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Can the force on a single gate hinge ever be more than the weight of . . . Let's take the lower hinge as the point about which the gate might rotate, then there is a clockwise torque Mgw 2 M g w 2 owing to the weight of the gate, and an anticlockwise torque Fxh F x h owing to the force provided by the top hinge These must be balanced so we have: = = We now have almost all the information we need
What causes a tall box to tip over on an inclined plane? I'm wondering what makes a tall box rotate about its edge (the red point on the figure below) on a inclined plane (with or without slipping), when subjected to forces of gravity and friction only: