A rectangular block has a square base measuring `axxa` and its height is `h`. It moves on a horizontal surface in a direction perpendicular to one of the edges. The coefficient of friction is `mu`. It will topple if

Options

A. `mu gt h/a`
B. `mugta/h`
C. `mugt(2a)/h`
D. `mugta/(2h)`

Answer

B

Explanation

For safe motion `Nx ge mg mu h/2`
`mga/2 ge mg mu h/2`
`a/h ge h` (for safe motion)
for toppling `mu gt a/h`