First slide

Law of conservation of angular momentum

Question

A thin uniform rod of mass ‘M’ and length ‘L' rotating about a perpendicular axis passing through its center with a constant angular velocity $' ω'$ .Two objects each of mass $\frac{M}{3}$ are attached gently to the two ends of the rod. The rod will now rotate with an angular velocity of :

Moderate

Solution

According To Law of Conservation of Angular Momentum.
$\begin{array}{l} L_{i} = L_{f} \\ \frac{M L^{2}}{12} \times ω = [\frac{M L^{2}}{12} + 2 \frac{M}{3} {(\frac{L}{2})}^{2}] ω_{f} \\ \frac{ω}{3} = ω_{f} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App