JEE Main2007PhysicsLaws of MotionActual
A body weighing 13 ~kg is suspended by two strings 5 ~m and 12 ~m long, their other ends being fastened to the extremities of a rod 13 ~m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are
Options
- A12 ~kg and 13 ~kg
- B5 ~kg and 5 ~kg
- C5 ~kg and 12 ~kg
- D5 ~kg and 13 ~kg
Correct answer
C. 5 ~kg and 12 ~kg
Step-by-step solution
T ₂ ( 2 - )= T ₁ T ₁ = T ₂ T ₁ + T ₂ =13 . OC = CA = CB AOC = OAC and COB = OBC = A = 5 13 and = 12 13 T ₁ ~T ₂ = 5 12 T ₁= 5 12 ~T ₂ ~T ₂ ( 5 12 5 13 + 12 13 )=13 ~T ₂ ( 169 12 13 )=13 ~T ₂=12 ~kgs . T ₁=5 ~kgs .