Question

A frictionless track ABCDE ends in a circular loop
of radius R. A body slides down the track from
point A which is at a height h= 5 cm. Maximum
value of R for the body to successfully complete
the loop is :-
(1) 5 cm.​

Answer 1

Answer:

For the body to complete the loop, the velocity at the bottom must be √5gR.

Now, So, by Work energy theorem

mgh = 1/2mv^2 = 1/2 m (5gR)

2gh = 5gR

R = 2/5*h = 2/5*5 cm = 2 cm

So, the maximum value of R = 2 cm.

Answer 2

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