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. 13 N
C. 3.3 N
D. 19.6 N

Answer

B

Explanation

(b) Acceleration of system
`a=(" Net pulling force")/("Total mass")=(4g-2g)/(6)=(g)/(3)`
Equation of motion of block C is
`m_(C)g-T_("BC")=m_(C)a`
`therefore T_("BC")=m_(C)(g-a)`
`=2(9.8-(9.8)/(3))=13 N`