I am a bit stumped on a IRL problem, which i simplified in the diagram below:
There are left and right beams (gray) linked together by a friction hinge. The bottom beam (black) is connected to the left and right beam by a frictionless pivot point (on the right), and another frictionless pivot point w/ a slider (on the left). There are magnets (green) embedded on the left and right beams that are attracting the magnets embedded on the bottom beam.
Given the following variables:
distances/lengths: A,H,B and C
torque of the friction hinge: T_friciton_hinge
attraction force of magnet: F_magnet1 and F_magnet2
Assume perfectly rigid beams.
Solve the maximum downward force (F_load) possible before the friction hinge rotates
Here what I tried to do to solve for F_load:
Let me know if my thought process is unreasonable.