Question

9.51. A prism whose cross section is a regular polygon of $n$ sides rests on a horizontal face. An insect is crawling up the inside. The coefficient of friction between the insect and the inner faces is $\mu$. Show that the highest face that the insect can climb (counting the horizontal bottom face as one) is given by the expression $n/360 \times \tan^{-1}(\mu + 360/n)$.

Name: 9.51. A prism whose cross section is a regular polygon of n sides rests on a horizontal face. An insect is crawling up the inside. The coefficient of friction between the insect and the inner faces is μ. Show that the highest face that the insect can climb (counting the horizontal bottom face as one) is given by the expression n/360 ×tan^-1(μ + 360/n).
Uploaded: 2022-08-04T14:42:45-08:00
Duration: 2 min 48 s
Channel: Joseph P
Description: 9.51. A prism whose cross section is a regular polygon of n sides rests on a horizontal face. An insect is crawling up the inside. The coefficient of friction between the insect and the inner faces is μ. Show that the highest face that the insect can climb (counting the horizontal bottom face as one) is given by the expression n/360 ×tan^-1(μ + 360/n).

          9.51. A prism whose cross section is a regular polygon of $n$ sides rests on a horizontal face. An insect is crawling up the inside. The coefficient of friction between the insect and the inner faces is $\mu$. Show that the highest face that the insect can climb (counting the horizontal bottom face as one) is given by the expression $n/360 \times \tan^{-1}(\mu + 360/n)$.

9.51. A prism whose cross section is a regular polygon of n sides rests on a horizontal face. An insect is crawling up the inside. The coefficient of friction between the insect and the inner faces is μ. Show that the highest face that the insect can climb (counting the horizontal bottom face as one) is given by the expression n/360 ×tan^-1(μ + 360/n).

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University Physics with Modern Physics

Hugh D. Young 14th Edition

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9.51. A prism whose cross-section is a regular polygon of n sides rests on a horizontal face. An insect is crawling up the inside. The coefficient of friction between the insect and the inner faces is μ. Show that the highest face that the insect can climb (counting the horizontal bottom face as one) is given by the expression n/360.