A block of mass m is released from top of a smooth track as shown in the figure. The end part of the track is a circle in vertical plane of radius R. N is normal reaction of the track at any point of

Question

A block of mass m is released from top of a smooth track as shown in the figure. The end part of the track is a circle in vertical plane of radius R. N is normal reaction of the track at any point of the track. Match the entries of List-I with entries of List-II.

track with loop

List-I	List-II
(P) $h = \frac{5}{2} R$	(1) Net force on the block at C is mg
(Q) $h = \frac{9}{2} R$	(2) $N_{A} - N_{B} = 6 m g$
(R) $h = R$	(3) Block leaves contact before B
(S) $h = 2 R$	(4) Block will keep contact with the track in complete region between A & B.
-	(5) $N_{C} > m g$

TestHub · Accepted Answer

(P) h = 5 R /2 : v A ​ = 5 g R ​ completes the circle; N A ​ − N B ​ = 6 m g and N C ​ = 3 m g > m g - P → 2 , 4 , 5 . (Q) h = 9 R /2 : v A ​ = 9 g R ​ , N C ​ = 7 m g > m g , contact kept throughout - Q → 2 , 4 , 5 . (R) h = R : v C ​ = 0 , N C ​ = 0 , so net force at C is just mg - R → 1 . (S) h = 2 R : v A ​ = 2 g R ​ , leaves contact between B and C, and N C ​ = 2 m g > m g - S → 3 , 5 . Hence option (C).

Physics - W.E.P. Question with Solution | TestHub

Options:

Doubts & Discussion