Rotation on a Frictionless Table

Rotation on a Frictionless Table#

A mass \(m_1\) is connected to a mass \(m_2\) by a massless string that passes through a hole in a table as shown in the figure below. Mass \(m_1\) rotates about the hole with radius \(r\), while mass \(m_2\) hangs below the table. The angular velocity \(\omega\) of mass \(m_1\) is such that \(m_2\) remains at rest.

A mass m1 is shown rotating in a circle of radius r on a table. The mass m1 is connected to another mass m2 by a string that passes through a hole in the table.

Part 1#

What is the centripital force \(F_c\) acting on mass \(m1\)?

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

For

Use

\(m_1\)

m1

\(m_2\)

m2

\(g\)

g

\(r\)

r

Answer Section#

Part 2#

What is the velocity of mass \(m_1\)?

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

For

Use

\(m_1\)

m1

\(m_2\)

m2

\(g\)

g

\(r\)

r

Answer Section#

Part 3#

What is the angular velocity of mass \(m1\)?

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

For

Use

\(m_1\)

m1

\(m_2\)

m2

\(g\)

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.