An overhead fold-up door, with height h and mass m, consists of two identical sections hinged at C. The roller at A moves along a horizontal guide, whereas the rollers at B and D, which are the midpoints of sections AC and CE, move along a vertical guide. The door’s operation is assisted by two identical springs attached to the horizontally moving rollers (only one of the two springs is shown). The springs are stretched an amount δ0 when the door is fully open.
Figure P7.79
Assuming that friction between the rollers and the guide can be neglected, determine the equation(s) of motion of the system.
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