Torque It!

Classical Mechanics Level 2

Let F be a force acting on a particle having position vector R . Let ᴦ be the torque of this force about the origin, then:

(All bold symbols are vectors)

R ∘ ᴦ ≠ 0 R \circ ᴦ \neq 0 and F ∘ ᴦ = 0 F \circ ᴦ = 0 R ∘ ᴦ ≠ 0 R \circ ᴦ \neq 0 and F ∘ ᴦ ≠ 0 F \circ ᴦ \neq 0 R ∘ ᴦ = 0 R \circ ᴦ = 0 and F ∘ ᴦ ≠ 0 F \circ ᴦ \neq 0 R ∘ ᴦ = 0 R \circ ᴦ = 0 and F ∘ ᴦ = 0 F \circ ᴦ = 0

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1 solution

Matthew Murray
Jan 19, 2018

Torque is the product of force and moment arm. Mathematically, r = R x F . Geometrically, this means that the torque vector is normal for both the moment-arm and force vectors. This means that the dot product between the torque vector and either of the two other vectors is zero.

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