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?      

 

 

 

 

Option 1 - <p>a</p>
Option 2 - <p>b</p>
Option 3 - <p>c</p>
Option 4 - <p>d</p>
6 Views|Posted 4 months ago
Asked by Shiksha User
1 Answer
R
4 months ago
Correct Option - 2
Detailed Solution:

NLM at point Q

N – mg sin a =  m v 2 R  

N = m v 2 R + m g s i n α           - (1)

COE : between P & Q

m v 2 R = 2 m g s i n α               - (2)

Centripetal force = 2mg sin a

 N (Normal Reaction) = 2mg sin a + mg sin a

  = 3mg sin a

C e n t r i p e t a l f o r c e N o r m a l R e a c t i o n = 2 m g s i n α 3 m g s i n α = 2 3             

 

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Physics Laws of Motion 2025

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