A thin but rigid semicircular wire frame of radius r is hinged at O and can rotate in its own vertical plane. A smooth peg P starts from O and moves horizontally with constant speed v0, lifting the frame upward as shown in figure. Find the angular velocity of the frame when its diameter makes an angle of 60° with the vertical :
This was an interesting question I came across
My work: Here, for the ring to be pulling upward completely it would have to be rotated by an angle pi/6. wt=pi/6 The horizontal displacement when the ring is rotated would be vt=(2-√3)r Thus w=pi/6(v(2-√3)r)
The options were a)v/r b)v/2r c)2v/r d) vr
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