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In the Fig, shown below with what angula...

In the Fig, shown below with what angular speed ' `omega` ' must 'm' with a radius 'r' rotate on a frictionless table so that' M' does not move ? (b) If m = 1.0 kg, M = 10.0 kg and r = 0.5 m, find `omega`

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To solve the problem, we need to analyze the forces acting on the mass 'm' that is rotating on a frictionless table while being connected to a mass 'M' hanging vertically. ### Step-by-Step Solution: 1. **Identify the Forces**: - The mass 'M' hanging vertically exerts a gravitational force downwards, which is equal to \( M \cdot g \), where \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)). - The tension \( T \) in the string acts upwards on mass 'M' and provides the necessary centripetal force for mass 'm' to rotate. ...
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