00:01
In this problem, vf asked to calculate the angular velocity at the given instant of time.
00:07
So we need to calculate omega.
00:10
In order to calculate this angular velocity, we apply the law of conservation of energy, which is written as t i plus v i is equals to tf plus vf.
00:21
We call it equation number a.
00:26
Now let's calculate these energies.
00:29
T i which is the initial kinetic energy is equals to zero jou.
00:33
System is at west initially we can write the initial potential energy which is also equal to zero the final kinetic energy will be tf which is equals to 1 divided by 2 ig omega square plus 1 divided by 2 mvg square here this moment of inertia ig is written as ig is equal to 1 divided by 12 m l square and and we can write this vg as vg is equal to ric omega.
01:16
Here this ric is written as ric is equal to square root of one square plus two into one, sorry, one square plus 4 .3301 whole square, minus 2 into 1 into 4 .3301 into cosine of 30 degree and the square root is up to this point...