Vertical Component Reactions given angular velocity

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SUMMARY

The discussion focuses on calculating the vertical component reactions exerted by pin O on a pendulum consisting of a disk and a rod. The parameters include a disk mass (M1) of 15 kg, a radius (a) of 0.25 m, and an angular velocity (ω) of 8 rad/s. The moment of inertia for the rod and disk is calculated, with the rod's inertia given by the formula I = 1/12 ML² and the disk's inertia by I = 1/4 MR² + 1/12 ML². The participant expresses difficulty in incorporating angular velocity into the calculations, suggesting a need to consider centripetal acceleration and gravitational forces.

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Homework Statement



A pendulum consists of a disk of mass M1, and a slender rod of M2 (which happens to be 0kg),.

Determine the components of reaction that the pin O, exerts on the rod just as it passes the horizontal postion, at which time its angular velocity is ω.

Know we know M1 = 15kg
a which is radius of disk is 0.25m
Rod is 1m
=8rads/s
g= 9.81m/s2

Homework Equations



Well

I of rod=1/12 ML^2
I of disk=1/4 MR^2+ 1/12 ML^2
I=Icom + Mh^2
T=2pi sqrt(I/Mgh)

Now i don't know how I can fit in the angular velocity into this..

The Attempt at a Solution



Well I tried taking the moment from point O, and got 15*9.81 = 147.15N.
I got the moment of inertia = 23.67kgm^2

After that I am lost :(

I have attached a picture, if that might help.

THese problems are taking out of my dynamics textbook :/
 

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Hi!

I would assume it has to do something to do with the mass of the pendulum and the centripetal acceleration that the disk has due to its rotation. The force due to the rotation would be m*Omega^2*r. What about summing the force due to gravity and the one due to the centripetal acceleration? I hope this helps.
 

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