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Units And Measurement

Question
CBSEENPH11020589

ABC is an equilateral triangle with O as its centre F1, F2 and F3 represent three forces acting on the sides AB, BC and AC respectively. If the total torque about O zero then the magnitude of F3 is

  • F1 +F2

  • F1 - F2

  • F1 +F2/2

  • 2(F1 +F2)

Solution

A.

F1 +F2

If we take clockwise torque
straight tau space equals space straight tau subscript straight F subscript 1 end subscript plus space straight tau subscript straight F subscript 2 end subscript plus space straight tau subscript straight F subscript 3 end subscript
0 equals straight F subscript 1 straight r space plus straight F subscript 2 straight r plus straight F subscript 3 straight r
straight F subscript 3 space equals space straight F subscript 1 plus straight F subscript 2