In which cases illustrated in Figure P12.5 does pushing in the way and at the location shown

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In which cases illustrated in Figure P12.5 does pushing in the way and at the location shown cause a torque about a vertical axis passing through the hinges? The dot shows the point of application of the force in each case, and the dashed lines help indicate the line of action of each force. Forces \((a),(b)\), and \((f)\) are exerted parallel to the gate; forces (c), (d), and (e) are exerted perpendicular to the gate.

Data from Figure P12.5

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