Question:medium
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 upwards as shown in the figure. Find the angular velocity ω of the frame when its diameter makes an angle of 60^∘ with the vertical.
\includegraphics[width=0.5\linewidth]34.png
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 upwards as shown in the figure. Find the angular velocity ω of the frame when its diameter makes an angle of 60^∘ with the vertical.
\includegraphics[width=0.5\linewidth]34.png
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For rigid rotation, relate angular speed using v=ω r.
Updated On: Mar 20, 2026
- \(\dfrac{v_0}{r}\)
- \(\dfrac{v_0}{2r}\)
- \(\dfrac{2v_0}{r}\)
- v₀ r
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The Correct Option is A
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