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Torque

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torques cause angular accelerations (where forces cause translational accelerations)

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Rotational Analog of Newton's First Law

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the rate of rotation of an object doesn't change, unless the object is acted on by a net torque

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Torque equation

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τ=rFsinθ

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Counter-clockwise motion (+ or - τ)

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Positive torque

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Clockwise motion (+ or - τ)

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Negative torque

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Right-hand rule of torque direction

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1. Point right-hand fingers in the direction of r 2. Curl fingers toward direction of F 3. Your thumb points (approx.) in direction of τ

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Conditions of mechanical equilibrium

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1. ΣF = 0 [a = 0] 2. Στ = 0 [α = 0]

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Center of Gravity equations

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y{c.g.}=Σm,y, / Σm, x{c.g.}= Σm,x, / Σm, z{c.g.}= Σm,z, / Σm,

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Serway Vuille College Physics – Chapter 8

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