Laws of Motion · Question 22

[figure] A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions T1 and T2, respectively, are (in N) : (Take acceleration due to gravity 10 m/s2)

1. 5 3, 5
2. 5 3, 5 3
3. 5, 5
4. 5, 5 3

Answer

(1) 5 3, 5

Solution

The body is in equilibrium; T1 makes 60 and T2 makes 30 with the horizontal.

Horizontal: T1 60 = T2 30

T12 = 3 T22 T1 = 3 T2

Vertical: T1 60 + T2 30 = mg = 10

3 T2 32 + T22 = 10

2T2 = 10 T2 = 5 N

T1 = 5 3 N

Answer: (1)