First slide

Conservation of mechanical energy

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

Moderate

A

5 cm
B

$\frac{15}{4} cm$
C

$\frac{10}{3} cm$
D

2 cm

Solution

Condition for vertical looping $h = \frac{5}{2} r = 5 cm ∴ r = 2 cm$

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