A rod of weight w is supported by two parallel knives at end points A and B and is in equilibrium in a horizontal position. The knives are at a distance 'd' from each other. The centre of mass of the rod is at a distance 'x' from A.
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Question

A rod of weight w is supported by two parallel knives at end points A and B and is in equilibrium in a horizontal position. The knives are at a distance 'd' from each other. The centre of mass of the rod is at a distance 'x' from A.

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G1 Physics · Accepted Answer

Use τ⃗=r⃗×F⃗ and Στ=Iα. For equilibrium, set ΣF=0 and Στ=0; for impending toppling take moments about the contact edge. Substituting the stated dimensions/forces gives Normal reaction at B = wx/d.