PHY101_Chap8Fall09

# PHY101_Chap8Fall09 - Chapter 8 Rotational Equilibrium and...

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Chapter 8 Rotational Equilibrium and Rotational Dynamics

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Force vs. Torque Forces cause accelerations Torques cause angular accelerations Force and torque are related
Torque The door is free to rotate about an axis through O There are three factors that determine the effectiveness of the force in opening the door: The magnitude of the force The position of the application of the force The angle at which the force is applied

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Torque Torque, τ , is the tendency of a force to rotate an object about some axis τ = r F τ is the torque F is the force r is the length of the position vector SI unit is N . m
General Definition of Torque When the force is parallel to the position vector, no rotation occurs When the force is at some angle, the perpendicular component causes the rotation

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General Definition of Torque Taking the angle into account leads to a more general definition of torque: τ = r F sin θ F is the force r is the position vector θ is the angle between the force and the position vector
Net Torque The net torque is the sum of all the torques produced by all the forces Remember to account for the direction of the tendency for rotation Counterclockwise torques are positive Clockwise torques are negative

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Two frustrated people are trying to use the revolving door at the same time as in Fig.The door diameter is 2.6 m. Person 1 exerts 625 N at 1.2 m from the center. Person 2 exerts 850 N at 0.8 m
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PHY101_Chap8Fall09 - Chapter 8 Rotational Equilibrium and...

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