Block A and B of mass 2 ,kg and 4 ,kg are suspended through a str… - Vidyadip

MCQ

Block $A$ and $B$ of mass $2\,kg$ and $4\,kg$ are suspended through a string using a pulley, inside an elevator moving downward with constant acceleration $2\,m/s^2$. The tension in the string which is joining two blocks

✓
$\frac{{64}}{3}N$
B
$\frac{{32}}{3}N$
C
$\frac{{8}}{3}N$
D
$\frac{{16}}{3}N$

✓

Answer

Correct option: A.

$\frac{{64}}{3}N$

a
$\mathrm{g}_{\mathrm{eff}}=\mathrm{g}-\mathrm{a}=10-2=8 \mathrm{m} / \mathrm{s}^{2}$

$\mathrm{T}=\frac{2 \mathrm{m}_{1} \mathrm{m}_{2}}{\mathrm{m}_{1}+\mathrm{m}_{2}} \mathrm{g}_{\mathrm{eff}}=\frac{2(2)(4)(8)}{6}=\frac{64}{3} \mathrm{N}$

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