First slide

Kinematics of rotational motion about fixed axis

Question

A rod AB of length l is moving in a plane and at an instant of time velocities of its ends A and B are 4V and V as shown in figure. Then angular velocity of the rod is

Moderate

A

$\frac{3 V}{l}$
B

$\frac{5 V}{l}$
C

$\frac{4 V}{l}$
D

zero

Solution

Velocity of A relative to B, $V_{\frac{A}{B}} = 4 V + V = 5 V$
$∴ ω = \frac{V_{A / B}}{l} = \frac{5 V}{l}$

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