Three ropes A, B and C are tied together in one single knot K. (See figure.)
If the tension in rope A is 65.3 N, then what is the tension in rope B?

Three ropes A, B and C are tied together in one single knot K. (See figure.) If the tension in rope A is 65.3 N, then what is the tension in rope B? class=

Answer :

The tension in rope B is determined as 46.17 N.

Tension in rope A

Tension in rope A is the resultant tension of the rope B and C.

T(C) = T(B) = T

where;

  • T(C) is tension in rope C
  • T(B) is tension in rope B

T² + T² = 65.3²

2T² = 4,264.09

T² = 4,264.09/2

T² = 2,132.045

T = √2,132.045

T = 46.17 N

Thus, the tension in rope B is determined as 46.17 N.

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