Friction On Incline
A 5 kg block rests on a rough incline of angle 30°. Coefficient of static friction is 0.4. Will the block remain at rest? (g = 10 m/s²)
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About This Question
- Subject
- physics
- Chapter
- laws of motion
- Topic
- friction on incline
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
No, it slides down
- Resolve Weight Components:
- Component down-slope (F∥) =mgsin30∘=5×10×0.5=25 N.
- Component normal to slope (N) =mgcos30∘=5×10×23≈43.3 N.
- Limiting Static Friction (fmax):
- fmax=μsN=0.4×43.3=17.32 N.
- Comparison: The force trying to pull the block down (25 N) is greater than the maximum force friction can provide (17.3 N).
- Conclusion: Since F∥>fmax, the block cannot remain at rest and will slide down.
This medium difficulty physics question is from the chapter laws of motion, covering the topic of friction on incline. It appeared in the 2025 exam.
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