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In the following figure the masses of the blocks A and B are same and each equal to m. The tensions in the strings OA and AB are T2 and T1, respectively. The system is in
equilibrium with a constant horizontal force mg on B. Then T1 is

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a
mg
b
2mg
c
3mg
d
5mg

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detailed solution

Correct option is B

Considering free body diagram of block BΣFx=0;T1cos⁡θ1=mg  .......(i)ΣFy=0;T1sin⁡θ1=mg  .......(ii)By squaring and adding equations(i) & (ii), we getT12sin2⁡θ1+cos2⁡θ1=2(mg)2∴T1=2mg


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