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Q.

A cube of side a is placed on an inclined plane of inclination θ. What is the maximum value of θ for which the cube will not topple?

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a

15o

b

30o

c

45o

d

60o

answer is C.

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Detailed Solution

The cube will not topple until the line of action of CM passes through the point A of cube That is, tan⁡θ=AXOX=a/2a/2 or θ=45∘
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A cube of side a is placed on an inclined plane of inclination θ. What is the maximum value of θ for which the cube will not topple?