A ball of mass ' \( m \) ' is rotating in a circle of radius ' \( \...

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A ball of mass ' \( m \) ' is rotating in a circle of radius '
\( \mathrm{P} \)
\( r \) ' with speed \( v \) inside a smooth cone as shown in
W
figure. Let \( \mathrm{N} \) be the normal reaction on the ball by the cone, then choose the correct option.
(1) \( \mathrm{N}=\mathrm{mg} \cos \theta \)
(2) \( g \sin \theta=\frac{\mathrm{v}^{2}}{\mathrm{r}} \cos \theta \)
(3) \( \quad \mathrm{N} \sin \theta-\frac{\mathrm{mv}}{\mathrm{r}}=0 \)
(4) none of these
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