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Questions  

Two particles A and B , each of mass m, are kept stationary by applying a horizontal force F = mg on particle B as shown in the figure. Then 

a
2tan⁡β=tan⁡α
b
2T1=5T2
c
T12=T25
d
None of these

detailed solution

Correct option is C

From the figure T2cos⁡β=mg, T2sin⁡β=mgT1sin⁡α=T2sin⁡β=mgT1cos⁡α=mg+T2cos⁡β=2mg⇒cos⁡αsin⁡α=2mgmgtan⁡α=12⇒cos⁡α=25T125=2mg ⇒ T1=mg5T1T2=52⇒2T1=5T2

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