# 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. ## 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

## 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

## 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 