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Q.

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 inequilibrium with a constant horizontal force mg on B. Then T1 is

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a

mg

b

2mg

c

3mg

d

5mg

answer is B.

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Detailed Solution

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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