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Figure shows a block kept on a rough inc...


Figure shows a block kept on a rough inclined plane. The maximum external force down the incline for which the block remains at rest is 1 N while the maximum external force up the incline for which the block is at rest is 7 N. The coefficient of static friction `mu` is:

A

`(sqrt3)/(2)`

B

`(1)/(sqrt6)`

C

`sqrt3`

D

`(4)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
D


Cese I: When block is about to slide down
`1+mgsintheta=mumgcostheta`
Case II: When block is about to slide up
`mgsintheta+mumgcostheta=7`
From (1) and (2) `mu=(4)/(3sqrt(3))`
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