First slide

Connected bodies

Question

Three equal weights of mass 2 kg each are hanging on a string passing over a fixed pulley as shown in Figure. What is the tension in the string connecting weights B and C ?

Easy

A

zero
B

13 N
C

3.3 N
D

19.6 N

Solution

Acceleration, $a = \frac{2 g + 2 g - 2 g}{2 + 2 + 2} = \frac{g}{3}; for' C^{'}, 2 g - T_{c} = 2 (\frac{g}{3})$
$\Rightarrow T_{c} = \frac{4 g}{3}$

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