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Lecture10

Lecture10 - Chapter 10 Rotation PHYS 2101 P.M.Shikhaliev...

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Chapter 10 Rotation 1 PHYS 2101, P.M.Shikhaliev LSU, Fall 2010

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10.8. Torque The ability of a force F to rotate the body depends on both the magnitude of its tangential component F t , and also on just how far from O , the pivot point, the force is applied. To include both these factors, a quantity called torque t is defined as: t = r (Fsin ) = r F t , or t = (r sin ) F = r F , or = r F sin where r is called the moment arm of F . Unit of torque – Newton X meter same as of work, but torque is not measured in J 2 PHYS 2101, P.M.Shikhaliev LSU, Fall 2010
10.9. Newton’s 2 nd Law of Rotation Newton’s 2 nd law for rotation: t net = I net – net torque I – rotational inertia angular acceleration Compare to Newton’s 2 nd law for linear motion : F net = ma Proof: net = F t r = (ma t )r = m( r)r = (mr 2 ) = I 3 PHYS 2101, P.M.Shikhaliev LSU, Fall 2010

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10.10. Work and Rotational Kinetic Energy For translational motion: – kinetic energy-work theorem variable force constant force power For rotational motion: variable torque constant torque power – kinetic energy-work theorem 4 PHYS 2101, P.M.Shikhaliev LSU, Fall 2010
10.10. Work and Rotational Kinetic Energy 5 PHYS 2101, P.M.Shikhaliev LSU, Fall 2010

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Lecture10 - Chapter 10 Rotation PHYS 2101 P.M.Shikhaliev...

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