Edits to “Statement”, “Solution”, “Answer”
en/2.8.16.md
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| ### Statement | |||
| − | $2.8.16.$ One coil of rope is wound on a cylindrical pole. To prevent the rope from sliding on the pole when it is pulled by one end with a force of | ||
| − | each other. | ||
| + | $2.8.16.$ One coil of rope is wound on a cylindrical pole. To prevent the rope from sliding on the pole when it is pulled by one end with a force of $F$, it is sufficient to hold the other end of the rope with a force of $f$. How will the holding force change if $n$ turns are wound on the pole? The coils of the rope do not touch each other. | ||
| ### Solution | |||
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| #### Answer | |||
| − | f=Fe^ | ||
| + | $$f=Fe^{2\mu\pi n}$$ | ||
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| ### Statement | ### Statement | ||
| $2.8.16.$ One coil of rope is wound on a cylindrical pole. To prevent the rope from sliding on the pole when it is pulled by one end with a force of |
$2.8.16.$ One coil of rope is wound on a cylindrical pole. To prevent the rope from sliding on the pole when it is pulled by one end with a force of $F$, it is sufficient to hold the other end of the rope with a force of $f$. How will the holding force change if $n$ turns are wound on the pole? The coils of the rope do not touch each other. | ||
| each other. | |||
| ### Solution | ### Solution | ||
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| #### Answer | #### Answer | ||
| f=Fe^ |
$$f=Fe^{2\mu\pi n}$$ | ||