JEE AdvancedCircular MotionHard
Question
A machine, in an amusement park, consists of a cage at the end of one arm, hinged at O. The cage revolves along a vertical circle of radius r (ABCDEFGH) about its hinge O, at constant linear speed v = 
. The cage is so attached that the man of weight ′w′ standing on a weighing machine, inside the cage, is always vertical. Then which of the following is correct
. The cage is so attached that the man of weight ′w′ standing on a weighing machine, inside the cage, is always vertical. Then which of the following is correctOptions
A.the weight reading at A is greater than the weight reading at E by 2 w.
B.the weight reading at G = w
C.the ratio of the weight reading at E to that at A = 0
D.the ratio of the weight reading at A to that at C = 2.
Solution
Speed of cage = 
= const.
Normal reaction at (weight reading)
NA − mg =
NA = 2mg = 2w Ans.
Weight reading at G & C = mg = w Ans.
weight reading at E
mg − NE =
NE = 0 Ans.
= const.Normal reaction at (weight reading)
NA − mg =
NA = 2mg = 2w Ans.
Weight reading at G & C = mg = w Ans.
weight reading at E
mg − NE =
NE = 0 Ans.
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