Two insects P and Q are firmly sitting at the ends of a massless semicircular wire of radius R and two more insects A and B are firmly sitting at the bottom of the wire. The wire is given an angular velocity ω0 about a vertical axis through its centre as shown in the figure. Mass of each insect is M. Now A and B crawl to the opposite ends to meet P and Q. Final angular velocity attained by the rod is equal to

Engineering

Physics

Collision

Moment of Inertia

Angular Momentum and Conservation of Angular Momentum

Question

Two insects P and Q are firmly sitting at the ends of a massless semicircular wire of radius R and two more insects A and B are firmly sitting at the bottom of the wire. The wire is given an angular velocity ω₀ about a vertical axis through its centre as shown in the figure. Mass of each insect is M. Now A and B crawl to the opposite ends to meet P and Q. Final angular velocity attained by the rod is equal to

$\frac{ω_{0}}{2}$

$\frac{ω_{0}}{4}$

2 ω₀

ω₀

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

${\vec{L}}_{i}$ = ${\vec{L}}_{f}$
(2mR^a) ω₀ = (2mR² + 2mR²) w'
w' = $\frac{ω_{0}}{2}$