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Rotational or Angular Motion
Angular displacement – vector to the plane of motion + counterclockwise pts up Clockwise pts down Ex. Screwdriver or water faucet
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s = r rotational vel. = /t v = s/t = r/t = r linear velocity referred to as tangental or translational
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See analogous eqns on p.305 a = r = f - i a = v/t t = it + ½ t2 s = vit + ½ at2 vf2 = vi2 + 2as f2 = i2 + 2
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ac = v2/r = r22/r = 2r KE = ½ mv2 = ½ I2 F = ma = I p = mv
ac = v2/r = r22/r = 2r KE = ½ mv2 = ½ I2 F = ma = I p = mv L = I F = p/t = L/t
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W = Fs = Fr = P = W/t = /t = = Fv See fig
W = Fs = Fr = P = W/t = /t = = Fv See fig. Total acceleration of pt on a rotating body is equal to the vector sum of the (ac2 + atangent2)0.5 = aresult
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Moment of inertia, I, resistance for a body to change rotational motion (kg.m2) See table of shapes. Inertia is unique to the shape of a body KE = ½ mv2 = ½(mr2)2 = ½ I2 (for thin ring)
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Torque: 2 methods: force applied to cause a body to rotate
= Fr = Fr
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