Answer
a) $m_M=65kg$
b) $F_A=0N$
$F_B=1300N$
c) $F_A=813N$
$F_B=488N$
Work Step by Step
a) Calculate net force and net torque about point B and A
$F_A+F_B-F_M=650N$
$F_A(17.0m)+F_M(5.0m)=(650N)(5.0m)$
$F_B(12.0m)-F_M(17.0m)=(650N)(7.0m)$
Solve the system of equations using a matrix
$F_A=0N$
$F_B=1300N$
$F_M=650N$
$m_M=65kg$
b) $F_A=0N$
$F_B=1300N$
c) Calculate net force and net torque about point B and A
$F_A+F_B-650N=650N$
$-F_A(12.0m)+650N(10.0m)=-(650N)(5.0m)$
$F_A=813N$
$F_B=488N$
