Three equal weight `A,B` and `C` of mass `2kg` each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weights `B` and `C` is approximately

Options

A. zero
B. `13N`
C. `3.3N`
D. `19.6`

Answer

D

Explanation

For `A, T_(1) -m_(1) a =m_(1) g`
For `B, (m_(2)+m_(3)) g -T_(2) = (m_(2) +m_(3))a`
`a = (F_("net"))/(m_(1)+m_(2)+m_(3)),Fo rC,m_(3)g -T_(2) =m_(3)a` .