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| 183_notes:torque [2015/10/14 15:44] – [The Net Torque Causes 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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| ==== 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 and in different directions, which could (one their own) give rise to different rotations. The concept of a net torque is an important one because it helps you decide what the rotation will be (or even if there will be any rotation). The net torque is the vector sum of all the torques acting on an object. These torques must be computed around the same rotation axis (i.e., the lever arm for each force can be different, but this lever arm must be measured from the same rotation location). | + | 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 and in different directions, which could (on their own) give rise to different rotations. The concept of a net torque is an important one because it helps you decide what the rotation will be (or even if there will be any rotation). The net torque is the vector sum of all the torques acting on an object. These torques must be computed around the same rotation axis (i.e., the lever arm for each force can be different, but this lever arm must be measured from the same rotation location). |
| $$\vec{\tau}_{net} = \sum_i \vec{\tau}_i$$ | $$\vec{\tau}_{net} = \sum_i \vec{\tau}_i$$ | ||
| - | 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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| + | * [[: | ||