A ball is released from rest point P of a smooth semi-spherical vessel as shown is figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is a with respect to point P. Which of the following graphs represent the correct relation between A and a when ball goes from Q to R?
A ball is released from rest point P of a smooth semi-spherical vessel as shown is figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is a with respect to point P. Which of the following graphs represent the correct relation between A and a when ball goes from Q to R?
NLM at point Q
N – mg sin a =
- (1)
COE : between P & Q
- (2)
Centripetal force = 2mg sin a
N (Normal Reaction) = 2mg sin a + mg sin a
= 3mg sin a

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T1 = m (g + a)
T2 = m (g - a)
Apparent weight = mg – ma
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