A block of mass \( m \) is placed on a surface with a vertical cross section given by \( y=\frac...

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A block of mass \( m \) is placed on a surface with a vertical cross section given by \( y=\frac{x^{3}}{6} \). If the coefficient of friction is \( 0.5 \), the maximum height above the ground at which the block can be placed without slipping is
[JEE (Mains) 2014]
(a) \( 1 / 6 \mathrm{~m} \)
(b) \( 2 / 3 m \)
(c) \( 1 / 3 \mathrm{~m} \)
(d) \( 1 / 2 \mathrm{~m} \)
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