A 4.0kg block is suspended from the ceiling of an elevator throug… - Vidyadip

Question

A 4.0kg block is suspended from the ceiling of an elevator through a, string having a linear mass density of $19.2 \times 10^{-3}kg/m.$ Find the speed (with respect to the string) with which a wave pulse can proceed on the string if the elevator accelerates up at the rate of $2.0m/s^2.$ Take $g = 10m/s^2.$

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Answer

$\text{m}=19.2\times10^{-3}\text{kg/m}$
From the freebody diagram,$\text{T}-4\text{g}-4\text{a}=0$
$\Rightarrow\text{T}=4(\text{a}+\text{g})=48\text{N}$
Wave speed, $\text{v}=\sqrt{\Big(\frac{\text{T}}{\text{m}}\Big)}=50\text{m/s}$

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