First slide

Connected bodies

Question

In the figure the blocks A, B and C of mass m each, have acceleration a₁, a₂ and a₃ respectively. F₁ and F₂ are external forces of magnitudes 2 mg and mg respectively.

Moderate

A

a₁ = a₂ = a₃
B

a₁> a₃ > a₂
C

a₁= a₂, a₂ > a₃
D

a₁> a₂, a₂ = a₃

Solution

$\large {a_1} = \frac{{2mg - mg}}{m} = g;\;{a_2} = \frac{{(2m - m)g}}{{3m}} = \frac{g}{3}$
$\large {a_3} = \frac{{2mg - mg}}{{2m}} = \frac{g}{2} \Rightarrow {a_1} > {a_3} > {a_2}$

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