A parabolic bowl with its bottom at origin has the shape y = x 2 /20. Here x and y are in meters, the maximum height at which a small mass m can be placed on the bowl without slipping (coefficient of static friction is 0.5) is-
Text Solution
Verified by ExpertsThe correct answer is:
B
For the equation
µN = mg sin θ
⇒ µmg cos θ = mg sin θ ⇒ tan θ = µ = 
...(i)
From equation y = 
⇒ tan θ = 
= 
.... (ii)
From (i) & (ii), x = 5, so y = 1.25
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