Angular Impulse and Angular Momentum

[krnhseya]

Homework Statement

Mass of both end, distance from the pin point, height of the plug and its mass, angular velocity are given.
Need to fine angular velocity w of the arm immediately after plug has wedged itself in the block.

Homework Equations

(Ho)o = (Ho)horizontal

The Attempt at a Solution

1) 2(v1)(0.5) = (4+2)(0.5w)(0.5) + 6(0.3w)0.3
2) v^2 = vo^2 - 2g(y-yo) -> calculate v and substitute in v1

I find w to be a number smaller than 2 rad/s which is given and i know it's CW.
I just want to double check my work. thanks.

 

[krnhseya]

if someone can guide me to right direction i'd really appreciate it. :)

 

[krnhseya]

whats the significance of 2 rad/s?