Rotating Buckets

Contents

Rotating Buckets#

A pair of buckets are connected by a massless rod. As shown in the figure, the buckets rotate about an axis through the centre of mass of the two-bucket system.

Two buckets connected by a rod rotating anti-clockwise.

Part 1#

If each bucket has a mass $m$ and the rod has length $l$ , what is the rotational inertia of the system? Give your answer in terms of $m$ and $l$ . Treat the buckets as point masses and recall that $I = \sum_{i} m_{i} r_{i}^{2}$ .

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

For	Use
$m$	m
$l$	l

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.