Consider a uniform cubical box of side a on a rough floor that is to be moved by applying minimum possible force F at a point b above its center of mass (see figure). If the coefficient of friction is μ=0.4, the maximum possible value of 100×ba for box not to topple before moving is _____
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answer is 0075.00.
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Detailed Solution
Sliding should not occur , F=μmg ................1Toppling should not occur, Fb+a2=mga2 ...............2⇒μmgb+a2=mg×a2⇒b+a2μ=a2⇒0.4=μ=a2b+a⇒0.8b+0.4a=a⇒0.8b=0.6a ⇒ba=34 ⇒ba×100=34×100=75