A body slides down a frictionless track which ends in a circular loop of diameter 𝐷. Then the minimum
height ℎ of the body in terms of 𝐷 so that it may just complete the loop, is

Question : A body slides down a frictionless track which ends in a circular loop of diameter 𝐷. Then the minimum height ℎ of the body in terms of 𝐷 so that it may just complete the loop, is

(A) h=\dfrac{5}{2}D

(B) h=\dfrac{3}{2}D

(C) h=\dfrac{5}{4}D

(D) ℎ = 2D

Answer : option (C)

Solution :

A body slides down a frictionless track which ends in a circular loop of diameter 𝐷. Then the minimum
height ℎ of the body in terms of 𝐷 so that it may just complete the loop, is
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