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en/2.1.43.md
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| + | ### Statement | ||
| + | |||
| + | $2.1.43.$ [Insert the problem statement] | ||
| + | |||
| + | ### Solution | ||
| + | |||
| + | The shaft ( radius R) spins with angular velocity $ \omega$ , but the sleeve (bushing) is prevented from rotating by the counterweight. So at the contact surface between shaft and sleeve there is relative sliding made of two perpendicular components: | ||
| + | 1) a circumferential component, from the shaft's rotation: $ u = \omega R$ | ||
| + | 2) an axial component, from the sleeve's motion along the shaft: $v$ ( the steady-state velocity we want) | ||
| + | |||
| + | Since these | ||
| + | |||
| + | #### Answer | ||
| + | |||
| + | [Insert a concise answer or boxed result] | ||
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| ### Statement | |||
| $2.1.43.$ [Insert the problem statement] | |||
| ### Solution | |||
| The shaft ( radius R) spins with angular velocity $ \omega$ , but the sleeve (bushing) is prevented from rotating by the counterweight. So at the contact surface between shaft and sleeve there is relative sliding made of two perpendicular components: | |||
| 1) a circumferential component, from the shaft's rotation: $ u = \omega R$ | |||
| 2) an axial component, from the sleeve's motion along the shaft: $v$ ( the steady-state velocity we want) | |||
| Since these | |||
| #### Answer | |||
| [Insert a concise answer or boxed result] | |||