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Torque

Torque. Definition. The tendency of a force applied to an object to cause rotation about an axis. r. F. r. F. Torque is a product of the moment arm (r) and the force F. Cross Product. t = r x F. i x i = 0 i x j = k i x k = -j j x i = -k j x j = 0 j x k = i

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Torque

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  1. Torque

  2. Definition The tendency of a force applied to an object to cause rotation about an axis.

  3. r F

  4. r F Torque is a product of the moment arm (r) and the force F

  5. Cross Product t = r x F i x i = 0 i x j = k i x k = -j j x i = -k j x j = 0 j x k = i k x i = j k x j = -i k x k = 0

  6. Right Hand Rule • Draw vectors so that tails coincide • Point fingers of right hand in direction of first vector (r) • Bend Fingers in direction of second vector (F) • Thumb points in direction of cross product

  7. Another equation t = r F sinq

  8. F r q

  9. Rotational “Second Law” t = Ia

  10. m = 10 kg • r = 1.5 m • F = 100 N • = 32o • = ½ MR2 a = ?

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