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A cubical box of side a sitting on a rou...

A cubical box of side a sitting on a rough tabletop is pushed horizontally with a gradually increasing force until the box moves. If the force is applied at a height from the table top which is greater than a critical height H , the box topples first. If it is applied at a height less than H , the box starts sliding first. Then the coefficient of friction between the box and the table top is

A

`(a)/(2H)`

B

`(2H)/(a)`

C

`(a)/(H)`

D

`(H)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
A
`F= mu mg`
`FH= "mg" (a)/(2)`
By eq. (i) & (ii)
`mu= (a)/(2H)`
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