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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionDynamicsMedium3 minQB

PhysicsMediumsingle choice

A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola $y = 4 Cx^{2}$ and rotating with angular speed $ω$ (see figure). The value of $ω$ is (neglect friction) :

diagram

Options:

Answer:

Solution:

Bead at rest in the rotating frame: $m x ω^{2} cos θ = m g sin θ$ , so $x ω^{2} = g tan θ = g \frac{d y}{d x}$ .

$\frac{d y}{d x} = 8 C x \Rightarrow x ω^{2} = 8 g C x \Rightarrow ω = 2 2 g C$ - (B).

Stream:JEESubject:PhysicsTopic:Circular MotionSubtopic:Dynamics

⏱ 3mℹ️ Source: QB

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