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Question: A body of weight 2kg is suspended as shown in the figure. The tension \(T _ { 1 }\) in the horizonta...

A body of weight 2kg is suspended as shown in the figure. The tension T1T _ { 1 } in the horizontal string (in kg wt) is

A

2/32 / \sqrt { 3 }

B

3/2\sqrt { 3 } / 2

C

232 \sqrt { 3 }

D

22

Answer

232 \sqrt { 3 }

Explanation

Solution

Tsin30=2 kgwtT \sin 30 = 2 \mathrm {~kg} w t

T=4 kgwtT = 4 \mathrm {~kg} w t

T1=Tcos30T _ { 1 } = T \cos 30 °

=4cos30= 4 \cos 30 °

=23= 2 \sqrt { 3 }