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physics

mechanics

Easy

Question

The minimum height of the obstacle so that the sphere can stay in equilibrium is (R is radius of the sphere)

$\frac{R}{1 + \sin θ}$
$\frac{R}{1 + \cos θ}$
$R (1 - \sin θ)$
$R (1 - \cos θ)$

The correct answer is: $R (1 - \cos θ)$

$text If end text theta text is angle between direction of end text mg text and normal to incline passing through centre of sphere, end text cos invisible function application theta equals open parentheses fraction numerator R minus h over denominator R end fraction close parentheses$

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