First slide

Connected bodies

Question

Three blocks are connected as shown in the Figure on a horizontal frictionless table. If m₁ = 1 kg, m₂ = 8 kg, m₃ : 27 kg and T₃ = 36 N, T₂ will be:

Moderate

A

18N
B

9N
C

3.375 N
D

1.75 N

Solution

Total mass of the system=1+8+27=36 kg.
acceleration of the system= $\frac{T_{3}}{m_{total}} = \frac{36}{36} = 1 m / s^{2}$
$T_{2} = (8 + 1) a = 9 N$

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