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A rough inclined plane is inclined at 30...

A rough inclined plane is inclined at 30° to the horizontal as shown in the figure. A uniform chain of length L is partly on the inclined plane and partly hanging from the top of the incline. If the coefficient offriction between chain and inclined plane is `mu`, the maximum length of the lianging part to prevent the chain from falling vertically is:

Text Solution

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`sigmaxg=sigma(L-x)g sin30+mu sigma(L-x)g cos 30`
`x=(L-x)1/2+mu(L-x)sqrt3/2" " :. x=((1+sqrt3mu)L)/(sqrt3+(mu+sqrt3))`
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