First slide

Connected bodies

Question

Three blocks of masses $m_{1}, m_{2} and m_{3}$ are connected by mass less unstretchable strings on a smooth surface. Tension $T_{2}$ , is

Moderate

A

2.3 N
B

32 N
C

23 N
D

3.2 N

Solution

Acceleration, a = $\frac{F}{m_{1} + m_{2} + m_{3}}$
= $\frac{40}{10 + 6 + 4} = 2 {ms}^{- 2}$
Tension $T_{2} = (m_{1} + m_{2}) a$
= (10 + 6)2 = 32 N

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