First slide

Connected bodies

Question

Three equal weights A, B, C of mass 2 kg each are hanging on a string passing over a fixed frictionless pulley as shown in the fig. (3). The tension in the string connecting weights B and C is

Easy

A

zero
B

13 newton
C

3.3 newton
D

19.6 newton

Solution

T -2 g =2 a For A ... (1)
T₁ + 2g-T=2a For B ...(2)
2g -T₁ =2 a For C ...(3)
Adding eqs. (1) and (2), we get
T₁ = 4a …(4)
From eqs. (3) and (4),
2g - 4a = 2a or a=(g/3) ...(5)
Substituting the value of a from eq. (5) in eq. (4), we get
T₁ =4 x (g/3) =13N

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