Questions
A bead of mass m stays at point P(a,b) on a wire bent in the shape of a parabola and rotating with angular speed (see figure). The value of is (neglect friction):
detailed solution
Correct option is C
For particle to be in equilibrium, mgsinθ = mxω2cosθ⇒tanθ=ω2xgAlso, y=4cx2⇒dydx=8cx=slope at point P=tanθEquating both values of tanθ we get, ω2xg=8cx⇒ω2=8cg⇒ω=8cg=22cgTalk to our academic expert!
Similar Questions
When a particle of mass m is suspended from a massless spring of natural length , the length of the spring becomes . When the same mass moves in conical pendulum as shown in figure, the length of the spring becomes L. The radius of the circle of conical pendulum is:
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