Work, Power and EnergyHard
Question
The upper half of an inclined plane with inclinations perfectly smooth while the lower half is rough. A body starting from the rest at the top will again come to rest at the at the bottom if the coefficient of friction for the lower half is given by
Options
A.tan θ
B.2tan θ
C.2cos θ
D.2sin θ
Solution
Refer to figure. in the journey over upper half of incline, v2 - u2 = 2 as
v2 - 0 = 2 (g sin θ)
= g sin θ. s
In the journey over the upper the half of incline, v2 - u2 = 2 as
0 - gsinθ.s = 2 g(sin θ - μcosθ)
⇒ - sinθ = sinθ - μcosθ ⇒ μ = 
= 2tan θ
v2 - 0 = 2 (g sin θ)
= g sin θ. sIn the journey over the upper the half of incline, v2 - u2 = 2 as
0 - gsinθ.s = 2 g(sin θ - μcosθ)
⇒ - sinθ = sinθ - μcosθ ⇒ μ = = 2tan θCreate a free account to view solution
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