Question

A mass `M` is hung with a light inextensible string. Tension in horizontal part of string is.

A. `sqrt(3)Mg`
B. `sqrt(2)Mg`
C. `(mg)/(sqrt3)`
D. `(mg)/(2)`

Answer 1

Correct Answer - A
Here `T_(1)=T_(2)cos30=T_(2)(sqrt(3))/(2)`
(i) `T_(2)=(2)/(sqrt(3)T_(1)`
(ii) Also `Mg=T_(2)sin30^(@)(T_(2))/(2)`
`Mg=(2)/(sqrt(3))(T_(1))/(2)=(T_(1))/(sqrt(3))`
i.e., `T_(1)=sqrt(3)Mg` .