A particle describes a horizontal circle in a conical funnel, whose inner surface is smooth, with a speed of 0.5 m s - 1 . What is the height (in cm ) of the plane of the circle from the vertex of the funnel?

Question

A particle describes a horizontal circle in a conical funnel, whose inner surface is smooth, with a speed of 0.5 m s - 1 . What is the height (in cm ) of the plane of the circle from the vertex of the funnel?,

MARKS App · Accepted Answer

N sin ⁡ θ = m g N cos ⁡ θ = m v 2 / r Dividing above equations ⇒ tan ⁡ θ = r g / v 2 ⇒ r h = r g v 2 ⇒ h = v 2 g = 2.5 c m

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