$P1.$ The bent rod shown is supported by a smooth surface at $B$ and by a collar at $A,$ which is fixed to the bent rod and is free to slide over the fixed smooth inclined rod. Neglect the weight of the bent rod.

a$)$ Draw the free$-$body diagram of the bent rod.

b$)$ Write the three scalar equilibrium equations $F_x=0,F_y=0,$ and $M_A=0.($Do not solve the equations in this part!$)$

c$)$ By solving the equations obtained in part $($b$),$ determine the support reactions at A and $B.$

Note: In solving the problem, take the magnitudes of the force and the couple moment shown in the figure as

$F=153N$

$M=21Nm.$