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 centre of mass (see figure). If the coefficient of friction is

Question

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 centre of mass (see figure). If the coefficient of friction is $μ = 0.4$ , the maximum possible value of $100 \times \frac{b}{a}$ for a box not to topple before moving is ________

TestHub · Accepted Answer

For no toppling F a 2 + b ≤ m g a 2 μ a 2 + μ b ≤ a 2 0 . 2 a + 0.4 b ≤ 0.5 a 0.4 b ≤ 0.3 a b ≤ 3 a 2 b ≤ 0.75 a (in limiting case) But it is not possible as b can maximum be equal to 0 . 5 a ∴ 100 b a m a x = 50.00

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