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183_notes:torque [2015/10/14 15:39] – [Torques Cause Changes in Rotation] caballero | 183_notes:torque [2018/05/30 18:20] – hallstein | ||
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+ | Section 5.4 and 11.4 in Matter and Interactions (4th edition) | ||
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===== Torques Cause Changes in Rotation ===== | ===== Torques Cause Changes in Rotation ===== | ||
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$$\vec{\tau}_A = \langle 0, | $$\vec{\tau}_A = \langle 0, | ||
- | Notice that if the lever arm point in the same (or precisely opposite directions) the torque is zero. The cross product of two parallel or anti-parallel vectors is zero. | + | Notice that if the applied force and the lever arm point in the same (or precisely opposite directions) the torque is zero. The cross product of two parallel or anti-parallel vectors is zero. |
==== Sign of the Torque comes from the Right-Hand Rule ==== | ==== Sign of the Torque comes from the Right-Hand Rule ==== | ||
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==== The Net Torque Causes Changes in Rotation ==== | ==== The Net Torque Causes Changes in Rotation ==== | ||
- | Just like you read for forces, there can be multiple torques applied to an object. That is, there might be forces applied at different locations | + | Just like you read for forces, there can be multiple torques applied to an object. That is, there might be forces applied at different locations |
$$\vec{\tau}_{net} = \sum_i \vec{\tau}_i$$ | $$\vec{\tau}_{net} = \sum_i \vec{\tau}_i$$ | ||
- | The sign of each torque is incredibly important for determining the net torque. It is the net torque that causes changes in rotation, just like it is the net force that causes changes in translation. | + | The sign of each torque is incredibly important for determining the net torque. It is the net torque that causes changes in rotation, just like it is the [[183_notes: |
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+ | ==== Examples ==== | ||
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+ | * [[: |