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A block of mass 20kg is balanced by thr...

A block of mass 20kg is balanced by three strings A, B & C as shown in figure. Ratio of tensions in strings AC and `BC(T_(A)//T_(B))` is

A

`5/8`

B

`(5sqrt(3))/(8)`

C

`(5)/(6)`

D

`8/5`

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(A) " "cos theta_1 = T_(B)" " sin theta_2`
`T_A " "cos 37^@ = T_(B)" " sin 30^(@)`
`T_A xx (4)/(5) = T_B xx (1)/(2) , (T_A)/(T_B) = (5)/(8)`
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