The upper half of an incline 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 the bottom if the coefficient of friction for the lower half is given by
Text Solution
Verified by ExpertsThe correct answer is:
A
According to work-energy theorem,
W - Δ K = 0
( 
Initial and final speed are zero)
∴ Work done by friction + work done by gravity = 0
– ( μ mg cos φ ) 
+ mg l λ sin φ = 0
⇒ μ cos φ = 2 sin φ
⇒ μ = 2 tan φ
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A smooth block is released from rest on a 45º incline and then slides a distance d. The time taken …
The minimum force required to start pushing a body up a rough (friction coefficient µ) inclined pla…
Two masses m 1 = 5kg and m 2 = 10kg connected by an inextensible string over a frictionless pulley …