The adjacent figure is the part of a horizontally stretched net. Section AB is stretched with a force of 10 N. The tensions in the sections BC and BF are

Options

A. 10 N, 11 N
B. 10 N, 6N
C. 10 N, 10 N
D. can't calculate due to insufficient data

Answer

c

Explanation

From figure, `T_(1) sintheta_(1) = T_(2) sintheta(2)`
As `theta_(1) = costheta_(1)+ T_(2) costheta_(2)= T`
`2T_(1), costheta = 10 N (as theta_(1) =theta_(2)T_(1) = T_(2))`
`implies 2 xxT_(1) xx cos60^(@) = 10 N`
`impliesT_(1)=10N=T_(2)`