---
title: Rotation on a Frictionless Table
topic: Rotational Dynamics
author: Jake Bobowksi
source: 2013 Midterm 2 002 Q5
template_version: 1.4
attribution: standard
partialCredit: true
singleVariant: false
showCorrectAnswer: false
outcomes:
- 6.2.1.2
- 6.12.2.0
- 6.12.1.1
difficulty:
- medium
randomization:
- 0
taxonomy:
- undefined
span:
- chapter
length:
- average
tags:
- MP
- JR
assets:
- Q5.png
part1:
type: symbolic-input
pl-customizations:
label: $F_c = $
variables: m1, m2, g, r
weight: 1
allow-blank: false
part2:
type: symbolic-input
pl-customizations:
label: $v = $
variables: m1, m2, g, r
weight: 1
allow-blank: false
part3:
type: symbolic-input
pl-customizations:
label: $w = $
variables: m1, m2, g, r
weight: 1
allow-blank: false
myst:
substitutions:
params:
vars:
title: Rotation on a Frictionless Table
---
# {{ params.vars.title }}
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 |
### 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](https://creativecommons.org/licenses/by-nc-sa/4.0/).

![The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.](https://raw.githubusercontent.com/firasm/bits/master/by-nc-sa.png)