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zorro
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Homework Statement
A solid cube is placed on a horizontal surface. The coefficient of friction between them is μ, where μ < 1/2. A variable horizontal force is applied on the cube's upper face, perpendicular to one edge and passing through the mid-point of edge, as shown in figure. The maximum acceleration with which it can move without toppling is
[URL]http://203.196.176.41/VLEBT_RootRepository/Resources/d5595700-11ed-4e99-9708-9bc47ea580ba.gif[/URL]
The Attempt at a Solution
I am getting two different answers with different approaches:
1) Torque about the point of rotation when the cube is about to topple
mg*L/2 = P*L + ma*L/2
P = mg/2 - ma/2
ma = P - μmg
3ma/2 = mg/2 - μmg
a = g(1-2μ)/3
2) Torque about the centre of mass
P*l/2 + μmg*L/2 = mg*L/2
P = mg - μmg
a = g(1-2μ)
Why different answers?
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