Question # A cubical block of side L rests on a rough horizontal surface with coefficient of friction ( mu . ) A horizontal force ( F ) is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is:

# A cubical block of side L rests on a rough horizontal surface with coefficient of friction ( mu . ) A horizontal force ( F ) is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is:

(A) infinitesimal

(B) ( mathrm{mg} / 4 )

( (mathrm{C}) mathrm{mg} / 2 )

( (mathrm{D}) mathrm{mg}(1-mu) )

Solution

A-l the critical condition

morraal reaction wir ( N ) will pess through point ( p )

In this condidin

[

tau_{N}=0=tau_{f r}

]

(about P)

the block will topple when

[

tau_{F}>2 m_{3} quad text { or } f(x)(operatorname{mg}) frac{L}{2}

]

". minimum force required to

topple the block is ( f=m g )

option ( (C) ) is correct

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