# Turnable Angular Frequency, Torque,Inertia

**1. The problem statement, all variables and given/known data**

Turntable at an angular speed of Wj. Consider it to be a thin solid cylinder of mass M and Radius R. A mass m nought falls and sticks to turntable at a distance r nought from center.

a) Find new Inertia, I

b) Find new Angular Frequency, W

c) Coefficient of static friction, µ s. What is the largest r so that mass does not slide off. Assume disk is spinning at W.

**2. Relevant equations**

Newtons second law of motion for each of the respective bobs mass M, Moment of Inertia, angular frequency 1/2mw^2

F=ma

**3. The attempt at a solution**

I drew the cylindrical turntable and made the equation. Because the equation for the moment of Inertia of cylinder is MR^2, the new Inertia with the additional bob of m, I got the new equation MR^2+mr^2. Could you help me find the angular frequency of this?

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