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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)cos37^(@)=T_(B)sin30^(@)`
`T_(A) xx (4)/(5)=T_(B)xx(1)/(2), (T_(A))/(T_(B))=(5)/(8)`
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