A uniform chain is placed at rest on a rough surface of base length l and height h on an irregular surface as shown in figure Then the minimum coefficient of friction between the chain and the surface must be equal to

Options

A. `mu = (h)/(2l)`
B. `mu = (h)/(l)`
C. `mu = (3h)/(2l)`
D. `mu = (2h)/(3l)`

Answer

b

Explanation

For equilibrium
`int mu dmg cos theta ge int dmg sin theta`
`int mu lambda dl g cos theta ge int lambda dl g sin theta`
`mu int dl cos theta ge int dl sin theta ( :' sin theta = (dy)/(dt), cos theta = (dx)/(dt))`
` mu int dx ge int dy or mu i ge h`