First slide

Connected bodies

Question

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

Moderate

A

Zero
B

13 N
C

3.3 N
D

19.6 N

Solution

$\begin{array}{l} a c c e l e r a t i o n o f s y s t e m \\ a = \frac{N e t p u l l i n g f o r c e}{T o t a l m a s s} \\ = \frac{6 g - 3 g}{9} = \frac{g}{3} \\ F o r C t h e e q u a t i o n o f m o t i o n i s \\ m_{C} g - T_{B C} = m_{C} a \\ T_{B C} = m_{C} (g - a) \\ = 3 (9.8 - \frac{9.8}{3}) \\ = 19.6 N \end{array}$

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