Phys205A_Lecture30

Physics for Scientists & Engineers with Modern Physics (4th Edition)

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Lecture 30 Chapter 10 Torgue Work-Kinetic Energy theorem
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Torque z Torque, τ , is the tendency of a force to rotate an object about some axis z Torque is a vector, but we will deal with its magnitude here
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Torque, cont t = r F sin f = F d z F is the force z is the angle the force makes with the horizontal z d is the moment arm (or lever arm) of the force z The moment arm, d , is the perpendicular distance from the axis of rotation to a line drawn along the direction of the force z d = r sin Φ
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Torque, final z The horizontal component of the force ( F cos φ ) has no tendency to produce a rotation z Torque will have direction z If the turning tendency of the force is counterclockwise, the torque will be positive z If the turning tendency is clockwise, the torque will be negative
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Net Torque z The force will tend to cause a counterclockwise rotation about O z The force will tend to cause a clockwise rotation about O z Στ = τ 1 + τ 2 = F 1 d 1 F 2 d 2 1 F r 2 F r
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Torque vs. Force and Work z Forces can cause a change in translational motion z Described by Newton’s Second Law z Forces can cause a change in rotational motion z The effectiveness of this change depends on the force and the moment arm z The change in rotational motion depends on the torque
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Phys205A_Lecture30 - Lecture 30 Chapter 10 Torgue...

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