Rotation on a Frictionless Table#

Question Text#

Mass \(m_1\) on the \(horizontal\) frictionless table of the figure is connected by a string through a hole in the table to a hanging mass \(m_2\). With what angular speed \(\omega\) must \(m_1\) rotate in a circle of radius \(r\) if \(m_2\) is to remain hanging at rest? Find an expression for \(\omega\) in terms of \(m_1\), \(m_2\), \(r\), and \(g\).

A mass (m1) is shown rotating in a circle of radius r on a table, connected to m2 through a hole in the table.

Note that it may not be necessary to use every variable. Use the following table as a reference for each variable:

For

Use

\(m_1\)

m_1

\(m_2\)

m_2

\(g\)

g

\(r\)

r

Answer Section#

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.