform mass M$=8$kg

has sides a$=0,34$m

and b$=0,61$m

$.$ It is pivoted from point O

as shown in the figure below. If a constant force of F$=142$N

$,$ making an angle of $\backslash$beta $=47$o

with diagonal is applied, determine the angular acceleration of the rectangle in SI units at the instant shown. Express your answer using one decimal places. Please use the convention: Clockwise $(+),$ Counterclockwise $(-)$ when expressing your answer.

Hint $1$: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass $($CM$)$ is ICM$=112$M$($a$2+$b$2)$

$.$

Hint $2$: Don't forget the force of gravity!!! Take g$=9\mathrm{.}80$m$/$s$2$A vertical rectangular object of uniform mass $M=8kg$ has sides $a=0,34m$ and

$b=0,61m.$ It is pivoted from point $O$ as shown in the figure below. If a constant force of

$F=142N,$ making an angle of $=47$ with diagonal is applied, determine the angular

acceleration of the rectangle in $SI$ units at the instant shown. Express your answer using

one decimal places. Please use the convention: Clockwise $(+),$ Counterclockwise $(-)$ when

expressing your answer.

Hint $1$: The moment of inertia of a uniform disk about an axis of rotation passing through the

center of mass $($CM$)$ is $I_{CM}=\frac{1}{12}M(a^2+b^2).$

Hint $2$: Don't forget the force of gravity!!! Take $g=9\mathrm{.}80\frac{m}{s^2}.$