Question

A small ball is rolled with speed `u` from piont A along a smooth circular track as shown in figure. If `x=3R`, then

`What is the minimum value of x for which the ball can reach the point of projection after reaching C?
A. (a) `2R`
B. (b) `5R`
C. (c) `3R`
D. (d) `5/2R`

Answer 1

Correct Answer - A
Minimum velocity at `C: v_C=sqrt(gR)`
Range, `v_Csqrt((2xx2R)/(g))=2R`
This is the minimum value of x.