A stick is resting on a concrete step with of its total length L hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at 0 = 62.1° with respect to the horizontal, as shown in the figure. If the mass of each bug is 2.92 times the mass of the stick and the stick is 10.3 cm long, what is the magnitude a of the angular acceleration of the stick at the instant shown? Use 8 = 9.81 m/s². α= rad/s² 0

icon
Related questions
Question
### Physics Problem: Angular Acceleration of a Stick with Ladybugs

A stick is resting on a concrete step with \( \frac{2}{5} \) of its total length \( L \) hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at \( \theta = 62.1^\circ \) with respect to the horizontal, as shown in the figure.

If the mass of each bug is 2.92 times the mass of the stick and the stick is 10.3 cm long, what is the magnitude \( \alpha \) of the angular acceleration of the stick at the instant shown? Use \( g = 9.81 \, \text{m/s}^2 \).

\[
\alpha = \quad \text{rad/s}^2
\]

### Figure Description

The diagram depicts a stick partially hanging over a concrete ledge. The stick is labeled with:

- Length \( L \)
- Angle \( \theta = 62.1^\circ \) with respect to the horizontal
- Two ladybugs, one positioned at each end of the stick

The stick is tipped over the edge, resting at the indicated angle \( \theta \).

*Note: The figure is not to scale.*

For any further details or explanation on the problem or solution, please proceed to the related lesson on rotational motion and angular acceleration.
Transcribed Image Text:### Physics Problem: Angular Acceleration of a Stick with Ladybugs A stick is resting on a concrete step with \( \frac{2}{5} \) of its total length \( L \) hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at \( \theta = 62.1^\circ \) with respect to the horizontal, as shown in the figure. If the mass of each bug is 2.92 times the mass of the stick and the stick is 10.3 cm long, what is the magnitude \( \alpha \) of the angular acceleration of the stick at the instant shown? Use \( g = 9.81 \, \text{m/s}^2 \). \[ \alpha = \quad \text{rad/s}^2 \] ### Figure Description The diagram depicts a stick partially hanging over a concrete ledge. The stick is labeled with: - Length \( L \) - Angle \( \theta = 62.1^\circ \) with respect to the horizontal - Two ladybugs, one positioned at each end of the stick The stick is tipped over the edge, resting at the indicated angle \( \theta \). *Note: The figure is not to scale.* For any further details or explanation on the problem or solution, please proceed to the related lesson on rotational motion and angular acceleration.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions