**Question 468.**

**An object of mass 3kg is suspended by two light, inextensible strings. The strings make angles of 30degrees and 40degrees to the horizontal.**

**Find the magnitude of the tension in each spring.**

**Answer 468.**

**T = tension in the string making an angle of 30° to the horizontal**

**T ' = tension in the string making an angle of 40° to the horizontal**

**By Lami's theorem,**

**T/sin(90° + 40°) = T '/sin(90° + 30°) = 3 * 9.81/sin(180° - 40° - 30°)**

**=> T = (3 * 9.81) * cos40°/sin70° N = 24 N**

**and T ' = (3 * 9.81) * cos30°/sin70° N = 27.1 N.**

**For Lami's theorem, please refer to the following link:**

**Lami's Theorem**

**Link to YA!**

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