The upper half of an inclined plane with inclination Φ is perfectly smooth, while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom, if the coefficient of friction for the lower half is given by (a) 2 sinΦ (b) 2 cosΦ (c) 2 tanΦ (d) tanΦ
Harshit Singh , 4 Years ago
Grade 12th pass
1 Answers
Pawan Prajapati
Last Activity: 4 Years ago
Answer ::
For the upper half of the inclined plane
v2=2a1s
Where a1 = g sinΦ
For the lower half of the inclined plane
0 = v2 – 2a2 s
Where a2 = μgcosΦ- g sinΦ
From the above equations
g sinΦ = μgcosΦ- g sinΦ
2g sinΦ = μgcosΦ
2 tanΦ = μ
Answer: (c) 2 tanΦ
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