A cube ABCD of side a is placed on an inclined surface. The angle of inclination is θ. Determine the maximum value of θ for which the cube will not topple?
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a
150
b
300
c
450
d
600
answer is C.
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Detailed Solution
The cube will not topple until the line of action of CM passes through the cube.That is, tanθ=AXOX=a2a2 or θ=45∘