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FCT2013-14_CTY1315(Adv-Normal)_A-LOT_PHASE_II_PCM_I_CPT2-1_SET-A (1)

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Author: SRW1719 A03
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P38

(Paragraph Type)
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P39

This section contains 2 paragraphs. Based upon the first paragraph 2 multiple choice questions and based on the second paragraph 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.
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P40

Comprehension 1:
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A rod PQ of mass m = 2 kg and length l = 0.3 m is free to rotate about hinge in the vertical plane as shown in diagram. Initially the rod is vertical and released from this position. At t = 0, the rod PQ becomes horizontal.

P41

12.Velocity of center of rod at the instant t = 0 is
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(A) (B)

(C) (D)

P42

13.At the instant t = 0, suddenly hinge breaks. Then K.E. of the rod after 0.1 sec is
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P43

(A) 5 J(B) 7 J
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P44

(C) 10 J(D) none of these
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P45

Space for rough work
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P46


Comprehension 2:
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P47

Two men of mass m1 and m2 are standing at the ends A and B of the trolley, respectively. The mass of the trolley is M and its length is L. The two men can exchange their positions in three different ways:
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P48

Case I:m1 moves towards B with Urel and m2 remains stationary until m1 reaches its position; and then m2 starts moving and reaches the end A.
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P49

Case II:m2 moves towards A with Urel and m1 remains stationary until m2 reaches its position, and then m1 starts moving and reaches the end B.
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P50

Case III:Both moves with Urel with respect to trolley towards each other and reach then opposite ends.
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P51

14.Choose the correct statement(s) related to Case I
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P52

(a) As the man m1 moves, the trolley moves towards left and its velocity becomes maximum when it

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P53

reaches the end B.
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