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A body is allowed to slide on a frictional less track from rest under-gravity. The track ends in a circular loop of diameter D. What should be the minimum height of the body in terms of D, so that it may successfully complete the loop? (a) D (b)4/5 D (c)5/4 D (d) 2D

A body is allowed to slide on a frictional less track from rest under-gravity. The track ends in a circular loop of diameter D. What should be the minimum height of the body in terms of D, so that it may successfully complete the loop?
(a) D
(b)4/5 D
(c)5/4 D
(d) 2D

Grade:Upto college level

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
Dear student

The answer is option c

Regards
Vikas TU
14149 Points
one year ago
Velocity at bottom of loop to do complete circular motion is √5gr , where r is radius.
By applying conservation of energy :
mgh=(1/2)*m(5gd/2)
h=5d/4

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