First slide

Rotational motion

Question

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?

Easy

A

15^o
B

30^o
C

45^o
D

60^o

Solution

The cube will not topple until the line of action of CM passes through the point A of cube
$That is, \tan θ = \frac{A X}{O X} = \frac{a / 2}{a / 2} or θ = 45^{\circ}$

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