question_answer

Three equal weights A, B and C of mass 2 kg 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 [MP PET 1985; SCRA 1996]

A)             Zero    

B)             13 N

C)                         3.3 N              

D)                         19.6 N

Correct Answer: B

Solution :

                Tension between \[{{m}_{2}}\] and \[{{m}_{3}}\] is given by                         \[T=\frac{2{{m}_{1}}{{m}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}\times g\]             \[=\frac{2\times 2\times 2}{2+2+2}\times 9.8\]= 13 N