A rod of length, $ l $ is given two velocities, $ v_{1} $ and $ v_{2} $ in opposite directions at its two ends at right angles to the length. The distance of the instantaneous axis of rotation from $ v_{1} $ is

Question

A rod of length, $ l $ is given two velocities, $ v_{1} $ and $ v_{2} $ in opposite directions at its two ends at right angles to the length. The distance of the instantaneous axis of rotation from $ v_{1} $ is, $ 0 $, $ \frac{v_{1}}{v_{1}+v_{2}} l $, $ \frac{v_{2}}{v_{1}+v_{2}} l $, $ \frac{1}{2} $

MARKS App · Accepted Answer

Let, the distance of the instantaneous axis from v 1 = x . About the instantaneous axis of rotation, angular velocity of each point will be the same. So, ω v 1 = ω v 2 v 1 x = v 2 l - x x = v 1 v 1 + v 2 l .

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