A particle moves in a circle of radius R at constant angular speed Omega the maximum and minimum angular speed of the particle about the point in the plane circle at a distance 3R from the centre are respectively
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Allow the particle to go from point P to point Q.
In the diagram, the triangle is an isosceles triangle.
OP=OQ=R
Let ∠POQ=x
Using sine law:
sin( 2 180°−x)
OP= sinx PQ
sin2A=2sinAcosA ∴
PQ=2Rsin( 2 x)=2Rsin( 2 θ)
Explanation:
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