On a horizontal smooth plane, a particle collides with the rod hinged at one point(as shown in the figure) and sticks to it. Find the final angular velocity of the system.

$\frac{3 m_{2} u l}{m_{2} + 3 m_{1}}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{3 m_{1} u}{(m_{2} + 3 m_{1}) l}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$\frac{3 m_{1} u}{(m_{2} + 3 m_{1}) l}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{2 m_{1} u l}{3 (m_{2} + 3 m_{1})}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$\frac{3 m_{1} u}{(m_{2} + 3 m_{1}) l}$

(a) $τ_{H} = 0$ see L about hinge is conserved initially $L_{H} = m_{1} u l$

finally $L_{H} = (\frac{m_{2} l^{2}}{3} + m_{1} l^{2}) ω \Rightarrow ω = \frac{3 m_{1} u}{(m_{2} + 3 m_{1}) l}$

Suggest Corrections

Similar questions

On a horizontal smooth plane, a particle collides with the rod hinged at one point(as shown in the figure) and sticks to it. Find the final angular velocity of the system.

In a horizontal smooth plane. If a particle sticks after collision to the rod, find the final angular velocity .

An extensible string is woung over a rough pulley of mass $m_{1}$ and radius R; and a cylinder of mass $m_{2}$ and radius R such that as the cylinder rolls down the string un-wounds over the pulley as well the cylinder. Find the linear acceleration of the cylinder.