To apply the equations of motion to a system that involves rotation about a fixed axis

and to use this information to determine key characteristics.

The slender rodAB shown has a mass of $m=77\mathrm{.}0kg$ and is being supported by

a rope and pulley system stationed at $C.$ Starting from rest $($in the position shown$),$

the rope and pulley system tug on the rod causing it to rotate about $A.$ The torque

applied to the pulley is $T=2\mathrm{.}85kN*m$ and has an effective moment arm of

$r=0\mathrm{.}120m.$ The dimensions shown in the figure are $l=2\mathrm{.}20m$ and

$h=1\mathrm{.}40m.$ Assume the pulley is frictionless and massless.

$($Figure $1)$

Determine the angular acceleration of the rod the instant the rope and pulley system have pulled the rod through an angle of $=3\mathrm{.}50.$

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

Part B $-$ Normal Component of the Reaction at $A$

Determine the normal component of the reaction the rod exerts on the pin at $A.$ Use the coordinate system set up by the free$-$body diagram below.

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

Figure

Part C $-$ Tangential Component of the Reaction at $A$

Determine the tangential component of the reaction the rod exerts on the pin at $A.$ Use the coordinate system set up by the free$-$body diagram below.