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Q.

The blocks 1 and 2 in the arrangement have mass m each. The strings AB and BC are light, having tension T1andT2 respectively. The system is in equilibrium with a constant horizontal force mg acting on C. Then 

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a

T2=2mg

b

tanϕ1=12

c

T1=5mg

d

tanϕ2=1

answer is A, B, C, D.

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Detailed Solution

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T1sinϕ1=T2sinϕ21

T1cosϕ1=mg+T2cosϕ22

T1sinϕ2=mg3
 T2cosϕ2=mg4
 
 34tanφ2=1
 φ2=45
 T2×12=mgT2=2mg
 from(1)  T1sinφ1=mgfrom(2)  T1cosφ1=2mg}tanφ1=12
 T1=5mg

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