VIPSolutionsThe coefficient of static friction between the axe and the wood in (Figure 1) is ps = 0.28. Figure Toft 0 i ; = v PartA Determine the largest angle 8 of the blade which will cause the axe to be self-locking. Neglect the. weight of the axe. Express your answer in degrees to three significant figures. “oom Previous Answers Request Answer
Question:
The coefficient of static friction between the axe and the wood in (Figure 1) is ps = 0.28.
Figure Toft
0 i
; =
v PartA
Determine the largest angle 8 of the blade which will cause the axe to be self-locking. Neglect the.
weight of the axe.
Express your answer in degrees to three significant figures.
“oom
Previous Answers Request Answer
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Asked by: Test User 100045
Created at: 2025-05-04 20:28:05
Asked by: Test User 100045
Created at: 2025-05-04 20:28:05
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Let's analyze the physics problem:
Given:
- The coefficient of static friction (μₛ) between the axe and the wood is **0.28**.
**To Find:**
- The largest angle θ of the blade for self-locking (where the axe will not slip out).
### Key Concept:
For self-locking, the angle θ (relative to vertical) must satisfy:
\[
\tan\theta \leq \mu_s
\]
So the largest angle is:
\[
\theta_{max} = \arctan(\mu_s)
\]
### Calculation:
\[
\theta_{max} = \arctan(0.28)
\]
\[
\theta_{max} \approx 15.64^\circ
\]
### Rounding to three significant figures:
\[
\theta_{max} \approx 15.6^\circ
\]
---
**The entered answer of 16.3° is not correct. The correct answer should be approximately 15.6°.**
---
**Final Answer:**
\[
\boxed{15.6^\circ}
\]
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