Question

A 10 kg wt is suspended as shown below then tension T1 & T2 are​

Answer 1

answer:

20/√3kgwt,10/√3kgwt

Answer 2

Answer:

Tensions in the strings T₁ and T₂ are 200/ √3 and  100/ √3  respectively.

Explanation:

Given: Mass, m = 10 kg

           Strings with tension t₁ and t₂.

    Angle made by t₁ = 60

To find: Tensions t₁ and t₂.

Solution: Let us draw the components of tensions along the horizontal and vertical plane.

From the horizontal, we have:

                T₂ = T₁ cos 60 _______(1)

From the vertical, we have:

                T₁ cos 30 = mg _______(2)

From (2), we have:

                  T₁ × √3/ 2 = 10 × 10

                    T₁ = 100 × 2/ √3

                    T₁ = 200/ √3 _______(3)

Putting the (3) in (1), we obtain:

                T₂ = 200/ √3 × 1/2

                T₂ = 100/ √3

Therefore, the tensions in the strings T₁ and T₂ are 200/ √3 and  100/ √3  respectively.