Circular MotionHardBloom L3

Question

A ball of mass ‘m’ is rotating in a circle of radius ‘r’ with speed v inside a smooth cone as shown in figure. Let N be the normal reaction on the ball by the cone, then choose the correct option.

Options

A.N = mg cos θ
B.g sinθ = $\frac{v^{2}}{r}$cos θ
C.Nsinθ – $\frac{mv^{2}}{r}$= 0
D.None of these

Solution

Sol.

N cos θ = mg

$N\sin\theta = \frac{mv^{2}}{r}$

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