A thin wire is bent into the shape of a parabola in the vertical plane as shown. A small bead ‘P’ can freely slide along the wire. The coefficient of friction between the bead and the wire is 'μ'. The condition on y so that the bead does not slip on the wire is :
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
y≥2aμ
b
y≥2aμ
c
y≤2aμ
d
y≤2aμ
answer is B.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
GivenCoefficient of friction= μFrom diagram y2=4axDifferentiating on both sides 2ydydx=4a ⇒dydx=2ayFor bead to be stationary, slope of tangent on the curve dydx=tanθ≤μ⇒2ay≤μ⇒y≥2aμ