Physics: Asolid uniform disk with a mass m and a radius r is pivoted around a horizontal axis through its center, and a small object with mass m is attached to the rim of the disk. if the disk is released from rest with the small object at the end of a horizontal radius, find the angular velocity of the small object at the bottom.

2200 is the answer to your question i believe...

Asolid uniform disk with a mass m and a radius

robert7248

12.01.2022

$\omega = \sqrt{\frac{4g}{3R}}$

Explanation:

By conservation of energy:

The initial energy of the system is: M*g*R

The final energy of the system is: $1/2*M*R^2*\omega^2+1/2*(1/2*M*R^2)*\omega^2$

$M*g*R=1/2*M*R^2*\omega^2+1/2*(1/2*M*R^2)*\omega^2$

Solving for ω:

$\omega=\sqrt{\frac{4g}{3R}}$

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