Limited access

Upgrade to access all content for this subject

Cinsy Krehbiel. Created for Albert.io. Copyright 2016. All rights reserved.

The sculpture in the diagram above has four identical beads that are spread at even intervals across a solid $3.0\text{ m}$ pipe. The beads are solid, with uniform density. They each have a radius of $16\text{ cm}$ and a mass of $5\text{ kg}$; the pipe has a mass of $20.0\text{ kg}$. The pipe reaches from the center of the left-most bead to the center of the right-most bead.

Rotational Inertia Equations

Shape Axis Rotational Inertia
Solid Sphere Center $I=\cfrac{2}{5}\text { } mr^2$
Solid Rod Center; perpendicular to length $I = \cfrac{1}{12}\text{ }mL^2$
Solid Rod End; perpendicular to length $I=\cfrac{1}{3}\text{ }mL^2$
Point Mass $I =mr^2$


Determine the rotational inertia of the sculpture, about an axis of rotation perpendicular to the sculpture, running through the middle, as shown by the dotted line in the diagram.

A

$I = 33 \text{ kg} \cdot \text{m}^2$

B

$I = 40 \text{ kg} \cdot \text{m}^2$

C

$I = 51 \text{ kg} \cdot \text{m}^2$

D

$I = 62 \text{ kg} \cdot \text{m}^2$

E

$I = 85 \text{ kg} \cdot \text{m}^2$

Select an assignment template